chapter 2 resource masters - bath county schoolspractice: word problems workbook (spanish)...
TRANSCRIPT
Course 1
Chapter XResource Masters
Course 1
Chapter 2Resource Masters
Copyright © by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce thematerial contained herein on the condition that such material be reproduced only forclassroom use; be provided to students, teacher, and families without charge; andbe used solely in conjunction with Glencoe Mathematics: Applications andConcepts, Course 1. Any other reproduction, for use or sale, is prohibited withoutprior written permission of the publisher.
Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240
Mathematics: Applications and Concepts, Course 1ISBN: 0-07-860065-0 Chapter 2 Resource Masters
1 2 3 4 5 6 7 8 9 10 024 12 11 10 09 08 07 06 05 04 03
Consumable Workbooks
Many of the worksheets contained in the Chapter Resource Mastersbooklets are available as consumable workbooks in both English andSpanish.
Study Guide and Intervention Workbook 0-07-860085-5
Study Guide and Intervention Workbook (Spanish) 0-07-860091-X
Practice: Skills Workbook 0-07-860086-3
Practice: Skills Workbook (Spanish) 0-07-860092-8
Practice: Word Problems Workbook 0-07-860087-1
Practice: Word Problems Workbook (Spanish) 0-07-860093-6
Reading to Learn Mathematics Workbook 0-07-861057-5
Answers for Workbooks The answers for Chapter 2 of theseworkbooks can be found in the back of this Chapter Resource Mastersbooklet.
Spanish Assessment Masters Spanish versions of forms 2A and 2C ofthe Chapter 2 Test are available in the Glencoe Mathematics: Applicationsand Concepts Spanish Assessment Masters, Course 1 (0-07-860095-2).
iii
Vocabulary Builder .............................vii
Family Letter............................................ix
Family Activity ........................................x
Lesson 2-1Study Guide and Intervention ..........................61Practice: Skills ..................................................62Practice: Word Problems..................................63Reading to Learn Mathematics........................64Enrichment .......................................................65
Lesson 2-2Study Guide and Intervention ..........................66Practice: Skills ..................................................67Practice: Word Problems..................................68Reading to Learn Mathematics........................69Enrichment .......................................................70
Lesson 2-3Study Guide and Intervention ..........................71Practice: Skills ..................................................72Practice: Word Problems..................................73Reading to Learn Mathematics........................74Enrichment .......................................................75
Lesson 2-4Study Guide and Intervention ..........................76Practice: Skills ..................................................77Practice: Word Problems..................................78Reading to Learn Mathematics........................79Enrichment .......................................................80
Lesson 2-5Study Guide and Intervention ..........................81Practice: Skills ..................................................82Practice: Word Problems..................................83Reading to Learn Mathematics........................84Enrichment .......................................................85
Lesson 2-6Study Guide and Intervention ..........................86Practice: Skills ..................................................87Practice: Word Problems..................................88Reading to Learn Mathematics........................89Enrichment .......................................................90
Lesson 2-7Study Guide and Intervention ..........................91Practice: Skills ..................................................92Practice: Word Problems..................................93Reading to Learn Mathematics........................94Enrichment .......................................................95
Lesson 2-8Study Guide and Intervention ..........................96Practice: Skills ..................................................97Practice: Word Problems..................................98Reading to Learn Mathematics........................99Enrichment .....................................................100
Chapter 2 AssessmentChapter 2 Test, Form 1 ..........................101–102Chapter 2 Test, Form 2A........................103–104Chapter 2 Test, Form 2B........................105–106Chapter 2 Test, Form 2C........................107–108Chapter 2 Test, Form 2D........................109–110Chapter 2 Test, Form 3 ..........................111–112Chapter 2 Extended Response Assessment .113Chapter 2 Vocabulary Test/Review.................114Chapter 2 Quizzes 1 & 2................................115Chapter 2 Quizzes 3 & 4................................116Chapter 2 Mid-Chapter Test ...........................117Chapter 2 Cumulative Review........................118Chapter 2 Standardized Test Practice....119–120Unit 1 Test/Review..................................121–122
Standardized Test Practice Student Recording Sheet ............................A1
Standardized Test Practice Rubric...................A2ANSWERS .............................................A3–A33
CONTENTS
iv
Teacher’s Guide to Using the Chapter 2 Resource Masters
The Fast File Chapter Resource system allows you to conveniently file the resources youuse most often. The Chapter 2 Resource Masters includes the core materials needed forChapter 2. These materials include worksheets, extensions, and assessment options. Theanswers for these pages appear at the back of this booklet.
All of the materials found in this booklet are included for viewing and printing in theGlencoe Mathematics: Applications and Concepts, Course 1, TeacherWorks CD-ROM.
Vocabulary Builder Pages vii-viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the chapter. Students are to recorddefinitions and/or examples for each term.You may suggest that students highlight orstar the terms with which they are notfamiliar.
When to Use Give these pages to studentsbefore beginning Lesson 2-1. Encouragethem to add these pages to theirmathematics study notebook. Remind themto add definitions and examples as theycomplete each lesson.
Family Letter and Family ActivityPage ix is a letter to inform your students’families of the requirements of the chapter.The family activity on page x helps themunderstand how the mathematics studentsare learning is applicable to real life.
When to Use Give these pages to studentsto take home before beginning the chapter.
Study Guide and InterventionThere is one Study Guide and Interventionmaster for each lesson in Chapter 2.
When to Use Use these masters asreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been absent.
Practice: Skills There is one master foreach lesson. These provide practice thatmore closely follows the structure of thePractice and Applications section of theStudent Edition exercises.
When to Use These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.
Practice: Word Problems There is onemaster for each lesson. These providepractice in solving word problems that applythe concepts of the lesson.
When to Use These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.
Reading to Learn Mathematics Onemaster is included for each lesson. The firstsection of each master asks questions aboutthe opening paragraph of the lesson in theStudent Edition. Additional questions askstudents to interpret the context of andrelationships among terms in the lesson.Finally, students are asked to summarizewhat they have learned using variousrepresentation techniques.
When to Use This master can be used as astudy tool when presenting the lesson or asan informal reading assessment afterpresenting the lesson. It is also a helpful toolfor ELL (English Language Learner)students.
v
Enrichment There is one extensionmaster for each lesson. These activities mayextend the concepts in the lesson, offer anhistorical or multicultural look at theconcepts, or widen students’ perspectives onthe mathematics they are learning. Theseare not written exclusively for honorsstudents, but are accessible for use with alllevels of students.
When to Use These may be used as extracredit, short-term projects, or as activitiesfor days when class periods are shortened.
Assessment OptionsThe assessment masters in the Chapter 2Resources Masters offer a wide range ofassessment tools for intermediate and finalassessment. The following lists describe eachassessment master and its intended use.
Chapter AssessmentChapter Tests
• Form 1 contains multiple-choice questionsand is intended for use with basic levelstudents.
• Forms 2A and 2B contain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations.
• Forms 2C and 2D are composed of free-response questions aimed at the averagelevel student. These tests are similar informat to offer comparable testingsituations. Grids with axes are providedfor questions assessing graphing skills.
• Form 3 is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing skills.
All of the above tests include a free-responseBonus question.
• The Extended-Response Assessmentincludes performance assessment tasksthat are suitable for all students. Ascoring rubric is included for evaluationguidelines. Sample answers are providedfor assessment.
• A Vocabulary Test, suitable for allstudents, includes a list of the vocabularywords in the chapter and ten questionsassessing students’ knowledge of thoseterms. This can also be used inconjunction with one of the chapter testsor as a review worksheet.
Intermediate Assessment• Four free-response quizzes are included
to offer assessment at appropriateintervals in the chapter.
• A Mid-Chapter Test provides an optionto assess the first half of the chapter. It iscomposed of both multiple-choice and free-response questions.
Continuing Assessment• The Cumulative Review provides
students an opportunity to reinforce andretain skills as they proceed through theirstudy of Glencoe Mathematics:Applications and Concepts, Course 1. Itcan also be used as a test. This masterincludes free-response questions.
• The Standardized Test Practice offerscontinuing review of pre-algebra conceptsin various formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiple-choice, short response, grid-in, andextended response questions. Bubble-inand grid-in answer sections are providedon the master.
Answers• Page A1 is an answer sheet for the
Standardized Test Practice questions thatappear in the Student Edition on pages 94–95. This improves students’familiarity with the answer formats theymay encounter in test taking.
• Detailed rubrics for assessing theextended response questions on page 95are provided on page A2.
• The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red.
• Full-size answer keys are provided for theassessment masters in this booklet.
Vo
cab
ula
ry B
uild
er
© Glencoe/McGraw-Hill vii Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Reading to Learn MathematicsVocabulary Builder
This is an alphabetical list of new vocabulary terms you will learn inChapter 2. As you study the chapter, complete each term’s definitionor description. Remember to add the page number where you foundthe term. Add this page to your math study notebook to reviewvocabulary at the end of the chapter.
Vocabulary TermFound
Definition/Description/Exampleon Page
average
bar graph
box-and-whisker plot
circle graph
data
frequency table
graph
horizontal axis
interval
key
leaves
© Glencoe/McGraw-Hill viii Mathematics: Applications and Concepts, Course 1
Vocabulary TermFound
Definition/Description/Exampleon Page
line graph
mean
measure of central tendency
median
mode
outlier
range
scale
statistics
stem-and-leaf plot
stems
tally mark
vertical axis
NAME ________________________________________ DATE ______________ PERIOD _____
Reading to Learn MathematicsVocabulary Builder (continued)
Family LetterNAME ________________________________________ DATE ______________ PERIOD _____
© Glencoe/McGraw-Hill ix Mathematics: Applications and Concepts, Course 1
Dear Parent or Guardian:
We use math in many of our daily routines. One of the things
we try to do in this class is relate activities in the classroom to
activities in the real world. Making this connection will help
students realize the importance of learning math concepts.
In Chapter 2, Statistics and Graphs, your child will be learn-
ing about bar graphs, line graphs, circle graphs, stem-and-leaf
plots, frequency tables, and mean, median, and mode. In the
study of this chapter, your child will complete a variety of daily
classroom assignments and activities and possibly produce a
chapter project.
By signing this letter and returning it with your child, you
agree to encourage your child by getting involved. Enclosed is
an activity that you can do with your child that also relates the
math we will be learning in Chapter 2 to the real world. You
may also wish to log on to the Online Study Tools for self-
check quizzes, Parent and Student Study Guide pages, and
other study help at www.msmath1.net. If you have any ques-
tions or comments, feel free to contact me at school.
Sincerely,
Fam
ily L
ette
r
Signature of Parent or Guardian ______________________________________ Date ________
Family ActivityNAME ________________________________________ DATE ______________ PERIOD _____
© Glencoe/McGraw-Hill x Mathematics: Applications and Concepts, Course 1
Bar Graphs and Line Graphs1. Have a family member help you count the number of cans of food, glass
jars of food, boxes of food, and bags of food you have in your pantry.
2. Make a bar graph to represent the data.
3. Name the type of container of which you have the most (can, glass jar,box, or bag).
4. Do you have more cans of food or more bags of food?
5. Make a line graph of the data.
6. Do you think a line graph or a bar graph is better for answering thequestions? Why?
Food in Pantry Number
cansglass jarsboxesbagsother
Less
on
2–1
© Glencoe/McGraw-Hill 61 Mathematics: Applications and Concepts, Course 1
SCHOOL Vinnie recorded his scoreson this month’s math quizzes. Make a frequency table of the data. Which score did Vinnie get most often?
Step 1 Choose a scale and interval. A scale that includes all the data is 0 to 10.An interval that separates the scale into equal parts is 2.
Step 2 Draw a table with three columns and label the columns.
Step 3 List the intervals, tally the data, and add the tallies.
Since the quiz score 9 has the greatest number in the frequency column, Vinnie scored 9 most often.
MUSIC Use the table that shows the number of hours the band members practiced in a week.
1. Make a frequency table for the data.
2. Which number of hours practicing is most common?
3. How many band members practiced more than 4 hours a week?
Statistics involves collecting, organizing, analyzing, and presenting data. Data are pieces ofinformation and are usually numbers.You can organize data by making a frequency table. A frequency table shows the number of times each piece of data appears.
The parts of a frequency table:
Scale: lets you record all of the data; includes the least and the greatest number
Interval: separates the scale into equal parts
Tally marks: lets you record a mark each time a piece of data appears
Frequency: gives the sum of the tally marks for each category
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionFrequency Tables
My Quiz Scores
9 8 9 5
5 9 6 2
9 8 9 4
My Quiz Scores
Score Tally Frequency
1–2 1 1
3–4 1 1
5–6 3 3
7–8 2 2
9–10 5 5
Hours SpentPracticing
3 4 3 5
2 3 4 3
3 2 1 5 2
1
2
4 1 3 2 1
© Glencoe/McGraw-Hill 62 Mathematics: Applications and Concepts, Course 1
Make a frequency table for each set of data.
1.
2.
L � Blue R � BrownG � Green H � HazelV � Violet
MOVIES Use the frequency table shown.
3. Describe the scale.
4. Describe the interval.
5. What is the most common gross sales category?
6. How many films grossed more than $299 million?
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: SkillsFrequency Tables
Class Quiz Scores
4 10 8
6 9 9
8 7 7
7 5 8
8 8 10
9 6 8
All-Time Top 27 Kids’ Films
Gross Sales(millions $) Tally Frequency
100–149 554 14
150–199 5 5
200–249 2 2
250–299 4 4
300–349 2 2
Students’ Eye Colors
R G R
L L V
R R L
R H L
H R R G
R
R
G
L
R
H
R
R
H
© Glencoe/McGraw-Hill 63 Mathematics: Applications and Concepts, Course 1
ANIMALS For Exercises 1–3, use Table A. For Exercises 4–6, use Table B.
Table A Table B
B � beetle E � earwigS � sow bug
Practice: Word ProblemsFrequency Tables
NAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–1
Insects Under a Rock
E S B E E BS E E B S ES S B E E SB E E E B ES E B S E EB S E E S E
Weights (lb) of Dogs at the Vet Clinic
Weight Tally Frequency
1–10 554 14
11–20 5554 19
21–30 55555 25
31–40 55 10
41–50 5 5
1. Maria is counting three types of insectsshe finds under rocks in the park for anecology survey. Make a frequency tableshowing her data from Table A.
2. How many more earwigs did Mariafind than beetles?
3. When Maria writes her report, she willlist the insects in order of mostcommon to least common. What ordershould she write in her report?
4. The strength of medicine given to a dogdepends on the dog’s weight. There is adifferent strength for each weightgroup. For which weight group should aveterinarian order the most medicine?the least medicine?
5. Describe the scale and the interval inTable B.
6. How many more dogs are in the mostfrequent group than in the second mostfrequent group?
© Glencoe/McGraw-Hill 64 Mathematics: Applications and Concepts, Course 1
Pre-Activity Complete the activity at the top of page 50 in your textbook. Writeyour answers below.
1. What is the height of the tallest tree?
2. How many trees are between 41 and 80 feet tall?
3. Tell how you might organize the heights of the trees so that theinformation is easier to find and read.
Reading the LessonRefer to the frequency table in the middle of page 50.
4. What does the number 13 in the Frequency column indicate?
5. Does the number in the Frequency column tell you anything about the frequency of individual numbers within the data set? How do you know?
6. How is frequency related to interval?
7. Why do the numbers in the Height column begin at 51 and end at 140?
8. How does an interval make it easier to read the table?
Helping You Remember9. Write the three steps used to make a frequency table. Then, using any
data set you want, make a frequency table for those numbers.
NAME ________________________________________ DATE ______________ PERIOD _____
Reading to Learn MathematicsFrequency Tables
© Glencoe/McGraw-Hill 65 Mathematics: Applications and Concepts, Course 1
HistogramsOften a graph is used to picture the data in a frequency table. When frequencies are pictured in a bar graph, the graph is called a histogram.For example, at the right is a histogram thatpictures the frequencies of the scores on a mathtest. Each bar in a histogram shows the number of pieces of data in a certain interval.
Use the histogram at the right to answer each question.
1. How many scores are in the interval 81–90?
2. In which interval(s) are there exactly threescores?
3. How many scores are 70 or less?
4. Suppose that, to pass this test, a student needed a score of 61 or higher. How many students passed the test?
5. Can you tell in which interval there is the greatest number of scores? Explain.
6. Can you tell what was the highest score on thetest? Explain.
7. Use the histogram at the right. In the space below, write two questions about the data in the histogram. Then answer each question.
Pulse Rates of Studentsin a Biology Class
0
1
2
3
4
5
6
7
8
9
66–7
0
71–7
5
76–8
0
86–9
0
81–8
5
91–9
5
Freq
uenc
y
Beats per Minute
10
Scores on a Math Test
0
1
2
3
4
5
6
7
8
9
10
41–5
0
51–6
0
61–7
0
71–8
0
81–9
0
91–1
00
Freq
uenc
y
Score
EnrichmentNAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–1
© Glencoe/McGraw-Hill 66 Mathematics: Applications and Concepts, Course 1
Make a bar graph of the data. Compare the number of students in jazz class with the number in ballet class.
Step 1 Decide on the scale and interval.
Step 2 Label the horizontal andvertical axes.
Step 3 Draw bars for each style.Step 4 Label the graph with a
title.About twice as many studentstake ballet as take jazz.
Make a line graph of the data. Then describe the change in Gwen’s allowance from 1998 to 2002.
Step 1 Decide on the scale and interval.Step 2 Label the horizontal and vertical axes.Step 3 Draw and connect the points for each year.Step 4 Label the graph with a title.Gwen’s allowance did not change from 1998 to 1999 and then increased from 1999 to 2002.
Make the graph listed for each set of data.
1. bar graph 2. line graph
199719
9819
9920
0020
0120
02
101214161820222426
Amou
nt ($
)
Year
0
Gwen's Allowance
JazzTapBallet
6
8
4
0
2
10
12St
uden
ts
StyleModern
Dance Class Attendance
A graph is a visual way to display data. A bar graph is used to compare data.A line graph is used to show how data changes over a period of time.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionBar Graphs and Line Graphs
Dance Classes
Style Students
BalletTapJazzModern
1145
10
Gwen’s Allowance
Year 1997 1998 1999 2000 2001 2002
Amount ($) 10 15 15 18 20 25
Getting Ready for School
Day Time (min)
MondayTuesdayWednesdayThursdayFriday
3430372025
Riding the Bus
Student Time (min)
PaulinaOmarUlariJacobAmita
1040201535
© Glencoe/McGraw-Hill 67 Mathematics: Applications and Concepts, Course 1
Make a bar graph for each set of data.
1. 2.
Use the bar graph made in Exercise 1.
3. Which country made the greatest number of cars?
4. How does the number of cars made in Japan compare to the numbermade in Spain?
For Exercises 5 and 6, make a line graph for each set of data.
5. 6.
7. POPULATION Refer to the graph made in Exercise 5. Describe the changein Yuba County’s population from 1990 to 2000.
8. WEATHER Refer to the graph made in Exercise 6. Describe the change in the amount of rainfall from January to June.
Practice: SkillsBar Graphs and Line Graphs
NAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–2
Everglades National Park
Month Rainfall (inches)
JanuaryFebruaryMarchAprilMayJune
22227
10
Yuba County, California
Year Population (thousands)
199019921994199619982000
596162616060
People in America in 1630
Colony People (hundreds)
MaineNew HampshireMassachusettsNew YorkVirginia
4594
25
Cars Made in 2000
Country Cars (millions)
BrazilJapanGermanySpainU.S.A.
18526
© Glencoe/McGraw-Hill 68 Mathematics: Applications and Concepts, Course 1
TREES For Exercises 1, 3, and 4, use Table A. For Exercises 2, 5, and 6, use Table B.
Table A Table B
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: Word ProblemsBar Graphs and Line Graphs
Average Heights of Pine Trees
Tree Height (ft)
Eastern White LodgepoleLongleafPitchPonderosa
7548
11055
140
Lemons Produced by My Tree
Year Number of Lemons
19992000200120022003
261241227855
1. You and Jorge are writing a report ondifferent kinds of pine trees. Make abar graph for the report that shows theaverage heights of different kinds ofpine trees. Use the data from Table A.
2. Table B shows the number of lemonsyour tree produced each year. Make aline graph for the data in Table B.
3. Use your graph for Exercise 1. Whichtree is about half as tall as aponderosa?
4. How does the average height of a pitchpine compare to the average height of alodgepole pine?
5. Use the line graph you made inExercise 2. Describe the change in fruitproduction for your lemon tree.
6. FRUIT Suppose you want to make agraph of the total number of lemonsproduced by your lemon tree and thetotal number of oranges produced byyour orange tree in one year. Would youmake a bar graph or a line graph?Explain.
© Glencoe/McGraw-Hill 69 Mathematics: Applications and Concepts, Course 1
Pre-Activity Complete the activity at the top of page 56 in your textbook. Writeyour answers below.
1. What type of roller coaster is most common?
2. What might be an advantage of organizing data in a table? Are there any disadvantages of organizing data in this way?
Reading the LessonCompare the frequency table at the top of page 56 with the bar graphin the middle of the same page.
3. How are they similar?
4. How are they different?
5. For purposes of comparison, which do you find easier to use to compare differences among frequencies—the frequency table or the bar graph? Explain.
Refer to the line graph at the bottom of page 56.
6. Represent the same data in a table that uses only numbers.
7. Compare the table you just created with the line graph. Which do you think presents thedata in a way that is easier to compare changesover periods of time? Explain.
Helping You Remember8. Explain how the information in a line graph differs from the information
in a bar graph.
Reading to Learn MathematicsBar Graphs and Line Graphs
NAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–2
U.S. Wooden Roller Coasters
© Glencoe/McGraw-Hill 70 Mathematics: Applications and Concepts, Course 1
Line PlotsIn a line plot, data are pictured on a number line. An ✕ is used to representeach item of data. For example, the figure below is a line plot that picturesdata about the number of CDs owned by the students in a math class.
Use the line plot above to answer each question.
1. How many students own exactly eighteen CDs?
2. What number of CDs is owned by exactly three students?
3. A data item that is far apart from the rest of the data is called an outlier.Is there an outlier among these data? What is it?
4. What would you say is the number of CDs owned by the “typical” studentin this class?
5. Use the data in the table to complete the line plot below. Four data pointshave been graphed for you.
70
�
���
���
5 10 15 20 25 30 350
Number of CDs Owned by Students in a Math Class�����
����� � � � � � � �
����
����
���
���
����
���� �
NAME ________________________________________ DATE ______________ PERIOD _____
Enrichment
Number of Seconds for 24 Sixth-Graders to Run 200 Meters
130 100 85 120 100 100 110 150 90 100 110 130125 105 100 70 125 85 95 130 105 90 105 100
Less
on
2–3
© Glencoe/McGraw-Hill 71 Mathematics: Applications and Concepts, Course 1
SCHOOL The circle graph shows the subjects Mike studies during homework time. Which subject does Mike spend most of his time studying?
The largest section of the graph is the sectionrepresenting math. So, math takes up the most time.
How does the time spent studying social studies compare to the spent studying science?
The section representing social studies is about twice the size of the section representingscience. So, twice as much time is spent on social studies as on science.
SURVEYS Use the graph that shows the results of a favorite colors survey.
1. Which color is the least favorite?
2. Which colors are the favorites of the same number of people?
3. How does the number of people who say green is their favoritecolor compare to the number who say yellow is their favoritecolor?
FOOD Use the graph of Mike’s study time from the Examples.
4. Which subject does Mike spend the least time studying?
5. On which two subjects together does Mike spend about the same time as reading?
6. How does the amount of time spent on math compare to the amount of time Mikespends on science?
Favorite Colors
Green19%
Yellow10%
Blue33%
Red25%
Purple3%
Orange10%
Mike's Homework
Music1%
Science8%
Math48%
SocialStudies
17%
Reading26%
A circle graph is used to compare parts of a whole. The pie-shaped sections show the groups. Thepercents add up to 100%.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionCircle Graphs
© Glencoe/McGraw-Hill 72 Mathematics: Applications and Concepts, Course 1
GEOGRAPHY Use the graph that shows how much of Earth’s land that each continent represents.
1. Which continent has the greatest area?
2. Which two continents are the smallest?
3. How does the size of Europe compare to the size of Africa?
4. How much larger is Asia than Africa?
LAKES Use the graph that shows how much of the total surface of the Great Lakes each lake takes up.
5. Which of the Great Lakes is the smallest?
6. Which two lakes are about the same size?
7. How does Lake Erie compare to Lake Ontario?
8. Which two lakes together are the same size as Lake Superior?
VACATIONS Use the graph that shows how families will spend winter vacation.
9. How will most families spend their vacations?
10. Will more families go to the beach or go shopping?
11. Compare how many families will be skiing to how many will be visiting family.
Winter Vacation
Visit Family33%
Shop22%
Beach7%
Home27%
Ski11%
Great Lakes
Ontario8%
Superior34%
Huron24%
Erie10%
Michigan24%
Continents
SouthAmerica
12%
Asia30%
NorthAmerica
16%
Australia6%
Europe7%
Africa20%
Antartica9%
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: SkillsCircle Graphs
© Glencoe/McGraw-Hill 73 Mathematics: Applications and Concepts, Course 1
SPORTS For Exercises 1–3, use Graph A. For Exercises 4–6, use Graph B.
Graph A Graph BAttendance at the Baseball Game
Age 61and older5%
Age 31-4521%
Age 0-1525%
Age 16-3035%
Age 46-6014%
Favorite Sports ofMr. Franco's Class
Baseball49%
Hockey10%
Basketball20%
Football21%
Practice: Word ProblemsCircle Graphs
NAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–3
1. Kwan surveyed Mr. Franco’s class tofind out the favorite sports of the class.Which sport was the favorite of thelargest percent of students in the class?Which sport was the favorite of thesmallest percent of students?
2. Which sports were the favorite of aboutthe same number of students?
3. Which sport is the favorite of half asmany students as basketball?
4. Mr. Jackson kept track of attendance atthe baseball game for an advertisingagency. The agency wants to target itsadvertising to the age group that hasthe highest percent in attendance. Towhich group should the agency targetads?
5. Which two age groups have about thesame percent of people?
6. Mr. Jackson’s daughter is in the agegroup with the second highest percent.In which age group is Mr. Jackson’sdaughter?
© Glencoe/McGraw-Hill 74 Mathematics: Applications and Concepts, Course 1
Pre-Activity Complete the Mini Lab at the top of page 62 in your textbook.Write your answers below.
1. Make a bar graph of the data.
2. Which graph represents the data better, a circle graph or a bar graph? Explain.
Reading the Lesson3. A circle graph compares parts of a whole. How is a circle well suited for
this kind of representation?
4. At the bottom of page 62, the text says that the percents add up to 100%.Why is this important?
Helping You Remember5. Find a circle graph in a newspaper or magazine. Explain to a classmate
what the sections of the graph represent.
Driving Together in OneCar to Spring Break
NAME ________________________________________ DATE ______________ PERIOD _____
Reading to Learn MathematicsCircle Graphs
© Glencoe/McGraw-Hill 75 Mathematics: Applications and Concepts, Course 1
A Circle Graph MysteryThe circle graph below was drawn to show the leading causes of fire in theUnited States. However, all the labels except one have mysteriouslydisappeared.
Use the clues below to decide what the labels should be and wherethey belong. Then complete the graph. (Remember: Each label mustinclude a word or phrase and a percent.)
Clue 1 Most fires are caused by heating equipment.
Clue 2 Fires caused by electrical wiring and fires caused by heatingequipment together make up 46% of all fires.
Clue 3 The percent of fires caused by children playing is 12% less thanthe percent of fires caused by cooking.
Clue 4 The percent of fires caused by open flames is equal to thepercent of fires caused by children playing.
Clue 5 The percent of the fires caused by cooking and the percent offires caused by arson are together just 1% less than the percentof fires caused by heating equipment.
Clue 6 The percent of the fires caused by electrical wiring is 15%greater than the percent caused by children playing.
Clue 7 Fires caused by smoking and fires caused by arson togethermake up 17% of all fires.
Clue 8 Fires that result from other causes are listed in a categorycalled other.
Causes of Fires
cooking16%
EnrichmentNAME ________________________________________ DATE ______________ PERIOD _____
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© Glencoe/McGraw-Hill 76 Mathematics: Applications and Concepts, Course 1
The graph shows the time Ruben spends each day practicing piano scales. Predict how much time he will spend practicing his scales on Friday.
Continue the graph with a dotted line in the samedirection until you reach a vertical position for Friday.By extending the graph, you see that Ruben will probably spend half an hour practicing piano scales on Friday.
MONEY Use the graph that shows the price of a ticket to a local high school football game over the last few years.
1. Has the price been increasing or decreasing? Explain.
2. Predict the price of a ticket in year 6 if the trendcontinues.
3. In what year do you think the price will reach $9.00 if the trend continues?
BANKS Use the graph that shows the interest rate for a savings account over the last few years.
4. What does the graph tell you about interest rates?
5. If the trend continues, when will the interest rate reach 1 percent?
1 2 3 4 5 6 7 8
3%
2%
1%
4%
5%
6%
Rate
Year
0
Interest Rates
1 2 3 4 5 6 7 8
3
2
1
4
5
6
7
8
9Pr
ice
($)
Year
0
Football Tickets
Sat.
Sun.
Mon.Tu
e.W
ed.Th
ur.Fri
.
1
2
Hour
s
Day
0
Piano Scale Practice Times
Because they show trends over time, line graphs are often used to predict future events.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionMaking Predictions
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© Glencoe/McGraw-Hill 77 Mathematics: Applications and Concepts, Course 1
INTERNET Use the graph that shows Internet users in the United States.
1. Describe the change in active Internet users from April2000 to April 2001.
2. Predict how many active users there were in October2001 if the trend continued.
3. Predict when the number of active users exceeded 115 million if the trend continued.
4. Were there more active users in January 2002 orOctober 2001? Explain.
SPORTS Use the graph that shows the winning times of the 10K Biathlon rounded to the nearestminute.
5. How did the winning time change from 1980 to 2002?
6. To the nearest minute, by how much did the winningtime change from 1980 to 2002?
7. Predict the winning time for 2006 if the trend continues.
8. Predict when the winning time will be less than 20 minutes if the trendcontinues.
'80 '84 '88 '92 '94 '98 '02 '06
26
25
24
27
28
29
30
31
32
33
Tim
e (m
in)
Winter Olympic Year
0
10K Biathlon Winning Times
April
'00
July
'00
Oct. '0
0
Jan. '0
1
April
'01
July
'01
Oct. '0
1
Jan. '0
2
75
70
65
80
85
90
95
100
105
110
115
120
User
s (m
illio
ns)
Date
0
Active Internet Users
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: SkillsMaking Predictions
© Glencoe/McGraw-Hill 78 Mathematics: Applications and Concepts, Course 1
FITNESS For Exercises 1–3, use Graph A. For Exercises 4–6, use Graph B.
Graph A Graph B
1 2 3 4 5 6 7 8
30
20
10
40
50
60
70
80
Num
ber o
f Sit-
ups
Week
0
Sit-ups
1 2 3 4 5 6
6
4
2
8
10
12
14
Num
ber o
f Stu
dent
s
Week
0
Aerobics Class
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: Word ProblemsMaking Predictions
1. Refer to Graph A. Describe the changein the number of students taking theaerobics class.
2. Predict how many students will be inthe aerobics class in week 6 if the trendcontinues.
3. Predict how many students will be inthe aerobics class in week 8.
4. Describe the change in the number ofsit-ups Cara can do.
5. Predict how many sit-ups Cara will beable to do in week 6 if the trendcontinues.
6. Predict the week in which Cara will beable to do 80 sit-ups if the trendcontinues.
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© Glencoe/McGraw-Hill 79 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Pre-Activity Complete the activity at the top of page 66 in your textbook. Writeyour answers below.
1. Describe the trends in the winning amounts.
2. Make a prediction as to the amount of money the winner of the 2005Daytona 500 will receive.
Reading the LessonRefer to the sentence just below the activity at the top of page 66:“Line graphs are often used to predict future events because theyshow trends over time.”
3. The word predict comes from two Latin words that mean “to tell inadvance.” Look up the word predict in a dictionary. What meaning isgiven for the word?
4. Look up the word trend in a dictionary. What meaning is given for theword as it is used in the definition of line graph?
5. Look at the line graph at the bottom of page 66. In terms of trend, what happened between 1997 and 1998? What is the difference between prediction and data or statistics?
Helping You Remember6. Find two line graphs, one where you feel you can predict the future with
confidence and one where you cannot. Explain the difference.
Reading to Learn MathematicsMaking Predictions
© Glencoe/McGraw-Hill 80 Mathematics: Applications and Concepts, Course 1
Graphs and Decision MakingJust as important as knowing how to make a bar graph or a line graph isdeciding what type of graph to use. Here are some guidelines to help youmake that decision.
• A bar graph compares data that fall into distinct categories.
Example Use a bar graph to show how the populations of several citiescompare in one year.
• A line graph shows changes in data over a period of time.
Example Use a line graph to show how the population of one city changedover several years.
Would you use a bar graph or a line graph to show these data?
1. average temperatures in Sacramento for each month of the year
2. average temperatures in January in five California cities
3. land area of the continents
4. number of CD players purchased each year from 1981 through 1990
5. weight of a baby in each month from birth to one year of age
6. heights of the world’s five tallest trees
Make an appropriate graph for each set of data.
7. Cars in Use 8. Seating Capacity of Aircraft
Seating Capacity of Aircraft
Model
Cars in Use
NAME ________________________________________ DATE ______________ PERIOD _____
Enrichment
Model Number of Seats
B747DC-10L-1011MD-80
405288296142
Year Number (millions)
1970198019902000
80105124136
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© Glencoe/McGraw-Hill 81 Mathematics: Applications and Concepts, Course 1
Make a stem-and-leaf plot of the data in the table. Then write a fewsentences that analyze the data.
Step 1 Order the data from least to greatest.41 51 52 53 55 60 65 65 67 68 70 72
Step 2 Draw a vertical line and write the tens digitsfrom least to greatest to the left of the line.
Step 3 Write the ones digits to the right of the linewith the corresponding stems.
→ � � ←
6|5 � $65
Step 4 Include a key that explains the stems and leaves.
By looking at the plot, it is easy to see that the least amount of money earned was $41 and the greatest amount was $72. You can also see that most of the data fall between $51 and $68.
Make a stem-and-leaf plot for the set of data below. Write a fewsentences that analyze the data.
34 44 51 48 55 41 47 22 55
KeyAlways write each leaf,even if it repeats.
The onesdigits of thedata formthe leaves.
In this dataset, the tensdigits formthe stems.
Sometimes it is hard to read data in a table.You can use a stem-and-leaf plot to display the data in amore readable way. In a stem-and-leaf plot, you order the data from least to greatest. Then youorganize the data by place value.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionStem-and-Leaf Plots
Money EarnedMowing Lawns ($)
60 55 53 4167 72 65 6865 70 52 51
Stem Leaf
4567
11 2 3 50 5 5 7 80 2
© Glencoe/McGraw-Hill 82 Mathematics: Applications and Concepts, Course 1
Make a stem-and-leaf plot for each set of data.
1. 18, 16, 13, 20, 33, 58, 32, 14, 61, 67, 52 2. 61, 75, 62, 63, 74, 71, 75, 82, 64, 81, 91, 65
3. $52, $49, $37, $21, $65, $23, $49, $51, 4. 82°, 91°, 80°, 55°, 63°, 54°, 83°, 90°, 84°,$22, $21, $24, $47, $44, $53, $61 91°, 59°, 62°, 50°, 92°, 85°, 92°, 92°
SPORTS For Exercises 5–8, use the stem-and-leaf plot that shows the total number of points earned by each volleyball team at atournament.
5. What was the greatest number of points earned?
4|5 � 45 points
6. What was the least number of points earned?
7. How many teams earned more than 50 points?
8. Between what numbers are most of the points earned?
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: SkillsStem-and-Leaf Plots
Stem Leaf
23456
96 6 7 8 94 5 5 7 91 4 91 3 5
© Glencoe/McGraw-Hill 83 Mathematics: Applications and Concepts, Course 1
TRAFFIC For Exercises 1 and 2, use the table. For Exercises 3 and 4, usethe stem-and-leaf plot.
Number of Birds at a Watering Hole Each Hour
3|4 � 34 birds
Practice: Word ProblemsStem-and-Leaf Plots
NAME ________________________________________ DATE ______________ PERIOD _____
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1. Mr. Chin did a traffic survey. He wrotedown the number of trucks that passedthrough an intersection each hour.Make a stem-and-leaf plot of his data.
2. Refer to your stem-and-leaf plot fromExercise 1. Mr. Chin needs to know therange of trucks passing through theintersection in one hour into which thegreatest number of hours fall.
3. What is the least number of birds atthe watering hole in one hour? What isthe greatest number?
4. What is the most frequent number ofbirds to be at the watering hole in onehour?
5. RVs Make a stem-and-leaf plot for thenumber of RVs Mr. Chin counted in 12hours: 3, 4, 9, 13, 7, 9, 8, 5, 4, 6, 1, 11.
6. RVs Write a few sentences that analyzethe RV data for Mr. Chin’s report inExercise 5.
Stem Leaf
12345
8 94 8 93 4 4 42 5 5 5 5 7 80 0 3 3 4 6 6 7
Number of Trucks Passing Throughthe Intersection Each Hour
5 15 6 42 34 2819 18 19 22 23 2132 26 34 19 29 2110 6 8 40 14 17
© Glencoe/McGraw-Hill 84 Mathematics: Applications and Concepts, Course 1
Pre-Activity Complete the activity at the top of page 72 in your textbook. Writeyour answers below.
1. What were the least and greatest number of points scored?
2. Which number of points occurred most often?
Reading the Lesson3. In a stem-and-leaf plot, in what order are the data?
4. In a stem-and-leaf plot of two-digit numbers, how are the datarepresented?
5. In the box below the stem-and-leaf plot on page 72, it says "Always writeeach leaf even if it repeats." Because of this rule, what do the leaves of astem-and-leaf plot tell you that you do not know from a frequency table?
6. Look at the stem-and-leaf plot at the top of page 73. What number ofbutterflies per day occurs the most often in the stem-and-leaf plot? Whatdoes that number indicate?
Helping You Remember7. Write the steps for making a stem-and-leaf plot. Show someone what a
stem-and-leaf plot is, how to read one, and how to make one.
NAME ________________________________________ DATE ______________ PERIOD _____
Reading to Learn MathematicsStem-and-Leaf Plots
© Glencoe/McGraw-Hill 85 Mathematics: Applications and Concepts, Course 1
A back-to-back stem-and-leaf plot is used to compare two sets of data. Inthis type of plot, the leaves for one set of data are on one side of the stems,and the leaves for the other set of data are on the other side of the stems. Twokeys to the data are needed.
ELECTIONS Use the back-to-back stem-and-leaf plot of the electoralvotes cast by each state and the District of Columbia for theDemocratic and Republican candidates for U.S. president in 2000.
2|0 � 2 votes 0|3 � 3 votes
1. What is the greatest number of electoral votes cast by a state for theDemocratic candidate? the greatest number of electoral votes cast by astate for the Republican candidate?
2. Which candidate received votes from the greater number of states?
3. Which candidate received the greater number of total votes?
4. What is the difference between the number electoral votes cast for thecandidates?
5. Write a sentence or two comparing the number of electoral votes cast forthe two candidates.
EnrichmentNAME ________________________________________ DATE ______________ PERIOD _____
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Democrat Stem Republican
2 3 3 4 4 4 5 7 7 80 0 1 1 2 5 8
2 33
4
012345
3 3 3 3 3 4 4 4 5 5 5 6 6 7 8 8 8 8 8 9 91 1 2 3 3 41 52
© Glencoe/McGraw-Hill 86 Mathematics: Applications and Concepts, Course 1
The prices of twelve different jackets are shown. Find the mean.
mean �
� �41424
� or 37
The mean price of a jacket is $37.
Find the mean for the snowfall data with and without the outlier. Then tell how the outlier affects the mean of the data.
Compared to the other values, 4 inches is low. So, it is anoutlier.
mean with outlier mean without outlier
mean � mean �
� �850� or 16 � �
746� or 19
With the outlier, the mean is less than the values of most of the data. Without the outlier,the mean is close in value to the data.
Find the mean for each set of data.
1. 11, 8, 7, 12, 10, 9, 13, 26 2. 15, 10, 9, 17, 24, 27, 39, 15, 24
3. 26, 19, 29, 15, 2, 31, 56, 30 4. 108, 121, 73, 79, 56, 91
5. Find the mean for the set of data in Exercise 1 without the outlier. Thentell how the outlier affects the mean of the data.
20 � 19 � 20 � 17���4
20 � 19 � 20 � 17 � 4���5
A set of data may contain very high or very low values. These values are called outliers.
← sum of the data← number of data items
25 � 34 � 39 � … � 27���12
The mean is the most common measure of central tendency. It is an average, so it describes all of thedata in a data set.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionMean
Jacket Prices ($)
25 34 39 4145 52 27 2256 61 15 27
Month Snowfall (in.)
Nov.Dec.Jan.Feb.Mar.
201920174
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Practice: SkillsMean
© Glencoe/McGraw-Hill 87 Mathematics: Applications and Concepts, Course 1
Find the mean for each set of data.
1. 6, 9, 2, 4, 3, 6, 5 2. 25, 18, 14, 27, 25, 14, 18, 25, 23
3. 13, 6, 7, 13, 6 4. 8, 2, 9, 4, 6, 8, 5
5. 13, 7, 17, 19, 7, 15, 11, 7 6. 1, 15, 9, 12, 18, 9, 5, 14, 7
7. 28, 32, 23, 43, 32, 27, 21, 34 8. 30, 16, 29, 32, 14, 21, 26
9. 42, 35, 27, 42, 38, 35, 29, 24 10. 157, 124, 157, 124, 157, 139
Identify the outlier or outliers in each set of data.
11. 12.
2|4 � 24
WEATHER Use the data in the table that shows daily temperatures.
13. Identify the outlier.
14. What is the mean of the data with theoutlier included?
15. What is the mean of the data without the outlier included?
16. How does the outlier temperature affect the mean of the data?
NAME ________________________________________ DATE ______________ PERIOD _____
Stem Leaf
2345
0 1 4 70 0 1 5 63 67
Price Tally Frequency
$10 4 4
$20 5 5
$30 3 3
$40 1 1
Day Temp. (°F)
MondayTuesdayWednesdayThursdayFriday
6970733568
Practice: Word ProblemsMean
© Glencoe/McGraw-Hill 88 Mathematics: Applications and Concepts, Course 1
ANIMALS For Exercises 1–3, use the table about bears.
NAME ________________________________________ DATE ______________ PERIOD _____
1. You are writing a report on bears. Youare analyzing the data on heights andweights in the table above. First lookfor outliers. Identify the outlier for theheight data. Identify the outlier for theweight data.
2. Find the mean of the bear weight datawith and without the outlier.
3. Describe how the outlier affects themean of the bear weight data.
4. WORK Carlos earned $23, $29, $25,$16, and $17 working at an ice creamshop after school. What is the meanamount he earned?
5. CARS The cost of a tank of gas at ninedifferent gas stations is shown below.What was the mean cost of a tank ofgas?
Cost of Gas: $17, $18, $22, $15, $17,$16, $25, $21, and $20
6. SCHOOL Sally received scores on mathquizzes as shown below. Find her meanscore with and without both outliers.
Quiz Scores: 84, 85, 91, 81, 52, 92, 99,91, and 45
Bear Average Height (ft) Average Weight (lb)
Alaskan BrownBlackGrizzlyPolar
8677
1,500338588850
Pre-Activity Complete the Mini Lab at the top of page 76 in your textbook.Write your answers below.
1. How many pennies are in each cup?
2. For the five quizzes, your average score was _______ points.
3. Suppose your teacher gave you another quiz and you scored 14 points.How many pennies would be in each cup?
Reading the Lesson4. Look up the word mean in a dictionary. Write the meaning that fits the
way the word is used in this lesson.
Look at the paragraph below the activity at the top of page 76 in yourtextbook. A number that helps describe all of the data in a data set isan average. An average is also referred to as a measure of centraltendency.
5. Is the mean a good measure of central tendency when there is no outlier?Give an example.
6. Is the mean a good measure of central tendency when there is an outlier?Give an example.
Helping You Remember7. Explain one problem with using the mean as a measure of central
tendency.
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Reading to Learn MathematicsMean
© Glencoe/McGraw-Hill 89 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
© Glencoe/McGraw-Hill 90 Mathematics: Applications and Concepts, Course 1
Linguistic StatisticsLinguistics is the study of human speech. The activity on this page showsthe type of data collection and analysis that might be done by a linguist whois researching the structure of the English language. All questions refer to thePreamble to the U.S. Constitution, printed at the bottom of the page.
1. Which two consonants do you think appear most often in the Preamble?
2. Which vowel do you think appears most often in the Preamble? least often?
3. Complete this table by counting the occurrences of each letter.A few letters have been counted already, to help you get started.(Hint: Your total should be 268.)
4. Which two consonants actually appear most often in the Preamble?
5. Find the mean frequency for the consonants. Which two consonants occurthe closest number of times to this mean?
6. Which vowel actually appears most often in the Preamble? least often?
7. Find the mean frequency for the vowels. Which vowel occurs the closestnumber of times to this mean?
8. Which word do you think occurs most often in the Preamble? Verify your answer.
Preamble to the Constitution of the United States of AmericaWe the People of the United States, in order to form a more perfect Union, establishjustice, insure domestic tranquility, provide for the common defense, promote thegeneral welfare, and secure the blessings of liberty to ourselves and our posterity,do ordain and establish this Constitution for the United States of America.
NAME ________________________________________ DATE ______________ PERIOD _____
Enrichment
Letter Frequency Letter Frequency Letter Frequency
a j s
b k t
c l u
d 11 m v
e n 17 w
f o x
g p y
h 9 q z
i r 20
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© Glencoe/McGraw-Hill 91 Mathematics: Applications and Concepts, Course 1
The table shows the costs of seven different books. Find the mean,median, and mode of the data.
mean: � �1075
� or 15
To find the median, write the data in order from least to greatest.median: 11, 13, 13, 14, 16, 16, 22
To find the mode, find the number or numbers that occur most often.mode: 11, 13, 13, 14, 16, 16, 22
The mean is $15. The median is $14. There are two modes, $13 and $16.
Find the range of the data in the table.Then write a sentence describing how the data vary.
The greatest value is 63. The least value is 32. So, the range is 63° � 32° or 31°. The range is large. It tells us that the data vary greatly in value.
Find the mean, median, mode, and range of each set of data.
1. 14, 13, 14, 16, 8 2. 29, 31, 14, 21, 31, 22, 20
3. 4.
Whereas the measures of central tendency describe the average of a set of data, the range of a set ofdata describes how the data vary.
22 � 13 � 11 � 16 � 14 � 13 � 16�����7
The median is the middle number of the data put in order, or the mean of the middle two numbers.The mode is the number or numbers that occur most often.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionMedian, Mode, and Range
Snowfall (in.)
2 6 5 43 0 1
Quiz Scores
72 60 8068 72 86
Temperature (°F)
40 32 5560 63 50
Book Costs ($)
22 13 11 1614 13 16
© Glencoe/McGraw-Hill 92 Mathematics: Applications and Concepts, Course 1
Find the mean, median, mode, and range for each set of data.
1. 6, 9, 2, 4, 3, 6, 5 2. 13, 6, 7, 13, 6
3. 1, 15, 9, 12, 18, 9, 5, 14, 7 4. 13, 7, 17, 19, 7, 15, 11, 7
5. 3, 9, 4, 3, 9, 4, 2, 3, 8 6. 25, 18, 14, 27, 25, 14, 18, 25, 23
7. 8, 3, 9, 4, 6, 7, 5 8. 28, 32, 23, 43, 32, 27, 21, 34
9. 157, 124, 157, 124, 157, 139 10. 42, 35, 27, 42, 38, 35, 29, 24
11. Write a sentence that describes how the data items in Exercise 5 vary.
12. Why is mode not the best choice to describe the data in Exercise 5?Explain.
MUSEUMS Use the table showing the number of visitors to the art museum each month.
13. What is the mean of the data?
14. What is the median of the data?
15. What is the mode of the data?
16. Which measure of central tendency best describes the data? Explain.
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: SkillsMedian, Mode, and Range
Vistors to the ArtMuseum (thousands)
3 11 5 45 3 6 3
12 2 2 4
© Glencoe/McGraw-Hill 93 Mathematics: Applications and Concepts, Course 1
SCIENCE For Exercises 1–3, use Table A. For Exercises 4–6, use Table B.Table A shows the number of days it took for some seeds to germinateafter planting. Table B shows how tall the plants were after 60 days.
Table A Table B
Practice: Word ProblemsMedian, Mode, and Range
NAME ________________________________________ DATE ______________ PERIOD _____
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1. Refer to Table A. You are doing someexperiments with germinating seeds.You are preparing a report on yourfindings to a seed company. What arethe mean, median, and mode of thedata?
2. Use your answer from Exercise 1.Which measure of central tendencybest describes the data? Explain.
3. What is the range of the seedgermination data? Describe how thedata vary.
4. What are the mean, median, and modeof the plant height data?
5. Refer to your answer in Exercise 4.Which measure of central tendencybest describes the data? Explain.
6. What is the range of the plant heightdata? Describe how the data vary.
Height (in.) of Plants After 60 Days
17 19 13 17 2015 17 21 14
Number of Days for Seeds to Germinate
15 20 30 15 169 21 21 15
© Glencoe/McGraw-Hill 94 Mathematics: Applications and Concepts, Course 1
Pre-Activity Complete the activity at the top of page 80 in your textbook. Writeyour answers below.
1. Find the mean wingspan.
2. List the data in order from least to greatest.
3. Which data are in the middle of the arranged data?
4. Compare the number that is in the middle of the data set to the mean ofthe data.
Reading the Lesson5. How are mean, median, and mode similar? How are they different?
Look at Example 3 at the bottom of page 81. Also, look at its openingstatement, "Some averages may describe a data set better than otheraverages."
6. Which averages are discussed in the example?
7. What is causing the mean to be so high?
8. What if there were two 54s? How would that affect the averages?
9. Does this example illustrate its opening statement?
Helping You Remember10. You may already know that a median strip refers to the concrete or
landscaped divider that runs down the center of many roads. How does this idea of median relate to the meaning of median in this lesson?
NAME ________________________________________ DATE ______________ PERIOD _____
Reading to Learn MathematicsMedian, Mode, and Range
© Glencoe/McGraw-Hill 95 Mathematics: Applications and Concepts, Course 1
Puzzling Over DataEach puzzle on this page contains an incomplete Clue: mean � 18set of data. The clues give you information about the mean, median, mode, or range of the data. Data: 12, 17, 18, 19, 19,Working from these clues, you can decide what the missing data items must be. For example, this is how you might solve the data puzzle at the right.
There are 6 items of data.The mean is 18, so the sum of the data must be 6 � 18 � 108.Add the given data: 12 � 17 � 18 � 19 � 19 � 85.Subtract from 108: 108 � 85 � 23.
So the complete set of data is: 12, 17, 18, 19, 19, 23 .
Find the missing data. (Assume that the data items are listed in orderfrom least to greatest.)
1. Clue: mode � 8 2. Clue: median � 54.5
Data: 7, 7, 8, , , 14 Data: 36, 40, 49, , 65, 84
3. Clues: mean � 27 4. Clues: median � 120mode � 30 range � 46
Data: 10, 25, 27, , 30, Data: 110, 112, , 124, 136,
5. Clues: mean � 13 6. Clues: mean � 7median � 13 median � 8.5range � 13 mode � 10
Data: , 9, 12, , 18, Data: , 4, 8, , ,
7. Clues: mean � 60 8. Clues: median � 24mode � 52 mode � 28range � 28 range � 24
Data: , 52, , , 72, 78 Data: 6, 15, , , ,
EnrichmentNAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–7
© Glencoe/McGraw-Hill 96 Mathematics: Applications and Concepts, Course 1
The graphs at the right show how the cost of amovie increased overtime. Which graphappears to show that the cost increased morequickly? Explain.
Both graphs show the same data, but Graph B appears to show the cost increasing more quickly. Graph A uses ascale of 2 and Graph B uses a scale of 1.
Refer to the table. The store says the average price of an electronic pet is $12. Explain how using this average to attract customers with low prices is misleading.
Order the data from least to greatest: 12, 12, 12, 14, 15, 15, 20, 20, 21, 49.mean: $19 median: $15 mode: $12
The store used the mode as the average. Because the mode price is less than the otherprices, it is not the most accurate average to use.
1. In Example 1, how could you change Graph A to appear to show that thecost rose more slowly?
2. Oleta’s test scores in order from least to greatest were 19, 75, 76, 82, 83.Find the mean, median, and mode of the data. Which measure might bemisleading in describing the average number of points Oleta earned.
Using an inappropriate measure of central tendency can cause readers to make a wrong conclusion.
199920
0020
0120
0220
03
321
456789
10
Pric
e ($
)
Year
0
Movie TicketsGraph B
199920
0020
0120
0220
03
642
8101214161820
Pric
e ($
)
Year
0
Movie TicketsGraph A
Graphs can lead readers to the wrong conclusion about the data when the numbers on either scaleare inconsistent, the vertical or horizontal scale does not start at zero, or different scales are used.
NAME ________________________________________ DATE ______________ PERIOD _____
Study Guide and InterventionAnalyzing Graphs
Electronic Pet Prices ($)
14 15 15 20 4921 12 12 20 12
Practice: SkillsAnalyzing Graphs
Less
on
2–8
© Glencoe/McGraw-Hill 97 Mathematics: Applications and Concepts, Course 1
ANIMALS For Exercises 1–3, use the graph that shows the weight of bears.
1. About how many times heavier does a grizzly bear appear to be than a black bear?
2. Explain how this graph is misleading.
3. Redraw the graph so that it is not so misleading.
4. BUSINESS The graphs below show company sales. Which graph makes the sales appear to be increasing more rapidly? Explain.
BUDGETS Use the table that shows the 2003 budgets for eight national parks.
5. Find the mean, median, and mode of the data.
6. Which measure would be misleading in describing the average budget for these parks?Explain.
7. Which measure describes the data most accurately? Explain.
1998
1999
2000
2001
2002
12
8
4
16
20
24
User
s (m
illio
ns)
Year
0
Company SalesGraph B
1998
1999
2000
2001
2002
6
4
2
8
10
12
User
s (m
illio
ns)
Year
0
Company SalesGraph A
GrizzlyBear
BlackBear
Weight of BearsGraph B
GrizzlyBear
BlackBear
500
600
700
400
0
300
Wei
ght (
lb)
Weight of BearsGraph A
NAME ________________________________________ DATE ______________ PERIOD _____
National Park 2003 Budget
Park Budget ($)
AcadiaCrater LakeDenaliEvergladesMammoth CaveOlympicGreat SmokiesZion
6,000,0004,000,000
11,000,00014,000,0006,000,000
10,000,00015,000,0006,000,000
© Glencoe/McGraw-Hill 98 Mathematics: Applications and Concepts, Course 1
BUSINESS For Exercises 1 and 2, use Graph A. For Exercises 3 and 4,use Graphs B and C. The graphs show the number of DVDs andvideos sold by a video store.
Graph A Graph B Graph C
Jan.Fe
b.Mar. Ap
r.May
June
6
4
2
8
10
12
Num
ber S
old
(thou
sand
s)
Month
0
Sales
Jan.Fe
b.Mar. Ap
r.May
June
3
2
1
4
5
6
Num
ber S
old
(thou
sand
s)
Month
0
Sales
VideosDVDs
300
350
400
250
0
200Num
ber S
old
March Sales
NAME ________________________________________ DATE ______________ PERIOD _____
Practice: Word ProblemsAnalyzing Graphs
1. About how many times fewer DVDsthan videos appear to have been sold?
2. Explain how Graph A is misleading.
3. The graphs show the same data. Whichgraph appears to shows that thenumber of DVDs and videos soldincreased more rapidly? Explain.
4. The store owner is trying to get a loanfrom the bank and wants to show thatbusiness is good. Which graph shouldthe store owner show the bank?Explain.
5. MARKETING A store advertises that ithas the lowest average price for T-shirts in town. Find the mean,median, and mode of the prices.
T-Shirt Prices:$14, $5, $10, $12, $5, $4, $13
6. MARKETING Use your answer fromExercise 5. Which measure of centraltendency describes the average T-shirtprice the most accurately? Explain.
© Glencoe/McGraw-Hill 99 Mathematics: Applications and Concepts, Course 1
Pre-Activity Complete the activity at the top of page 86 in your textbook. Writeyour answer below.
1. Suppose you look at the lengths of the bars that represent Dan Marino and Terry Bradshaw. You might conclude that Dan Marino threw three times as many touchdown passes as Terry Bradshaw. Why is this conclusion incorrect?
Reading the LessonFor Exercises 2–4, look at the first sentence below the activity at thetop of page 86: “Graphs let readers analyze and interpret data easily.”
2. Look in a dictionary for meaning of the word analyze. Write a definitionthat fits the sentence just quoted.
3. Do the same for the word interpret. Write a definition that fits thesentence just quoted.
4. Why is it important to analyze as well as interpret data in a graph?
5. Why is the graph in the activity at the top of page 86 misleading?
6. On a separate sheet of paper, redraw the graph in the activity at the topof page 86 to correct the problem. Do the lengths of the Marino andBradshaw bars represent more closely the relationship betweentouchdown passes actually thrown by these players?
Helping You Remember7. Look up the word mislead in a dictionary. Write the definition here. Then
tell how it is easy for a graph to mislead.
Reading to Learn MathematicsAnalyzing Graphs
NAME ________________________________________ DATE ______________ PERIOD _____
Less
on
2–8
© Glencoe/McGraw-Hill 100 Mathematics: Applications and Concepts, Course 1
Be a Data Detective!Each of the graphs on this page has been drawn incorrectly.Can you detect the mistake?
1. 2.
Mistake: Mistake:
3. 4.
Mistake: Mistake:
5. Draw a corrected graph for Exercise 3. 6. Draw a corrected graph for Exercise 4.
Retail Sales of AutomobilesAreas of the Great Lakes
1994
1996
1998
2000
2002
8,990
,000
8,526
,000
8,142
,000
8,846
,000
Retail Sales of Automobiles
Number of Automobiles
Year
0
20
40
60
80
100
Supe
rior
Michiga
n
Huron Er
ie
Ontari
o
Lake
Squa
re M
iles
(thou
sand
s)
Areas of the Great Lakes
0
50
100
150
200
250
300
1800 1900 1925 1950 1975 2000(projected)
Popu
latio
n(m
illio
ns)
Year
United States Population
Fiction
Biography
Reference
Other
Weekly Book Sales
NAME ________________________________________ DATE ______________ PERIOD _____
Enrichment
TELEVISION Refer to the frequency table.
1. What is the most common age of cartoon watchers?A. 1–5 B. 6–10C. 11–15 D. 16–20 1.
2. How many people 11 years or older watched cartoons?F. 18 G. 19 H. 11 I. 29 2.
ANIMALS Refer to the bar graph.
3. Which animal has the same average lifespan as a wolf?A. rabbit B. horseC. giraffe D. monkey 3.
4. Which animal lives twice as long as a giraffe?F. rabbit G. horseH. wolf I. monkey 4.
MONEY Refer to the line graph.
5. What was Logan's balance in March?A. $100 B. $150C. $200 D. $250 5.
6. What is the best prediction for Logan's May balance? F. $200 G. $250 6.H. $300 I. $350
FOOD Refer to the circle graph.
7. Which fruit is most popular?A. apple B. peachC. banana D. orange 7.
8. Which fruit is least popular?F. apple G. peach 8.H. banana I. orange
Refer to the stem-and-leaf plot.
9. What is the greatest number shown in the plot?A. 67 B. 53C. 35 D. 1,044 9.
2|6 � 26
Favorite Fruit
Peach9%
Banana25%
Apple36%
Orange30%
Jan.Fe
b.Mar. Ap
r.May
150
100
50
200
250
300To
tal (
$)350
Month
0
Logan's Savings
MonkeyWolfHorseRabbit
15
20
10
0
5
25
Life
span
(yea
rs)
AnimalGiraffe
Average Lifespan
© Glencoe/McGraw-Hill 101 Mathematics: Applications and Concepts, Course 1
Chapter 2 Test, Form 1NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
Cartoon WatchersAge Frequency1–5 106–10 8
11–15 416–20 7
Stem Leaf123
0 4 46 75
10. How many numbers shown are less than 20?F. 0 G. 5 H. 2 I. 3 10.
11. How many times is the number 14 shown in the plot?A. 0 B. 1 C. 2 D. 3 11.
BUTTERFLIES Refer to the table that shows Miko’s butterfly counts.
12. What is the mean of the butterfly counts?F. 10 G. 12H. 13 I. 20 12.
13. Which value is the outlier?A. 10 B. 13 C. 15 D. 52 13.
14. What is the mean without the outlier?F. 10 G. 12 H. 13 I. 20 14.
15. What is the median of the butterfly counts?A. 10 B. 12 C. 13 D. 20 15.
16. What is the mode of the butterfly counts?F. 10 G. 12 H. 13 I. 20 16.
17. What is the range of the butterfly counts?A. 10 to 60 B. 10 to 52 C. 42 D. 52 17.
ANIMALS Refer to the bar graph.
18. How many years is a horse expected to live?F. 10 G. 15H. 20 I. 30 18.
19. How many years is a monkey expected to live?A. 10 B. 15C. 18 D. 20 19.
20. Why is the graph misleading?F. The interval starts at 10, not 0. G. Not enough animals are shown. 20.H. The scale starts at 10, not 0. I. The interval is not consistent.
Bonus MONEY Sophie's savings usually increases each month. B:The only time it decreased was in March, when she withdrew some money for a new bike. On a separate sheet of paper, draw a line graph that could show her savings from January through May.
HorseMonkey
16
18
20
14
10
12
22
Age
(yea
rs)
Animal
Average Lifespan
© Glencoe/McGraw-Hill 102 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 2 Test, Form 1 (continued)
Day CountMon. 10Tues. 13Wed. 15Thurs. 52Fri. 10
Chapter 2 Test, Form 2A
© Glencoe/McGraw-Hill 103 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
SPORTS Refer to the frequency table.
1. What is the interval for the least commonnumber of hours of sports watched?A. 1–2 B. 3–4 1.C. 5–6 D. 7–8
2. How many people spent 3 or more hours watching sports events?F. 5 G. 6 H. 9 I. 14 2.
NAMES Refer to the bar graph.
3. What two names shown had about the same popularity?A. Lily and DaisyB. Daisy and HeatherC. Lily and HeatherD. Rose and Daisy 3.
4. How did the popularity of the name Lily compare with that of Rose?F. Rose was given about the same number of times as Lily.G. Rose was given about three times more often than Lily.H. Lily was given about twice as often as Rose.I. Lily was given about three times more often than Rose. 4.
MONEY Refer to the line graph.
5. In what month did the greatest increase in sales occur? A. January B. FebruaryC. March D. April 5.
6. What is the best prediction for June sales? F. $2,000 G. $2,250H. $2,500 I. $3,000 6.
FOOD Refer to the circle graph.
7. What is the main ingredient?A. banana B. pineappleC. yogurt D. ice 7.
8. Which two ingredients make up more than half of a Tropical Smoothie?F. ice and banana G. banana and yogurtH. banana and orange I. yogurt and ice 8.
Tropical Smoothie
Pineapple12%
Banana30%
Ice18%
Orange15%
Yogurt25%
Jan.Fe
b.Mar. Ap
r.May
June
1,500
1,000
500
2,000
2,500
3,000
Sale
s ($
)
Month
0
Monthly Sales
DaisyLilyRose
1,500
2,000
1,000
0
500
2,500
3,000
3,500
Num
ber
NameHeather
Female Names Given in 2001
Sports WatchersHours Frequency
1–2 63–4 95–6 47–8 1
Chapter 2 Test, Form 2A (continued)
© Glencoe/McGraw-Hill 104 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Use the stem-and-leaf plot.
9. What is the greatest number shown in the plot?A. 39 B. 38C. 79 D. 203,779 9.
2|3 � 2310. What is the least number shown in the plot?
F. 0 G. 1 H. 10 I. 107 10.
11. How many numbers shown are less than 30?A. 0 B. 2 C. 5 D. 7 11.
12. How many times is the number 27 shown in the plot?F. 0 G. 1 H. 2 I. 3 12.
SHOPPING For Exercises 13–19, refer to the table.
13. What is the mean cost of shoes at the store?A. $29 B. $30C. $32 D. $40 13.
14. What is the mean cost without the outlier?F. $29 G. $30 H. $32 I. $40 14.
15. Which value is the outlier?A. $8 B. $32 C. $40 D. $22 15.
16. What is the median of the data?F. $29 G. $30 H. $32 I. $40 16.
17. What is the mode of the data?A. $40 B. $31 C. $22 and $40 D. $22 17.
18. What is the range of the data?F. $8 G. $1 to $40 H. $8 to $40 I. $32 18.
19. Which measure of central tendency is the most misleading?A. none B. mode C. median D. mean 19.
20. Why is the bar graph at the right misleading?F. The interval starts at 50, not 0.G. Not enough foods are shown.H. The scale starts at 50, not 0.I. The interval is not consistent. 20.
Bonus If three numbers have a mode of 4 and a mean of 5, what are the three numbers? B:
Egg2%Milk
WholeMilk
125
150
100
50
75
175
Calo
ries
Foods
Stem Leaf123
0 70 3 7 7 91 8
Shoe Costs ($)3240
2840
4022
228
Chapter 2 Test, Form 2B
© Glencoe/McGraw-Hill 105 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
MUSIC Refer to the frequency table.
1. What is the most common age of music store customers?A. 5–8 B. 9–12C. 13–16 D. 17–20 1.
2. How many people 12 years or younger shopped at the music store?F. 2 G. 10 H. 8 I. 49 2.
NAMES Refer to the bar graph.
3. What two names shown had about the same popularity?A. Rose and IrisB. Rosemary and IrisC. Violet and RosemaryD. Rose and Rosemary 3.
4. How did the popularity of the name Iris compare with that of Violet?F. Violet was given about the same number of times as Iris.G. Violet was given about twice as often as Iris.H. Iris was given about twice as often as Violet.I. Iris was given about three times more often than Violet. 4.
MONEY Refer to the line graph.
5. In what month did the greatest decrease in sales occur? A. January B. MarchC. February D. April 5.
6. What is the best prediction for June sales?F. $500 G. $1,000H. $1,250 I. $1,500 6.
FOOD Refer to the circle graph.
7. What is the main ingredient?A. ice B. watermelonC. milk D. blackberry 7.
8. Which two ingredients make up more than half of a Summer Smoothie?F. watermelon and ice G. milk and watermelon 8.H. milk, ice, and blackberry I. blackberry and milk
Summer Smoothie
Orange12%
Watermelon30%
Ice18%
Blackberry15%
Milk25%
Jan.Fe
b.Mar. Ap
r.May
June
1,500
1,000
500
2,000
2,500
3,000
Sale
s ($
)
Month
0
Monthly Sales
VioletRoseRosemary
600
800
400
0
200
1,000
1,200
Num
ber
NameIris
Female Names Given in 2001
Music Store CustomersAge Frequency5–8 29–12 8
13–16 2817–20 21
Chapter 2 Test, Form 2B (continued)
© Glencoe/McGraw-Hill 106 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Use the stem-and-leaf plot.
9. What is the greatest number shown in the plot?A. 47 B. 48C. 67 D. 323,668 9.
3|2 � 3210. What is the least number shown in the plot?
F. 0 G. 2 H. 20 I. 209 10.
11. How many numbers shown are less than 40?A. 7 B. 5 C. 2 D. 0 11.
12. How many times is the number 36 shown in the plot?F. 0 G. 1 H. 2 I. 3 12.
SHOPPING For Exercises 13–19, refer to the table.
13. What is the mean cost of a dress at the store?A. $38 B. $40 C. $42 D. $50 13.
14. What is the mean cost without the outlier?F. $38 G. $40 H. $42 I. $50 14.
15. Which value is the outlier?A. $38 B. $10 C. $42 D. $50 15.
16. What is the median of the data?F. $38 G. $40 H. $42 I. $50 16.
17. What is the mode of the data?A. $32 B. $40 C. $32 and $50 D. $50 17.
18. What is the range of the data?F. $8 G. $40 H. $10 to $50 I. $52 18.
19. Which measure of central tendency is the most misleading?A. none B. median C. mode D. mean 19.
20. Why is the bar graph at the right misleading?F. The interval starts at 4, not 0.G. Not enough foods are shown.H. The scale starts at 4, not 0.I. The vertical scale is not consistent. 20.
Bonus If three numbers have a mode of 3 and a mean of 5, what are the three numbers? B:
10
12
8
4
6Fat (
gram
s)
Cheeses
CreamCheese
Swiss Mozzarella
Stem Leaf234
0 92 3 6 6 71 7
Dress Costs ($)4250
3850
5032
3210
VOTING Refer to the table that shows the number of votes cast for Mia (M), Ali (A), Ted (T), and Hattie (H) for best costume.
1. Make a frequency table for 1.the data.
2. Who won first place? 2.
3. Make a vertical bar graph of the data. 3.
4. How does the number of votes for Hattie compare to votes for Mia?
POLLS Refer to the circle graph that shows the result of an online poll. 4.
5. Which topping is most popular? 5.
6. Which two toppings are about 6.equally favored?
7. How does onion compare 7.with mushroom as a favorite pizza topping?
SHOPPING Refer to the table of book costs.
8. Identify the outlier. 8.
9. Find the mean cost of a book at the 9.store. How does the outlier affect the mean?
10. The store claims the average item costs $5. Which measure 10.of central tendency are they using to describe the data? Is their claim misleading? Explain.
Favorite Pizza ToppingOnion6%
ExtraCheese
31%
Pepperoni39%
Mushroom11%
Anchovies3%
Sausage10%
Best Costume
© Glencoe/McGraw-Hill 107 Mathematics: Applications and Concepts, Course 1
Chapter 2 Test, Form 2CNAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
Votes
M T A HT T H AA A H MA M H HA T A M
Book Costs ($)
5 5 949 11 5
SCHOOL Refer to the table of test scores.
11. Make a stem-and-leaf plot of the data. 11.
12. How many students scored 80 or more on the test? 12.
13. What is the range of the scores? 13.
14. What are the median and mode of the scores? 14.
MONEY Ella's savings account balance for January through July was $250, $80, $100, $120, $225, $250, and $275,respectively.
15. Draw a line graph of Ella's savings for the 7 months. 15.
16. Ella bought a stereo, and her savings decreased that month.In which month did she buy the stereo?
17. Predict Ella’s balance in August. Explain how you made your prediction.
CHORES Last 16.month, Simone did the dishes 17.16 times, and Dion did them 12 times.Refer to the graphs that they made for their mom.
18. Simone claims she does the dishes twice as often as her 18.brother. Which graph is Simone’s?
19. Dion claims he does the dishes nearly as often as his sister. 19.Which graph is Dion’s?
20. Explain how they made the graphs misleading. 20.
Bonus Write a set of nine numbers that has a mean and median B:of 5.
SimoneDion
12
13
14
11
9
10
15
16
Num
ber o
f Tim
es
Dishwasher
Graph B
SimoneDion
6
8
10
4
0
2
12
18
Num
ber o
f Tim
es
Dishwasher
Graph A
Ella's Savings
© Glencoe/McGraw-Hill 108 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 2 Test, Form 2C (continued)
Test Scores68 73 72 7981 79 91 8785 92 95 8766 87 96 90
Ass
essm
ent
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
© Glencoe/McGraw-Hill 109 Mathematics: Applications and Concepts, Course 1
Chapter 2 Test, Form 2D
VOTING Refer to the table that shows the number of votes cast for Miguel (M), Aki (A), Tansy (T), and Hannah (H) for best costume.
1. Make a frequency table for 1.the data.
2. Who won second place? 2.
3. Make a vertical bar graph of the data. 3.
4. How does the number of votes for Aki compare to votes for 4.Miguel?
POLLS Refer to the circle graph that shows the result of an online poll.
5. Which animal is most popular? 5.
6. Which two animals are about 6.equally favored?
7. How do cats compare with 7.monkeys as a favorite animal?
SHOPPING Refer to the table of book costs.
8. Identify the outlier. 8.
9. Find the mean cost of a book at the 9.store. How does the outlier affect the mean?
10. The store claims the average item costs $1. Which measure 10.of central tendency are they using to describe the data? Is their claim misleading? Explain.
Favorite Animal
Bird 7%Rabbit 6%
Cat17%
Horse16%
Cow 6%Monkey
9%
Dog39%
Best Costume
Votes
M H T A TH H A T HT T A A TT M A A H
Book Costs ($)
1 1 733 1 5
© Glencoe/McGraw-Hill 110 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 2 Test, Form 2D (continued)
SCHOOL Refer to the table of test scores.
11. Make a stem-and-leaf plot of the data. 11.
12. How many students scored 80 or more on the test? 12.
13. What is the range of the scores? 13.
14. What are the median and mode of the scores? 14.
MONEY Ebony's savings account balance for January 15.through July was $150, $260, $300, $160, $175, $200, and $225, respectively.
15. Draw a line graph of Ebony's savings for the 7 months.
16. Ebony bought a stereo, and her savings decreased that month. In which month did she buy the stereo?
17. Predict Ebony's balance in August. Explain how you made 16.your prediction.
VIDEOS Trent got 17.to choose the video8 times, and Kayla got to choose 12 times. Refer tothe graphs at the right that theymade for theirmom.
18. Kayla claims her brother chooses the 18.video nearly as often as she. Whichgraph is Kayla's? 19.
19. Trent claims his sister gets to choose three times more often than he does. Which graph is Trent’s?
20. Explain how they made the graphs misleading. 20.
Bonus Write a set of seven numbers that has a mean and B:median of 4.
TrentKayla
9
10
11
8
6
7
12
13
Num
ber o
f Tim
es
Who Chooses
Graph B
TrentKayla
6
8
16
4
0
2
Num
ber o
f Tim
es
Who Chooses
Graph A
Ebony's Savings
Test Scores69 95 92 8772 87 84 7882 80 68 7889 78 98 91
SPORTS Refer to the frequency table.
1. Twenty students went bowling. 1.How many students scored 100–109 points?
2. How many students scored more 2.than 109 points?
3. Did anyone score exactly 110 points? 3.
COMPUTERS Refer to the circle graph.
4. What total percent 4.of kids used a computer at home?
5. What percent of 5.kids used a computer only at school?
6. What total percent of kids did 6.not use a computer at home?
7. What total percent of kids used a computer? 7.
WEATHER Refer to the table.
8. Make a bar graph of the data. 8.
9. Find the mean of the data with and without the outlier. 9.
10. What are the mode and median of the data? 10.
11. Which measure of central tendency is most misleading? 11.
SCHOOL Refer to Luna’s test scores shown in the stem-and-leaf plot.
12. What is the range of her scores? 12.
13. Luna can pick which average the 13.teacher will use for her report card.Which one will Luna pick? Explain.
Computer Use by 10- to 13-year-olds
Does Not UseComputer 8%
School NotHome25%
School and Home60%
Home NotSchool
7%
© Glencoe/McGraw-Hill 111 Mathematics: Applications and Concepts, Course 1
Chapter 2 Test, Form 3NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
Annual PrecipitationAlaskan City InchesBettles 14Nome 15King Salmon 20Yakutat 151Bethel 15
Stem Leaf
789
7 8 82 70
8|2 � 82
Score Frequency
90–99 2
100–109 4
110–119 10
120–129 4
INVENTIONS Refer to the line graph.
14. Which year 14.had a decrease in the number of patents granted?
15. Which year 15.had the greatest increase?
16. Make a stem and leaf plot of the data in the table. 16.
17. The new cook, hired in 17.February, claims lunches served nearly doubled after he was hired.Why is his graph misleading?
18. Redraw the graph so it 18.is not misleading.
19. Write a set of data that has a range of 30, a mode of 68, and 19.a median of 80.
20. Which measure of central tendency best describes the data 20.1, 1, 1, 2, 7, 7, and 9? Explain.
Bonus CODE BREAKING The table shows B:the frequencies of the letters used in the original message. Decode the secret message XVKKVKKVOOV.
Sept
.Oct.
Nov.Dec
.Jan
.Fe
b.Mar. Ap
r.May
June
100
150
160
Aver
age
per D
ay
Month
0
Cafeteria Lunches
'89 '91 '93 '95 '97 '99 '01
100
120
140
160
180
200Pa
tent
s (th
ousa
nds)
Year
60
80
U.S. Patents Granted Per Year
© Glencoe/McGraw-Hill 112 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 2 Test, Form 3 (continued)
Letter Freq.
s 4
i 4
p 2
m 1
Average Number of Lunches Cafeteria Served per Day
Sept Oct Nov Dec Jan Feb Mar Apr May June
125 120 120 110 118 155 156 156 156 159
Demonstrate your knowledge by giving a clear, concise solution toeach problem. Be sure to include all relevant drawings and justifyyour answers. You may show your solution in more than one way orinvestigate beyond the requirements of the problem. If necessary,record your answer on another piece of paper.
1. Make a frequency table of the data in the table about student grades.
2. Use your frequencytable from Question 1.
a. Make a bar graph of the data. Be sure to label all the parts of thegraph.
b. Explain how you decided on the scale and interval.
c. Describe what your graph shows.
d. How does the number of students with a grade of A compare to thenumber of students with a grade of D? with a grade of F?
e. Redo your bar graph so that it is misleading and explain why it ismisleading.
3. Use the bicycle sales data in the table.
a. Make a line graph of the data in the table aboutbicycle sales. Be sure to label all the parts of thegraph.
b. Describe the scale and interval. Explain how youdecided on them.
c. Explain what your graph shows.
d. Describe the change in bicycle sales from 1998 to 2002.
e. Predict how many bicycles will be sold in 2003. Explain how youdecided on your prediction.
f. Redo your line graph so that it is misleading and explain why it ismisleading.
4. Use the test scores at the right.a. Make a stem-and-leaf plot of the data in the table of
test scores.b. Write a sentence that analyzes the data.c. Find the mean, median, mode, and range of the data.
Show your work.d. Identify any outliers and find the mean without the outliers. Describe
how the outlier affects the mean of the data.
© Glencoe/McGraw-Hill 113 Mathematics: Applications and Concepts, Course 1
Chapter 2 Extended Response Assessment
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
Bicycle Sales
Year Number (thousands)
19981999200020012002
105
101520
Scores on a Test94 72 82 82 86 6676 34 98 90 78 9268 82 76 76 78 8478 88 84 94 82 80
Students’ GradesA C C B C A C B FB D A C D C D C FC C B B A B C D
© Glencoe/McGraw-Hill 114 Mathematics: Applications and Concepts, Course 1
Chapter 2 Vocabulary Test/ReviewNAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Choose the correct term to complete each sentence.
1. The ________________ is the middle number, or the mean of 1.the middle two numbers, of the ordered data in a set.
2. Pieces of information that are usually numerical are called 2.________________.
3. A ________________ is a graph that is used to compare parts 3.of a whole.
4. The ________________ separates the scale into equal parts. 4.
5. Extremely high or low values in a data set are called 5.________________.
6. The ________________ is the number or numbers that occur 6.most frequently in a data set.
7. The interval separates the ________________ into equal parts. 7.
8. A ________________ is a graph used to show how data 8.changes over a period of time.
9. A ________________ displays data that is ordered from least 9.to greatest and is organized by place value.
10. Measure of central tendency is another term for 10.________________.
In your own words, define each term.
11. statistics
12. mean
average (p. 76)bar graph (p. 56)circle graph (p. 62)data (p. 50)frequency table (p. 50)graph (p. 56)horizontal axis (p. 56)interval (p. 50)
key (p. 72)leaves (p. 72)line graph (p. 56)mean (p. 76)measure of central
tendency (p. 76)median (p. 80)mode (p. 80)
outlier (p. 77)range (p. 82)scale (p. 50)statistics (p. 50)stem-and-leaf plot (p. 72)stems (p. 72)tally marks (p. 50)vertical axis (p. 56)
© Glencoe/McGraw-Hill 115 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
SCHOOL For Questions 1–3, refer to the data below.
1. Make a frequency table of the data. 1.
2. Make a vertical bar graph of 2.the data.
3. Compare the number of students who scored a B to the number who scored an A. 3.
4. What is the best interval for the data set 6, 10, 18, 3, 1, 5, 4.14, 25, 13, and 23: 1, 5, or 25? Explain your reasoning.
5. Refer to the line graph. Describe 5.the change in sales from April to June.
Jan.Fe
b.Mar. Ap
r.May
June
1,500
1,000
0
2,000
2,500
3,000
3,500
Sale
s ($
)
Month
Monthly Sales
Students' Math Scores
SURVEYS Refer to the circle graph that shows results from a World Almanac for Kids online poll.
1. Which subject is the most 1.popular?
2. Which two subjects combined 2.received half of the votes?
3. What percent of students 3.favored either art or science?
WEATHER Refer to the line graph.
4. Predict the temperature in 4.Denver and Austin for March.
5. How much warmer would you 5.expect it to be in Austin than in Denver during November?
Apr.
MayJu
ne July
Aug.
Sept
.Oct.
40
50
60
70
80
90
Tem
p (º
F )
Month
0
Average Monthly Temperature
Austin
Denver
Favorite Subject
Math28%
Art21%
Gym22%
Science12%
SocialStudies
12%
English5%
Chapter 2 Quiz(Lessons 2-1 and 2-2)
Chapter 2 Quiz(Lessons 2-3 and 2-4)
Math Scores
B B C C AA A B C BC B C B AB B D A B
© Glencoe/McGraw-Hill 116 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Chapter 2 Quiz(Lessons 2-7 and 2-8)
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
1. SCHOOL Make a stem-and-leaf plot for the following test 1.scores: 78, 93, 84, 66, 82, 83, 82, 73, 98, 76, 67, 83, 90, 91, 79,and 76.
SHOPPING Refer to the stem-and-leaf plot that shows the costs of bikes at one store.
2. What is the cost of the most expensive bike at the store? 2.
3. How many bikes are less 3.than $140 at the store?
BOOKS Refer to the table of book costs.
4. What is the mean book cost? 4.
5. What is the mean cost without the outlier? 5.
Chapter 2 Quiz(Lessons 2-5 and 2-6)
1. MULTIPLE-CHOICE TEST ITEM What are the mean, median, and 1.mode of the temperature data 62°, 60°, 70°, 78°, 60°, 66°,respectively?A. 65°, 62°, 60° B. 65°, 64°, 60°C. 66°, 64°, 60° D. 66°, 62°, 60°
2. REAL ESTATE A real estate company shows that their median 2.house listing is $150,000. Is it possible for them to have a house listed for $1 million? Explain.
3. REAL ESTATE The company shows that their median listing is 3.$150,000. If the range of their listings is $50,000, is it possible for them to have a house listed for $200,000? Explain.
4. Is the median, mode, or mean the most misleading average 4.of 4, 92, 96, and 96? Explain.
5. WEATHER Why is the graph misleading? 5.The bar height for Phoenix should not be more than three times the bar height for Portland.
Phoenix,AZ
Portland,OR
100
110
90
70
80Tem
p. (º
F )
Average HighTemperature in July
Stem Leaf121314
0 2 5 55 95 5 9
13|5 � $135
Book Costs ($)
10 13 79 11 34
Write the letter for the correct answer in the blank at the right of each question.
1. Choose the scale that is most appropriate for the data set 2, 18, 9, 7, 13, 22,4, and 11.A. 0 to 50 B. 0 to 30 C. 0 to 20 D. 0 to 10 1.
2. Choose the interval that is best for the data set 212, 180, 90, 17, 413, 522, 64,344, 150, and 110.F. 1 G. 10 H. 100 I. 500 2.
FOOD Refer to the circle graph.
3. What sandwich is the most popular?A. tuna B. peanut butterC. bologna D. cheese 3.
4. Which two sandwiches are equal in popularity?F. tuna and bologna G. cheese and tunaH. cheese and bologna I. tuna and peanut butter 4.
COLLEGE Refer to the table.
5. Make a line graph 5.of the data.
6. Describe the pattern or trend in the college costs from 1970 6.to 2000.
POPULATION Refer to the bar graph at the right.
7. What two states have about 7.the same wild horse population?
8. How does Wyoming's wild 8.horse population compare with California's?
Orego
n
Wyo
ming
Califo
rnia
3,000
4,000
2,000
0
1,000
5,000
6,000
7,000
8,000
Hors
es
State
Utah
Wild Horse Population
Tuitions and Fees at 4-year U.S. Colleges and Institutions
Favorite Sandwich
Bologna21%
GrilledCheese
21%
Tuna25% Peanut
Butter33%
© Glencoe/McGraw-Hill 117 Mathematics: Applications and Concepts, Course 1
Chapter 2 Mid-Chapter Test(Lessons 2-1 through 2-4)
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
Tuition and Fees at 4-year U.S. Colleges and Institutions
Year Amount ($)1970198019902000
427840
2,1593,349
1. Is 55 prime, composite, or neither? (Lesson 1-3) 1.
2. Write 5 � 5 � 5 using an exponent. Then find the value of the 2.power. (Lesson 1-4)
Find the value of each expression. (Lesson 1-5) 3.
3. 15 � (6 � 3) � 4 4. 32 � 4 � 4 � 3 4.
MOVIES Use the frequency table that shows the ages of children at a movie.
5. How many children at the movie 5.were 10 years or older? (Lesson 2-2)
6. Make a bar graph for the data. 6.(Lesson 2-2)
7. Name one way to make your bar graph misleading. 7.(Lesson 2-8)
SCHOOL Use Lin’s first six test scores of 58, 58, 63, 69, 74,and 80.
8. Make a line graph for the data. (Lesson 2-2) 8.
9. What is a good prediction for Lin’s seventh test score? 9.(Lesson 2-4)
10. Find the mean test score. (Lesson 2-6) 10.
11. Find the mode, median, and range of the test scores. 11.(Lesson 2-7)
12. Which measure of central tendency is most misleading for 12.the test scores? Why? (Lesson 2-8)
Lin's Test Scores
Children at the Movie
© Glencoe/McGraw-Hill 118 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Chapter 2 Cumulative Review(Chapters 1–2)
Age Frequency8–9
10–1112–13
5106
1. Evaluate 3 � 1 � 7 � 9. (Lesson 1-5)
A. 192 B. 216 C. 90 D. 66 1.
2. Evaluate 2r if r � 37. (Lesson 1-6)
F. 64 G. 74 H. 39 I. 35 2.
3. What is the area of a rectangle that is 12 inches wide and 13 inches long? (Lesson 1-8)
A. 157 in2 B. 25 in2 C. 156 in2 D. 50 in2 3.
4. Use the frequency table. If twenty-five students took the test, how many scored 61–70 points? (Lesson 2-1)
F. 0 G. 4H. 2 I. 1 4.
5. What are the stems in a stem-and-leaf plot for the data 5, 10, 14, 26, and 34?(Lesson 2-5)
A. 0, 4, 5, 5, 6 B. 0, 1, 2, 3 C. 1, 2, 3 D. 0, 4, 5, 6 5.
6. Sasha is buying a new stereo. The range in prices for the stereos she likes is $170. If the most expensive one she likes is $310, how much is the least expensive? (Lesson 2-7)
F. $160 G. $140 H. $480 I. $240 6.
7. What is the missing value in the circle graph corresponding to the percent of people who favor plums? (Lesson 2-3)
A. 10% B. 20%C. 22% D. 12% 7.
8. Which data set has a mode of 4?(Lesson 2-7)
F. {1, 2, 3, 4} G. {3, 4, 6}H. {4, 4, 5, 5, 5} I. {4, 4, 5} 8.
9. At a small video store, a clerk counts the number of tapes rented each hour. The first seven hours the store rents 6, 3, 7, 6, 8, 51, and 10 tapes. Which measure of central tendency is most misleading for the data? (Lesson 2-8)
A. mode B. median C. mean D. scale 9. DCBA
IHGF
DCBA
Favorite Fruit
orange38%
plum
banana20%
apple30%
IHGF
DCBA
IHGF
DCBA
IHGF
DCBA
© Glencoe/McGraw-Hill 119 Mathematics: Applications and Concepts, Course 1
Standardized Test Practice(Chapters 1–2)
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Ass
essm
ent
Part 1: Multiple Choice
Instructions: Fill in the appropriate oval for the best answer.
Score Frequency
61–70 ?
71–80 4
81–90 12
91–100 8
10. Tim practiced playing the oboe for 10.9 minutes on Monday, 13 minutes on Tuesday, and 17 minutes on Wednesday. If he continues to practice in the same pattern, how many minutes will he practice on Thursday?(Lesson 1-1)
11. Write 83 as a product. Then find the 11.value of the power. (Lesson 1-4)
12. The bar graph shows how 12. 13.much each grade raised in the recycling drive.Which grade raised abouttwice as much money as the7th graders?(Lesson 2-2)
13. A store stocks four brands of jeans that cost $18, $20,$24, and $34. What is themean cost of jeans at thestore? (Lesson 2-6)
14. The line graph at the right shows the height of Jack’s tree at the end of each month.
a. How tall was tree at the end of the third month?(Lesson 2-2)
b. When was the tree about 18 centimeters tall?(Lesson 2-2)
c. One month, Jack trimmed his tree back slightly.Which month was this? (Lesson 2-2)
d. Predict when the tree will reach a height of 26 centimeters. Explain how you made your prediction. (Lesson 2-4)
15
10
5
20
25
30
Heig
ht (c
m)
Month
0
Tree Growth
1 2 3 4 5 6 7 8
Part 3: Extended Response
Instructions: Write your answers below or to the right of the questions.
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
8th7th6th
150
200
100
0
50
250
300
350
400
Dolla
rs
Recycling Drive
Grade
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
Part 2: Short Response/Grid In
Instructions: Enter your grid in answers by writing each digit of the answer in acolumn box and then shading in the appropriate circle that corresponds to that entry.Write answers to short answer questions in the space provided.
© Glencoe/McGraw-Hill 120 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Standardized Test Practice (continued)
Ass
essm
ent
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
1. SWIMMING Charmaine swam 2 laps on Monday, 3 laps on 1.Tuesday, 5 laps on Wednesday, and 8 laps on Thursday. If the pattern continues, how many laps will she swim on Friday?
2. Which of these numbers is 796 divisible by? 2, 3, 4, 5, 6, 9, 10 2.Now classify 796 as even or odd.
Tell whether each number is prime, composite, or neither. 3.
3. 19 4. 28 4.
Find the prime factorization of each number. 5.
5. 63 6. 36 6.
Write each product using an exponent. Then find the value of the power. 7.
7. 6 � 6 8. 1 � 1 � 1 � 1 � 1 8.
Find the value of each expression. 9.
9. 8 � 6 � 2 10. 10 � 2 � (42 � 6) 10.
Evaluate each expression if a � 7 and b � 2. 11.
11. b � 3 12. a2 � 4b 12.
For Questions 13 and 14, solve each equation mentally. 13.
13. m � 3 � 19 14. 11 � 25 � h 14.
15. AREA A textbook cover measures 18 centimeters by 15.24 centimeters. What is the area of the cover of the textbook?
SCHOOL Refer to the table.
16. Make a frequency table for the data. 16.
17. Which score is most common? 17.
18. Make a vertical bar graph of the data. 18.Math Scores
© Glencoe/McGraw-Hill 121 Mathematics: Applications and Concepts, Course 1
Unit 1 Test(Chapters 1–2)
Math Scores
A B A BC B B AB A A AB C B BC A B B
19. Compare the number of students that scored a B to the 19.number that scored a C.
20. Name one way to make your bar graph misleading. 20.
MONEY Eva’s savings account balance was $200, $120, $135,$160, and $180 for April through August, respectively.
21. Draw a line graph of Eva’s savings for the 5 months. 21.
22. In which month did Eva’s savings decrease as compared to 22.the savings in the month before?
23. Predict Eva’s balance in October. 23.
POLLS Refer to the circle graph.
24. How do most students get to 24.school?
25. Compare the number of 25.students that ride the bus to the number that ride with a parent.
READING Refer to the table.
26. What is the mean of the 26.data?
27. Which value is the outlier? 27.
28. What is the mean without the outlier? 28.
29. What is the median number of books read? 29.
30. What is the mode of the data? 30.
31. What is the range of the data? 31.
32. Does the mean, mode, or median best describe the average 32.number of books read? Explain.
How Do You Get to School?
Other6%
Ride withParent51%
Walk15%
Bike3%
Ride theBus25%
Ella's Savings
© Glencoe/McGraw-Hill 122 Mathematics: Applications and Concepts, Course 1
NAME ________________________________________ DATE ______________ PERIOD _____
Unit 1 Test (continued)
(Chapters 1–2)
Books Read in a Month
4 25 2 63 2 7
An
swer
s
© Glencoe/McGraw-Hill A1 Mathematics: Applications and Concepts, Course 1
Standardized Test PracticeStudent Recording Sheet (Use with pages 94–95 of the Student Edition.)
NAME ________________________________________ DATE ______________ PERIOD _____
SCORE _____
Part 1:
Solve the problem and write your answer in the blank.
For grid in questions, also enter your answer by writing each number or symbolin a box. Then fill in the corresponding circle for that number or symbol.
7. 12.
8.
9.
10.
11.
12. (grid in)
13.
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
Select the best answer from the choices given and fill in the corresponding oval.
Multiple Choice
1.
2.
3.
4.
5.
6. IHGF
DCBA
IHGF
DCBA
IHGF
DCBA
Part 2: Short Response/Grid in
Record your answers for Questions 14 and 15 on the back of this paper.
Part 3: Extended Response
© Glencoe/McGraw-Hill A2 Mathematics: Applications and Concepts, Course 1
General Scoring Guidelines• If a student gives only a correct numerical answer to a problem but does not show how he or she
arrived at the answer, the student will be awarded only 1 credit. All extended response questionsrequire the student to show work.
• A fully correct answer for a multiple-part question requires correct responses for all parts of thequestion. For example, if a question has three parts, the correct response to one or two parts of thequestion that required work to be shown is not considered a fully correct response.
• Students who use trial and error to solve a problem must show their method. Merely showing thatthe answer checks or is correct is not considered a complete response for full credit.
Exercise 14 Rubric
Standardized Test PracticeRubrics (Use to score the Extended Response questions on page 95 of the Student Edition.)
Score Specific Criteria4 A prediction of about 11.3 s is given. An explanation of how the prediction was made
is accurate and complete.
3 The prediction is correct. However, the explanation is correct but not complete.
2 The explanation is correct, but the prediction is not as accurate as possible.
1 The prediction is correct, but the explanation is incorrect or not given.
0 Response is completely incorrect.
Score Specific Criteria4 An explanation of how the heights are misrepresented is accurate and complete. An
explanation of how to change the graph to make it less misleading is accurate andcomplete.
3 Both explanations are correct, but one explanation is not complete.
2 Both explanations are correct, but neither is complete.
1 Only one explanation is correct.
0 Response is completely incorrect.
Exercise 15 Rubric
© Glencoe/McGraw-Hill A3 Mathematics: Applications and Concepts, Course 1
©G
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©G
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mon
?3
h
3.H
ow m
any
ban
d m
embe
rs p
ract
iced
mor
e th
an 4
hou
rs
a w
eek?
2
Sta
tist
ics
invo
lves
col
lect
ing,
org
aniz
ing,
ana
lyzi
ng, a
nd p
rese
ntin
g da
ta.D
ata
are
piec
es o
fin
form
atio
n an
d ar
e us
ually
num
bers
.You
can
org
aniz
e da
ta b
y m
akin
g a
freq
uenc
y ta
ble.
A
freq
uen
cy t
able
show
s th
e nu
mbe
r of
tim
es e
ach
piec
e of
dat
a ap
pear
s.
The
par
ts o
f a
freq
uenc
y ta
ble:
Sca
le:
lets
you
rec
ord
all o
f th
e da
ta;i
nclu
des
the
leas
t an
d th
e gr
eate
st n
umbe
r
Inte
rval
:se
para
tes
the
scal
e in
to e
qual
par
ts
Tally
mar
ks:
lets
you
rec
ord
a m
ark
each
tim
e a
piec
e of
dat
a ap
pear
s
Freq
uenc
y:gi
ves
the
sum
of
the
tally
mar
ks fo
r ea
ch c
ateg
ory
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Fre
qu
ency
Tab
les
My
Qu
iz S
core
s
98
95
59
62
98
94
My
Qu
iz S
core
s
Sco
reT
ally
Fre
qu
ency
1–2
11
3–4
11
5–6
33
7–8
22
9–10
55
Ho
urs
Sp
ent
Pra
ctic
ing
Ho
urs
Tally
Fre
qu
ency
14
42
55
351
64
33
52
2
Hou
rs S
pen
tP
ract
icin
g
34
35
23
43
32
15
212
41
32
1
Answers (Lesson 2-1)
An
swer
s
© Glencoe/McGraw-Hill A4 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill64
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Pre-
Act
ivit
yC
om
ple
te t
he
acti
vity
at
the
top
of
pag
e 50
in y
ou
r te
xtb
oo
k.W
rite
you
r an
swer
s b
elo
w.
1.W
hat
is
the
hei
ght
of t
he
tall
est
tree
?13
5 ft
2.H
ow m
any
tree
s ar
e be
twee
n 4
1 an
d 80
fee
t ta
ll?
13
3.T
ell
how
you
mig
ht
orga
niz
e th
e h
eigh
ts o
f th
e tr
ees
so t
hat
th
ein
form
atio
n i
s ea
sier
to
fin
d an
d re
ad.
Sam
ple
an
swer
:A
rran
ge
the
hei
gh
ts f
rom
leas
t to
gre
ates
t.
Rea
din
g t
he
Less
on
Ref
er t
o th
e fr
equ
ency
tab
le i
n t
he
mid
dle
of
pag
e 50
.
4.W
hat
doe
s th
e n
um
ber
13 i
n t
he
Fre
quen
cyco
lum
n i
ndi
cate
?th
e n
um
ber
of
tim
esa
nu
mb
er b
etw
een
51
and
80
occ
urs
in t
he
dat
a se
t
5.D
oes
the
nu
mbe
r in
th
e F
requ
ency
colu
mn
tel
l yo
u a
nyt
hin
g ab
out
the
freq
uen
cy o
f in
divi
dual
nu
mbe
rs w
ith
in t
he
data
set
? H
ow d
o yo
u k
now
?N
o;
loo
kin
g t
hro
ug
h t
he
dat
a se
t,yo
u c
an s
ee t
hat
so
me
nu
mb
ers
app
ear
mo
re t
han
on
ce (
for
exam
ple
,th
e n
um
ber
72)
.6.
How
is
freq
uen
cy r
elat
ed t
o in
terv
al?
Th
e fr
equ
ency
tel
ls t
he
nu
mb
er o
f ti
mes
a n
um
ber
wit
hin
an
inte
rval
occ
urs
in a
dat
a se
t.
7.W
hy
do t
he
nu
mbe
rs i
n t
he
Hei
ght
colu
mn
beg
in a
t 51
an
d en
d at
140
?b
ecau
se a
llth
e d
ata
mu
st b
e in
clu
ded
an
d b
ecau
se t
he
gro
up
ing
s o
f d
ata
(th
ein
terv
als)
mu
st b
e eq
ual
(in
th
is c
ase,
30 n
um
ber
s in
eac
h g
rou
p)
8.H
ow d
oes
an i
nte
rval
mak
e it
eas
ier
to r
ead
the
tabl
e?S
amp
le a
nsw
er:
An
inte
rval
gro
up
s th
e d
ata
in t
he
dat
a se
t in
to s
ub
sets
,so
th
at y
ou
can
anal
yze
the
dat
a q
uic
kly.
Hel
pin
g Y
ou
Rem
emb
er9.
Wri
te t
he
thre
e st
eps
use
d to
mak
e a
freq
uen
cy t
able
.Th
en,u
sin
g an
yda
ta s
et y
ou w
ant,
mak
e a
freq
uen
cy t
able
for
th
ose
nu
mbe
rs.
1) C
ho
ose
an
ap
pro
pri
ate
scal
e an
d in
terv
al f
or
the
dat
a.2)
Dra
w a
tab
le w
ith
th
ree
colu
mn
s an
d la
bel
th
e co
lum
ns.
3) In
th
e fi
rst
colu
mn
,lis
t th
e in
terv
als.
In t
he
seco
nd
colu
mn
,tal
ly t
he
dat
a.In
th
e th
ird
co
lum
n,a
dd
th
e ta
llies
;F
or
the
sam
ple
fre
qu
ency
tab
le,s
ee s
tud
ents
’wo
rk.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Read
ing
to L
earn
Mat
hem
atic
sF
req
uen
cy T
able
s
©G
lenc
oe/M
cGra
w-H
ill63
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
AN
IMA
LSF
or E
xerc
ises
1–3
,use
Tab
le A
.For
Exe
rcis
es 4
–6,u
se T
able
B.
Tab
le A
Tab
le B
B �
beet
leE
�ea
rwig
S �
sow
bu
g
Prac
tice:
Wor
d Pr
oble
ms
Fre
qu
ency
Tab
les
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–1
Inse
cts
Un
der
a R
ock
ES
BE
EB
SE
EB
SE
SS
BE
ES
BE
EE
BE
SE
BS
EE
BS
EE
SE
Wei
ghts
(lb
) of
Dog
s at
th
e V
et C
lin
ic
Wei
ght
Tal
lyF
req
uen
cy
1–10
554
14
11–2
05554
19
21–3
055555
25
31–4
055
10
41–5
05
5
1.M
aria
is
cou
nti
ng
thre
e ty
pes
of i
nse
cts
she
fin
ds u
nde
r ro
cks
in t
he
park
for
an
ecol
ogy
surv
ey.M
ake
a fr
equ
ency
tab
lesh
owin
g h
er d
ata
from
Tab
le A
.S
amp
le a
nsw
er:
2.H
ow m
any
mor
e ea
rwig
s di
d M
aria
fin
d th
an b
eetl
es?
10 e
arw
igs
3.W
hen
Mar
ia w
rite
s h
er r
epor
t,sh
e w
ill
list
th
e in
sect
s in
ord
er o
f m
ost
com
mon
to
leas
t co
mm
on.W
hat
ord
ersh
ould
sh
e w
rite
in
her
rep
ort?
earw
ig,s
ow
bu
g,b
eetl
e
4.T
he
stre
ngt
h o
f m
edic
ine
give
n t
o a
dog
depe
nds
on
th
e do
g’s
wei
ght.
Th
ere
is a
diff
eren
t st
ren
gth
for
eac
h w
eigh
tgr
oup.
For
wh
ich
wei
ght
grou
p sh
ould
ave
teri
nar
ian
ord
er t
he
mos
t m
edic
ine?
the
leas
t m
edic
ine?
21–3
0 lb
;41
–50
lb
5.D
escr
ibe
the
scal
e an
d th
e in
terv
al i
nT
able
B.
Th
e sc
ale
is 1
to
50,
and
the
inte
rval
is 1
0.
6.H
ow m
any
mor
e do
gs a
re i
n t
he
mos
tfr
equ
ent
grou
p th
an i
n t
he
seco
nd
mos
tfr
equ
ent
grou
p?6
do
gs
Inse
cts
Un
der
a R
ock
Inse
ctTa
llyF
req
uen
cyB
eetl
e53
8E
arw
ig5553
18S
ow
bu
g55
10
Answers (Lesson 2-1)
© Glencoe/McGraw-Hill A5 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill66
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Mak
e a
bar
gra
ph
of
the
dat
a.C
omp
are
the
nu
mb
er o
f st
ud
ents
in
jaz
z cl
ass
wit
h t
he
nu
mb
er i
n b
alle
t cl
ass.
Ste
p 1
Dec
ide
on t
he
scal
e an
d in
terv
al.
Ste
p 2
Lab
el t
he
hor
izon
tal
and
vert
ical
axe
s.S
tep
3D
raw
bar
s fo
r ea
ch s
tyle
.S
tep
4L
abel
th
e gr
aph
wit
h a
titl
e.A
bou
t tw
ice
as m
any
stu
den
tsta
ke b
alle
t as
tak
e ja
zz.
Mak
e a
lin
e gr
aph
of
the
dat
a.T
hen
d
escr
ibe
the
chan
ge i
n G
wen
’s a
llow
ance
fr
om 1
998
to 2
002.
Ste
p 1
Dec
ide
on t
he
scal
e an
d in
terv
al.
Ste
p 2
Lab
el t
he
hor
izon
tal
and
vert
ical
axe
s.S
tep
3D
raw
an
d co
nn
ect
the
poin
ts f
or e
ach
yea
r.S
tep
4L
abel
th
e gr
aph
wit
h a
tit
le.
Gw
en’s
all
owan
ce d
id n
ot c
han
ge f
rom
199
8 to
199
9 an
d th
en i
ncr
ease
d fr
om 1
999
to 2
002.
Mak
e th
e gr
aph
lis
ted
for
eac
h s
et o
f d
ata.
1.ba
r gr
aph
See
stu
den
ts’w
ork
.2.
lin
e gr
aph
See
stu
den
ts’w
ork
.
1997 1998 1999 2000
2001 2002
101214161820222426
Amount ($)
Year
0
Gwen
's A
llow
ance
Jazz
Tap
Bal
let
68 4 021012 Students
Styl
eM
oder
n
Dan
ce C
lass
Att
enda
nce
A g
rap
his
a v
isua
l way
to
disp
lay
data
.A b
ar g
rap
his
use
d to
com
pare
dat
a.A
lin
e g
rap
his
use
d to
sho
w h
ow d
ata
chan
ges
over
a p
erio
d of
tim
e.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Bar
Gra
ph
s an
d L
ine
Gra
ph
s
Dan
ce C
lass
es
Sty
leS
tud
ents
Bal
let
Tap
Jazz
Mod
ern
11 4 5 10
Gw
en’s
All
owan
ce
Yea
r19
9719
9819
9920
0020
0120
02
Am
oun
t ($
)10
1515
1820
25
Get
tin
g R
ead
y fo
r S
choo
l
Day
Tim
e (m
in)
Mon
day
Tu
esda
yW
edn
esda
yT
hu
rsda
yF
rida
y
34 30 37 20 25
Rid
ing
the
Bu
s
Stu
den
tT
ime
(min
)
Pau
lin
aO
mar
Ula
riJa
cob
Am
ita
10 40 20 15 35
©G
lenc
oe/M
cGra
w-H
ill65
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
His
tog
ram
sO
ften
a g
raph
is
use
d to
pic
ture
th
e da
ta i
n a
fr
equ
ency
tab
le.W
hen
fre
quen
cies
are
pic
ture
d in
a b
ar g
raph
,th
e gr
aph
is
call
ed a
his
togr
am.
For
exa
mpl
e,at
th
e ri
ght
is a
his
togr
am t
hat
pict
ure
s th
e fr
equ
enci
es o
f th
e sc
ores
on
a m
ath
test
.Eac
h b
ar i
n a
his
togr
am s
how
s th
e n
um
ber
of p
iece
s of
dat
a in
a c
erta
in i
nte
rval
.
Use
th
e h
isto
gram
at
the
righ
t to
an
swer
ea
ch q
ues
tion
.
1.H
ow m
any
scor
es a
re i
n t
he
inte
rval
81–
90?
5
2.In
wh
ich
in
terv
al(s
) ar
e th
ere
exac
tly
thre
esc
ores
?41
–50
and
91–
100
3.H
ow m
any
scor
es a
re 7
0 or
les
s?9
4.S
upp
ose
that
,to
pass
th
is t
est,
a st
ude
nt
nee
ded
a sc
ore
of 6
1 or
hig
her
.How
man
y st
ude
nts
pas
sed
the
test
?20
5.C
an y
ou t
ell
in w
hic
h i
nte
rval
th
ere
is t
he
grea
test
nu
mbe
r of
sc
ores
? E
xpla
in.
Yes;
the
bar
fo
r th
e in
terv
al 7
1–80
isth
e h
igh
est.
6.C
an y
ou t
ell
wh
at w
as t
he
hig
hes
t sc
ore
on t
he
test
? E
xpla
in.
No
;yo
u o
nly
kn
ow
it w
asso
mew
her
e b
etw
een
91
and
100
.
7.U
se t
he
his
togr
am a
t th
e ri
ght.
In t
he
spac
e be
low
,wri
te t
wo
ques
tion
s ab
out
the
data
in
th
e h
isto
gram
.Th
en a
nsw
er e
ach
qu
esti
on.
See
stu
den
ts’w
ork
.
Puls
e Ra
tes
of S
tude
nts
in a
Bio
logy
Cla
ss
0123456789
66–7
0
71–7
5
76–8
0
86–9
0
81–8
5
91–9
5
Frequency
Beat
s pe
r Min
ute
10
Scor
es o
n a
Mat
h Te
st
012345678910
41–5
051
–60
61–7
0
71–8
081
–90
91–1
00
Frequency
Scor
e
Enric
hmen
tN
AM
E__
____
____
____
____
____
____
____
____
____
__D
ATE
___
____
____
___
PE
RIO
D
____
_
Lesson 2–1
Answers (Lessons 2-1 and 2-2)
An
swer
s
© Glencoe/McGraw-Hill A6 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill68
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
TREE
SF
or E
xerc
ises
1,3
,an
d 4
,use
Tab
le A
.For
Exe
rcis
es 2
,5,a
nd
6,u
se T
able
B.
Tab
le A
Tab
le B
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Wor
d Pr
oble
ms
Bar
Gra
ph
s an
d L
ine
Gra
ph
s
Ave
rage
Hei
ghts
of
Pin
e T
rees
Tre
eH
eigh
t (f
t)
Eas
tern
Wh
ite
Lod
gepo
leL
ongl
eaf
Pit
chP
onde
rosa
75 48 110 55 140
Lem
ons
Pro
du
ced
by
My
Tre
e
Yea
rN
um
ber
of
Lem
ons
1999
2000
2001
2002
2003
26 124
122 78 55
1.Yo
u a
nd
Jorg
e ar
e w
riti
ng
a re
port
on
diff
eren
t ki
nds
of
pin
e tr
ees.
Mak
e a
bar
grap
h f
or t
he
repo
rt t
hat
sh
ows
the
aver
age
hei
ghts
of
diff
eren
t ki
nds
of
pin
e tr
ees.
Use
th
e da
ta f
rom
Tab
le A
.S
amp
le
answ
er:
Pond
eros
a
Long
leaf
Lodg
epole
Easte
rn W
hite
100 5075125
150 025
Height (ft)
Tree
Pitch
Aver
age
Hei
ghts
of P
ine
Tree
s
2.T
able
B s
how
s th
e n
um
ber
of l
emon
syo
ur
tree
pro
duce
d ea
ch y
ear.
Mak
e a
lin
e gr
aph
for
th
e da
ta i
n T
able
B.
Sam
ple
an
swer
:
1999
2000
2001
2002
2003
2004
75 50 25100
125
Number of Lemons
Year
0
Lem
ons
Prod
uced
by M
y Tr
ee
3.U
se y
our
grap
h f
or E
xerc
ise
1.W
hic
htr
ee i
s ab
out
hal
f as
tal
l as
apo
nde
rosa
?E
aste
rn W
hit
e P
ine
4.H
ow d
oes
the
aver
age
hei
ght
of a
pit
chpi
ne
com
pare
to
the
aver
age
hei
ght
of a
lodg
epol
e pi
ne?
A P
itch
Pin
e is
slig
htl
y ta
ller
than
a L
od
gep
ole
Pin
e.
5.U
se t
he
lin
e gr
aph
you
mad
e in
Exe
rcis
e 2.
Des
crib
e th
e ch
ange
in
fru
itpr
odu
ctio
n f
or y
our
lem
on t
ree.
Sam
ple
an
swer
:Th
e n
um
ber
of
fru
it in
crea
sed
sh
arp
ly in
200
0,st
ayed
ab
ou
t th
e sa
me
in 2
001,
shar
ply
dec
reas
ed in
200
2,an
dd
ecre
ased
a li
ttle
in 2
003.
6.FR
UIT
Su
ppos
e yo
u w
ant
to m
ake
agr
aph
of
the
tota
l n
um
ber
of l
emon
spr
odu
ced
by y
our
lem
on t
ree
and
the
tota
l n
um
ber
of o
ran
ges
prod
uce
d by
you
r or
ange
tre
e in
on
e ye
ar.W
ould
you
mak
e a
bar
grap
h o
r a
lin
e gr
aph
?E
xpla
in.
Sam
ple
an
swer
:B
arg
rap
h;
bec
ause
yo
u w
ou
ld b
eco
mp
arin
g t
wo
dif
fere
nt
fru
its.
A li
ne
gra
ph
is u
sed
to
sh
ow
chan
ges
ove
r ti
me.
©G
lenc
oe/M
cGra
w-H
ill67
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Mak
e a
bar
gra
ph
for
eac
h s
et o
f d
ata.
1.2.
See
stu
den
ts’w
ork
.S
ee s
tud
ents
’wo
rk.
Use
th
e b
ar g
rap
h m
ade
in E
xerc
ise
1.
3.W
hic
h c
oun
try
mad
e th
e gr
eate
st n
um
ber
of c
ars?
Jap
an
4.H
ow d
oes
the
nu
mbe
r of
car
s m
ade
in J
apan
com
pare
to
the
nu
mbe
rm
ade
in S
pain
?F
ou
r ti
mes
as
man
y ca
rs w
ere
mad
e in
Jap
anas
in S
pai
n.
For
Exe
rcis
es 5
an
d 6
,mak
e a
lin
e gr
aph
for
eac
h s
et o
f d
ata.
5.6.
See
stu
den
ts’w
ork
.S
ee s
tud
ents
’wo
rk.
7.PO
PULA
TIO
NR
efer
to
the
grap
h m
ade
in E
xerc
ise
5.D
escr
ibe
the
chan
gein
Yu
ba C
oun
ty’s
pop
ula
tion
fro
m 1
990
to 2
000.
Sam
ple
an
swer
:Th
ep
op
ula
tio
n in
crea
sed
fro
m 1
990
to 1
994
and
th
en d
ecre
ased
fro
m 1
994
to 1
998.
It s
taye
d t
he
sam
e fr
om
199
8 to
200
0.
8.W
EATH
ERR
efer
to
the
grap
h m
ade
in E
xerc
ise
6.D
escr
ibe
the
chan
ge i
n
the
amou
nt
of r
ain
fall
fro
m J
anu
ary
to J
un
e.S
amp
le a
nsw
er:T
he
rain
fall
stay
ed t
he
sam
e fr
om
Jan
uar
y to
Ap
ril.
It in
crea
sed
shar
ply
fro
m A
pri
l to
May
.Th
en r
ain
fall
incr
ease
d s
om
e m
ore
fro
m M
ay t
o J
un
e.
Prac
tice:
Ski
llsB
ar G
rap
hs
and
Lin
e G
rap
hs
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–2
Eve
rgla
des
Nat
ion
al P
ark
Mon
thR
ain
fall
(in
ches
)
Jan
uar
yF
ebru
ary
Mar
chA
pril
May
Jun
e
2 2 2 2 7 10
Yu
ba
Cou
nty
,Cal
ifor
nia
Yea
rP
opu
lati
on (
thou
san
ds)
1990
1992
1994
1996
1998
2000
59 61 62 61 60 60
Peo
ple
in
Am
eric
a in
163
0
Col
ony
Peo
ple
(h
un
dre
ds)
Mai
ne
New
Ham
psh
ire
Mas
sach
use
tts
New
Yor
kV
irgi
nia
4 5 9 4 25
Car
s M
ade
in 2
000
Cou
ntr
yC
ars
(mil
lion
s)
Bra
zil
Japa
nG
erm
any
Spa
inU
.S.A
.
1 8 5 2 6
Answers (Lesson 2-2)
© Glencoe/McGraw-Hill A7 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill70
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Lin
e Pl
ots
In a
lin
e p
lot,
data
are
pic
ture
d on
a n
um
ber
lin
e.A
n✕
is u
sed
to r
epre
sen
tea
ch i
tem
of
data
.For
exa
mpl
e,th
e fi
gure
bel
ow i
s a
lin
e pl
ot t
hat
pic
ture
sda
ta a
bou
t th
e n
um
ber
of C
Ds
own
ed b
y th
e st
ude
nts
in
a m
ath
cla
ss.
Use
th
e li
ne
plo
t ab
ove
to a
nsw
er e
ach
qu
esti
on.
1.H
ow m
any
stu
den
ts o
wn
exa
ctly
eig
hte
en C
Ds?
2
2.W
hat
nu
mbe
r of
CD
s is
ow
ned
by
exac
tly
thre
e st
ude
nts
?11
3.A
dat
a it
em t
hat
is
far
apar
t fr
om t
he
rest
of
the
data
is
call
ed a
n o
utl
ier.
Is t
her
e an
ou
tlie
r am
ong
thes
e da
ta?
Wh
at i
s it
?ye
s;34
4.W
hat
wou
ld y
ou s
ay i
s th
e n
um
ber
of C
Ds
own
ed b
y th
e “t
ypic
al”
stu
den
tin
th
is c
lass
?S
amp
le a
nsw
er:
7–13
tap
es
5.U
se t
he
data
in
th
e ta
ble
to c
ompl
ete
the
lin
e pl
ot b
elow
.Fou
r da
ta p
oin
tsh
ave
been
gra
phed
for
you
.
7080
9010
011
012
013
014
015
0
��
��
� �� �
� �� �
� � � � � �
� � �
� � �� � �
510
1520
2530
350
Num
ber
of
CD
s O
wne
d b
y S
tud
ents
in a
Mat
h C
lass
� � � � �� � � � ��
��
��
��
� �� �� �� �
� � �� � �
� � � �� � � ��
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Enric
hmen
t
Nu
mb
er o
f S
econ
ds
for
24 S
ixth
-Gra
der
s to
Ru
n 2
00 M
eter
s
130
100
8512
010
010
011
015
090
100
110
130
125
105
100
7012
585
9513
010
590
105
100
©G
lenc
oe/M
cGra
w-H
ill69
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Pre-
Act
ivit
yC
om
ple
te t
he
acti
vity
at
the
top
of
pag
e 56
in y
ou
r te
xtb
oo
k.W
rite
you
r an
swer
s b
elo
w.
1.W
hat
typ
e of
rol
ler
coas
ter
is m
ost
com
mon
?st
eel
2.W
hat
mig
ht
be a
n a
dvan
tage
of
orga
niz
ing
data
in
a t
able
? A
re t
her
e an
y di
sadv
anta
ges
of o
rgan
izin
g da
ta i
n t
his
way
?S
amp
le a
nsw
er:
An
ad
van
tag
e o
fo
rgan
izin
g d
ata
in a
tab
le is
th
at y
ou
can
fin
d e
xact
val
ues
fo
r ea
ch t
ype
of
coas
ter.
A d
isad
van
tag
e m
ay b
e th
at a
tab
le is
no
t as
vis
ual
as
a g
rap
h.
Rea
din
g t
he
Less
on
Com
par
e th
e fr
equ
ency
tab
le a
t th
e to
p o
f p
age
56 w
ith
th
e b
ar g
rap
hin
th
e m
idd
le o
f th
e sa
me
pag
e.
3.H
ow a
re t
hey
sim
ilar
?S
amp
le a
nsw
er:
Bo
th r
epre
sen
t th
e fr
equ
ency
o
f si
x ty
pes
of
rolle
r co
aste
rs f
ou
nd
in t
he
Un
ited
Sta
tes.
4.H
ow a
re t
hey
dif
fere
nt?
Sam
ple
an
swer
:Th
e fr
equ
ency
tab
le u
ses
nu
mb
ers.
Th
e b
ar g
rap
h t
ran
slat
es t
he
nu
mb
ers
into
bar
s o
f va
ryin
gh
eig
hts
.5.
For
pu
rpos
es o
f co
mpa
riso
n,w
hic
h d
o yo
u f
ind
easi
er t
o u
se t
o co
mpa
re
diff
eren
ces
amon
g fr
equ
enci
es—
the
freq
uen
cy t
able
or
the
bar
grap
h?
Exp
lain
.S
amp
le a
nsw
er:T
he
bar
gra
ph
;it
is e
asie
r to
see
at
a g
lan
ceth
at t
he
freq
uen
cy o
f th
e st
eel r
olle
r co
aste
r is
far
gre
ater
th
an t
he
freq
uen
cy o
f an
y o
f th
e o
ther
typ
es o
f ro
ller
coas
ter
in t
he
dat
a se
t.
Ref
er t
o th
e li
ne
grap
h a
t th
e b
otto
m o
f p
age
56.
6.R
epre
sen
t th
e sa
me
data
in
a t
able
th
at u
ses
only
nu
mbe
rs.
Sam
ple
an
swer
:
7.C
ompa
re t
he
tabl
e yo
u ju
st c
reat
ed w
ith
th
e li
ne
grap
h.W
hic
h d
o yo
u t
hin
k pr
esen
ts t
he
data
in
a w
ay t
hat
is
easi
er t
o co
mpa
re c
han
ges
over
per
iods
of
tim
e? E
xpla
in.
Sam
ple
answ
er:T
he
line
gra
ph
;it
is e
asie
r to
see
at a
gla
nce
ho
w t
he
freq
uen
cy o
fw
oo
den
ro
ller
coas
ters
ch
ang
ed o
ver
inte
rval
s o
f ti
me.
Hel
pin
g Y
ou
Rem
emb
er8.
Exp
lain
how
th
e in
form
atio
n i
n a
lin
e gr
aph
dif
fers
fro
m t
he
info
rmat
ion
in
a b
ar g
raph
.S
amp
le a
nsw
er:
Lin
e g
rap
hs
sho
w h
ow
info
rmat
ion
chan
ges
ove
r ti
me.
Bar
gra
ph
s ar
e u
sed
to
co
mp
are
dat
a.
Read
ing
to L
earn
Mat
hem
atic
sB
ar G
rap
hs
and
Lin
e G
rap
hs
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–2
U.S
.Woo
den
Rol
ler
Coa
ster
s
Year
Fre
qu
ency
1925
819
5018
1975
1920
0075
Answers (Lesson 2-2)
An
swer
s
© Glencoe/McGraw-Hill A8 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill72
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
GEO
GR
APH
YU
se t
he
grap
h t
hat
sh
ows
how
mu
ch o
f E
arth
’s l
and
th
at e
ach
con
tin
ent
rep
rese
nts
.
1.W
hic
h c
onti
nen
t h
as t
he
grea
test
are
a?A
sia
2.W
hic
h t
wo
con
tin
ents
are
th
e sm
alle
st?
Au
stra
lia a
nd
Eu
rop
e
3.H
ow d
oes
the
size
of
Eu
rope
com
pare
to
the
size
of A
fric
a?E
uro
pe
is s
mal
ler
than
Afr
ica.
4.H
ow m
uch
lar
ger
is A
sia
than
Afr
ica?
Asi
a is
on
e an
da
hal
f ti
mes
as
larg
e as
Afr
ica.
LAK
ESU
se t
he
grap
h t
hat
sh
ows
how
mu
ch o
f th
e to
tal
surf
ace
of t
he
Gre
at L
akes
eac
h l
ake
tak
es u
p.
5.W
hic
h o
f th
e G
reat
Lak
es i
s th
e sm
alle
st?
Lak
e O
nta
rio
6.W
hic
h t
wo
lake
s ar
e ab
out
the
sam
e si
ze?
Lak
e M
ich
igan
an
d L
ake
Hu
ron
7.H
ow d
oes
Lak
e E
rie
com
pare
to
Lak
e O
nta
rio?
Lak
e E
rie
is s
ligh
tly
larg
er t
han
Lak
e O
nta
rio
.
8.W
hic
h t
wo
lake
s to
geth
er a
re t
he
sam
e si
ze a
s L
ake
Su
peri
or?
Lak
e E
rie
and
Lak
e M
ich
igan
,or
Lak
e E
rie
and
Lak
e H
uro
n
VA
CA
TIO
NS
Use
th
e gr
aph
th
at s
how
s h
ow f
amil
ies
wil
l sp
end
win
ter
vaca
tion
.
9.H
ow w
ill
mos
t fa
mil
ies
spen
d th
eir
vaca
tion
s?vi
siti
ng
fam
ily
10.
Wil
l m
ore
fam
ilie
s go
to
the
beac
h o
r go
sh
oppi
ng?
go
sh
op
pin
g
11.
Com
pare
how
man
y fa
mil
ies
wil
l be
ski
ing
to h
ow m
any
wil
l be
vis
itin
g fa
mil
y.A
bo
ut
thre
e ti
mes
as
man
y fa
mili
es w
ill b
e vi
siti
ng
fam
ily a
s w
ill b
e sk
iing
.
Win
ter
Vaca
tio
n
Vis
it Fa
mily
33%
Sho
p22
%
Bea
ch7%
Hom
e27
%
Ski
11%G
reat
Lak
es
Ont
ario
8%
Sup
erio
r34
%
Hur
on24
%
Erie
10%
Mic
higa
n24
%
Co
ntin
ents
Sou
thA
mer
ica
12%
Asi
a30
%
Nor
thA
mer
ica
16%
Aus
tral
ia6%
Eur
ope
7%
Afr
ica
20%
Ant
artic
a9%
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Ski
llsC
ircl
e G
rap
hs
Lesson 2–3
©G
lenc
oe/M
cGra
w-H
ill71
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
SCH
OO
LT
he
circ
le g
rap
h s
how
s th
e su
bje
cts
Mik
e st
ud
ies
du
rin
g h
omew
ork
ti
me.
Wh
ich
su
bje
ct d
oes
Mik
e sp
end
m
ost
of h
is t
ime
stu
dyi
ng?
Th
e la
rges
t se
ctio
n o
f th
e gr
aph
is
the
sect
ion
repr
esen
tin
g m
ath
.So,
mat
h t
akes
up
the
mos
t ti
me.
How
doe
s th
e ti
me
spen
t st
ud
yin
g so
cial
stu
die
s co
mp
are
to t
he
spen
t st
ud
yin
g sc
ien
ce?
Th
e se
ctio
n r
epre
sen
tin
g so
cial
stu
dies
is
abou
t tw
ice
the
size
of
the
sect
ion
rep
rese
nti
ng
scie
nce
.So,
twic
e as
mu
ch t
ime
is s
pen
t on
soc
ial
stu
dies
as
on s
cien
ce.
SUR
VEY
SU
se t
he
grap
h t
hat
sh
ows
the
resu
lts
of a
fav
orit
e co
lors
su
rvey
.1.
Wh
ich
col
or i
s th
e le
ast
favo
rite
?p
urp
le
2.W
hic
h c
olor
s ar
e th
e fa
vori
tes
of t
he
sam
e n
um
ber
of p
eopl
e?o
ran
ge
and
yel
low
3.H
ow d
oes
the
nu
mbe
r of
peo
ple
wh
o sa
y gr
een
is
thei
r fa
vori
teco
lor
com
pare
to
the
nu
mbe
r w
ho
say
yell
ow i
s th
eir
favo
rite
colo
r?A
lmo
st t
wic
e as
man
y p
eop
le s
ay g
reen
as
say
yello
w.
FOO
DU
se t
he
grap
h o
f M
ike’
s st
ud
y ti
me
from
th
e E
xam
ple
s.4.
Wh
ich
su
bjec
t do
es M
ike
spen
d th
e le
ast
tim
e st
udy
ing?
mu
sic
5.O
n w
hic
h t
wo
subj
ects
tog
eth
er d
oes
Mik
e sp
end
abou
t th
e sa
me
tim
e as
rea
din
g?so
cial
stu
die
s an
d s
cien
ce
6.H
ow d
oes
the
am
oun
t of
tim
e sp
ent
on m
ath
com
pare
to
the
amou
nt
of t
ime
Mik
esp
ends
on
sci
ence
?E
igh
t ti
mes
as
mu
ch t
ime
is s
pen
t o
n m
ath
.
Favo
rite
Co
lors
Gre
en19
%
Yello
w10
%
Blu
e33
%R
ed25
%
Pur
ple
3%O
rang
e10
%
Mik
e's
Ho
mew
ork
Mus
ic1%
Sci
ence
8%
Mat
h48
%
Soc
ial
Stu
die
s17
%
Rea
din
g26
%
A c
ircl
e g
rap
his
use
d to
com
pare
par
ts o
f a
who
le.T
he p
ie-s
hape
d se
ctio
ns s
how
the
gro
ups.
The
perc
ents
add
up
to 1
00%
.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Cir
cle
Gra
ph
s
Answers (Lesson 2-3)
© Glencoe/McGraw-Hill A9 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill74
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Pre-
Act
ivit
yC
om
ple
te t
he
Min
i Lab
at
the
top
of
pag
e 62
in y
ou
r te
xtb
oo
k.W
rite
yo
ur
answ
ers
bel
ow
.
1.M
ake
a ba
r gr
aph
of
the
data
.
2.W
hic
h g
raph
rep
rese
nts
th
e da
ta b
ette
r,a
circ
le g
raph
or
a ba
r gr
aph
? E
xpla
in.
Sam
ple
an
swer
:Th
e ci
rcle
gra
ph
bes
t re
pre
sen
ts t
he
dat
a as
yo
u c
an s
ee h
ow
eac
h c
ateg
ory
co
mp
ares
to
th
e w
ho
le.
Rea
din
g t
he
Less
on
3.A
cir
cle
grap
h c
ompa
res
part
s of
a w
hol
e.H
ow i
s a
circ
le w
ell
suit
ed f
orth
is k
ind
of r
epre
sen
tati
on?
Sam
ple
an
swer
:Th
e ci
rcle
is a
wh
ole
.Eac
h s
ecti
on
of
the
circ
le is
a p
art
of
the
wh
ole
.D
iffe
ren
ces
in s
ize
bet
wee
n o
ne
sect
ion
an
d a
no
ther
are
very
eas
y to
rec
og
niz
e vi
sual
ly.
4.A
t th
e bo
ttom
of
page
62,
the
text
say
s th
at t
he
perc
ents
add
up
to 1
00%
.W
hy
is t
his
im
port
ant?
Sam
ple
an
swer
:It
is im
po
rtan
t th
at t
he
per
cen
ts a
dd
up
to
100
% b
ecau
se 1
00%
mea
ns
that
th
ew
ho
le c
ircl
e is
fill
ed a
nd
all
dat
a ar
e re
pre
sen
ted
.
Hel
pin
g Y
ou
Rem
emb
er5.
Fin
d a
circ
le g
raph
in
a n
ewsp
aper
or
mag
azin
e.E
xpla
in t
o a
clas
smat
ew
hat
th
e se
ctio
ns
of t
he
grap
h r
epre
sen
t.S
ee s
tud
ents
’wo
rk.
10or
mor
e6–
74–
51–
3
20 1015253035 05
Percent
Peop
le
8–9
Dri
ving
Tog
ethe
r in
One
Car
to S
prin
g Br
eak
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Read
ing
to L
earn
Mat
hem
atic
sC
ircl
e G
rap
hs
©G
lenc
oe/M
cGra
w-H
ill73
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
SPO
RTS
For
Exe
rcis
es 1
–3,u
se G
rap
h A
.For
Exe
rcis
es 4
–6,u
se G
rap
h B
.
Gra
ph
AG
rap
h B
Att
end
ance
at
the
Bas
ebal
l Gam
e
Age
61
and
old
er5%
Age
31-
4521
%
Age
0-1
525
%
Age
16-
3035
%
Age
46-
6014
%
Favo
rite
Sp
ort
s o
fM
r. Fr
anco
's C
lass
Bas
ebal
l49
%H
ocke
y10
%
Bas
ketb
all
20%
Foot
bal
l21
%
Prac
tice:
Wor
d Pr
oble
ms
Cir
cle
Gra
ph
s
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–3
1.K
wan
su
rvey
ed M
r.F
ran
co’s
cla
ss t
ofi
nd
out
the
favo
rite
spo
rts
of t
he
clas
s.W
hic
h s
port
was
th
e fa
vori
te o
f th
ela
rges
t pe
rcen
t of
stu
den
ts i
n t
he
clas
s?W
hic
h s
port
was
th
e fa
vori
te o
f th
esm
alle
st p
erce
nt
of s
tude
nts
?b
aseb
all;
ho
ckey
2.W
hic
h s
port
s w
ere
the
favo
rite
of
abou
tth
e sa
me
nu
mbe
r of
stu
den
ts?
bas
ketb
all a
nd
fo
otb
all
3.W
hic
h s
port
is
the
favo
rite
of
hal
f as
man
y st
ude
nts
as
bask
etba
ll?
ho
ckey
4.M
r.Ja
ckso
n k
ept
trac
k of
att
enda
nce
at
the
base
ball
gam
e fo
r an
adv
erti
sin
gag
ency
.Th
e ag
ency
wan
ts t
o ta
rget
its
adve
rtis
ing
to t
he
age
grou
p th
at h
asth
e h
igh
est
perc
ent
in a
tten
dan
ce.T
ow
hic
h g
rou
p sh
ould
th
e ag
ency
tar
get
ads?
age
16–3
0
5.W
hic
h t
wo
age
grou
ps h
ave
abou
t th
esa
me
perc
ent
of p
eopl
e?ag
e 0–
15an
d a
ge
31–4
5
6.M
r.Ja
ckso
n’s
dau
ghte
r is
in
th
e ag
egr
oup
wit
h t
he
seco
nd
hig
hes
t pe
rcen
t.In
wh
ich
age
gro
up
is M
r.Ja
ckso
n’s
dau
ghte
r?ag
e 0–
15
Answers (Lesson 2-3)
An
swer
s
© Glencoe/McGraw-Hill A10 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill76
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Th
e gr
aph
sh
ows
the
tim
e R
ub
en
spen
ds
each
day
pra
ctic
ing
pia
no
scal
es.P
red
ict
how
mu
ch t
ime
he
wil
l sp
end
pra
ctic
ing
his
sca
les
on F
rid
ay.
Con
tin
ue
the
grap
h w
ith
a d
otte
d li
ne
in t
he
sam
edi
rect
ion
un
til
you
rea
ch a
ver
tica
l po
siti
on f
or F
rida
y.B
y ex
ten
din
g th
e gr
aph
,you
see
th
at R
ube
n w
ill
prob
ably
spe
nd
hal
f an
hou
r pr
acti
cin
g pi
ano
scal
es
on F
rida
y.
MO
NEY
Use
th
e gr
aph
th
at s
how
s th
e p
rice
of
a ti
cket
to
a lo
cal
hig
h s
choo
l fo
otb
all
gam
e ov
er
the
last
few
yea
rs.
1.H
as t
he
pric
e be
en i
ncr
easi
ng
or d
ecre
asin
g?
Exp
lain
.In
crea
sin
g;
the
gra
ph
ris
es a
s it
go
es f
rom
left
to
rig
ht.
2.P
redi
ct t
he
pric
e of
a t
icke
t in
yea
r 6
if t
he
tren
dco
nti
nu
es.
abo
ut
$7.0
0
3.In
wh
at y
ear
do y
ou t
hin
k th
e pr
ice
wil
l re
ach
$9
.00
if t
he
tren
d co
nti
nu
es?
aro
un
d y
ear
8
BA
NK
SU
se t
he
grap
h t
hat
sh
ows
the
inte
rest
rat
e fo
r a
savi
ngs
acc
oun
t ov
er t
he
last
few
yea
rs.
4.W
hat
doe
s th
e gr
aph
tel
l yo
u a
bou
t in
tere
st r
ates
?T
hey
are
dec
reas
ing
.
5.If
th
e tr
end
con
tin
ues
,wh
en w
ill
the
inte
rest
rat
e re
ach
1 p
erce
nt?
abo
ut
year
71
23
45
67
8
3% 2% 1%4%5%6%
Rate
Year
0
Inte
rest
Rat
es
12
34
56
78
3 2 1456789
Price ($)
Year
0
Foot
ball
Tick
ets
Sat.
Sun.
Mon. Tue.
Wed
. Thur
. Fri.
12
Hours
Day
0
Pian
o Sc
ale
Prac
tice
Tim
es
Bec
ause
the
y sh
ow t
rend
s ov
er t
ime,
lin
e g
rap
hs
are
ofte
n us
ed t
o pr
edic
t fu
ture
eve
nts.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Mak
ing
Pre
dic
tio
ns
©G
lenc
oe/M
cGra
w-H
ill75
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
A C
ircl
e G
rap
h M
yste
ryT
he
circ
le g
raph
bel
ow w
as d
raw
n t
o sh
ow t
he
lead
ing
cau
ses
of f
ire
in t
he
Un
ited
Sta
tes.
How
ever
,all
th
e la
bels
exc
ept
one
hav
e m
yste
riou
sly
disa
ppea
red.
Use
th
e cl
ues
bel
ow t
o d
ecid
e w
hat
th
e la
bel
s sh
ould
be
and
wh
ere
they
bel
ong.
Th
en c
omp
lete
th
e gr
aph
.(R
emem
ber
:Eac
h l
abel
mu
stin
clu
de
a w
ord
or
ph
rase
an
d a
per
cen
t.)
Clu
e 1
Mos
t fi
res
are
cau
sed
by h
eati
ng
equ
ipm
ent.
Clu
e 2
Fir
es c
ause
d by
ele
ctri
cal
wir
ing
and
fire
s ca
use
d by
hea
tin
geq
uip
men
tto
geth
er m
ake
up
46%
of
all
fire
s.
Clu
e 3
Th
e pe
rcen
t of
fir
es c
ause
d by
ch
ild
ren
pla
yin
gis
12%
les
s th
anth
e pe
rcen
t of
fir
es c
ause
d by
coo
kin
g.
Clu
e 4
Th
e pe
rcen
t of
fir
es c
ause
d by
ope
n f
lam
esis
equ
al t
o th
epe
rcen
t of
fir
es c
ause
d by
ch
ild
ren
pla
yin
g.
Clu
e 5
Th
e pe
rcen
t of
th
e fi
res
cau
sed
by c
ooki
ng
and
the
perc
ent
offi
res
cau
sed
by a
rson
are
toge
ther
just
1%
les
s th
an t
he
perc
ent
of f
ires
cau
sed
by h
eati
ng
equ
ipm
ent.
Clu
e 6
Th
e pe
rcen
t of
th
e fi
res
cau
sed
by e
lect
rica
l w
irin
gis
15%
grea
ter
than
th
e pe
rcen
t ca
use
d by
ch
ild
ren
pla
yin
g.
Clu
e 7
Fir
es c
ause
d by
sm
okin
gan
d fi
res
cau
sed
by a
rson
toge
ther
mak
e u
p 17
% o
f al
l fi
res.
Clu
e 8
Fir
es t
hat
res
ult
fro
m o
ther
cau
ses
are
list
ed i
n a
cat
egor
yca
lled
oth
er.
Cau
ses
of
Fire
s
cook
ing
16%
elec
tric
alw
iring
19%
heat
ing
equi
pm
ent
27%
othe
r13
%
open
flam
es4%
child
ren
pla
ying
4%
smok
ing
7%ar
son
10%
Enric
hmen
tN
AM
E__
____
____
____
____
____
____
____
____
____
__D
ATE
___
____
____
___
PE
RIO
D
____
_
Lesson 2–3
Answers (Lessons 2-3 and 2-4)
© Glencoe/McGraw-Hill A11 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill78
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
FITN
ESS
For
Exe
rcis
es 1
–3,u
se G
rap
h A
.For
Exe
rcis
es 4
–6,u
se G
rap
h B
.
Gra
ph
AG
rap
h B
12
34
56
78
30 20 104050607080
Number of Sit-ups
Wee
k
0
Sit-
ups
12
34
56
6 4 28101214
Number of Students
Wee
k
0
Aer
obic
s Cl
ass
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Wor
d Pr
oble
ms
Mak
ing
Pre
dic
tio
ns
1.R
efer
to
Gra
ph A
.Des
crib
e th
e ch
ange
in t
he
nu
mbe
r of
stu
den
ts t
akin
g th
eae
robi
cs c
lass
.S
amp
le a
nsw
er:
Th
ere
was
a s
har
p d
ecre
ase
inth
e n
um
ber
of
stu
den
ts in
wee
ks2
and
3.T
her
e w
as a
slig
ht
dec
reas
e in
wee
k 4.
Th
en t
he
nu
mb
er o
f st
ud
ents
rem
ain
edco
nst
ant
in w
eek
5.
2.P
redi
ct h
ow m
any
stu
den
ts w
ill
be i
nth
e ae
robi
cs c
lass
in
wee
k 6
if t
he
tren
dco
nti
nu
es.
Sam
ple
an
swer
:7
stu
den
ts
3.P
redi
ct h
ow m
any
stu
den
ts w
ill
be i
nth
e ae
robi
cs c
lass
in
wee
k 8.
Sam
ple
answ
er:
7 st
ud
ents
4.D
escr
ibe
the
chan
ge i
n t
he
nu
mbe
r of
sit-
ups
Car
a ca
n d
o.S
amp
lean
swer
:Th
e n
um
ber
of
sit-
up
sin
crea
sed
ste
adily
ove
r th
e 5
wee
ks.
5.P
redi
ct h
ow m
any
sit-
ups
Car
a w
ill
beab
le t
o do
in
wee
k 6
if t
he
tren
dco
nti
nu
es.
Sam
ple
an
swer
:65
sit
-up
s
6.P
redi
ct t
he
wee
k in
wh
ich
Car
a w
ill
beab
le t
o do
80
sit-
ups
if
the
tren
dco
nti
nu
es.
Sam
ple
an
swer
:w
eek
7
Lesson 2–4
©G
lenc
oe/M
cGra
w-H
ill77
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
INTE
RN
ETU
se t
he
grap
h t
hat
sh
ows
Inte
rnet
use
rs
in t
he
Un
ited
Sta
tes.
1.D
escr
ibe
the
chan
ge i
n a
ctiv
e In
tern
et u
sers
fro
m A
pril
2000
to
Apr
il 2
001.
Sam
ple
an
swer
:Th
e n
um
ber
of
acti
ve In
tern
et u
sers
incr
ease
d.
2.P
redi
ct h
ow m
any
acti
ve u
sers
th
ere
wer
e in
Oct
ober
2001
if
the
tren
d co
nti
nu
ed.
Sam
ple
an
swer
:ab
ou
t 11
0 m
illio
n u
sers
3.P
redi
ct w
hen
th
e n
um
ber
of a
ctiv
e u
sers
exc
eede
d 11
5 m
illi
on i
f th
e tr
end
con
tin
ued
.S
amp
le a
nsw
er:
by A
pri
l 200
2
4.W
ere
ther
e m
ore
acti
ve u
sers
in
Jan
uar
y 20
02 o
rO
ctob
er 2
001?
Exp
lain
.S
amp
le a
nsw
er:
Mo
st li
kely
in J
anu
ary
2002
;th
e n
um
ber
of
acti
ve u
sers
had
bee
n in
crea
sin
g s
ince
Ap
ril 2
000.
SPO
RTS
Use
th
e gr
aph
th
at s
how
s th
e w
inn
ing
tim
es o
f th
e 10
K B
iath
lon
rou
nd
ed t
o th
e n
eare
stm
inu
te.
5.H
ow d
id t
he
win
nin
g ti
me
chan
ge f
rom
198
0 to
200
2?S
amp
le a
nsw
er:
It d
ecre
ased
slig
htl
y fr
om
1980
to
198
4,an
d t
hen
dec
reas
ed s
har
ply
fro
m19
84 t
o 1
988.
Nex
t it
incr
ease
d u
nti
l 199
4;an
dth
en d
ecre
ased
.
6.T
o th
e n
eare
st m
inu
te,b
y h
ow m
uch
did
th
e w
inn
ing
tim
e ch
ange
fro
m 1
980
to 2
002?
7 m
inu
tes
7.P
redi
ct t
he
win
nin
g ti
me
for
2006
if
the
tren
d co
nti
nu
es.
Th
e w
inn
ing
tim
e w
ill b
e ab
ou
t 23
min
ute
s.
8.P
redi
ct w
hen
th
e w
inn
ing
tim
e w
ill
be l
ess
than
20
min
ute
s if
th
e tr
end
con
tin
ues
.It
will
occ
ur
aro
un
d 2
014.
'80
'84
'88
'92
'94
'98
'02
'06
26 25 2427282930313233 Time (min)
Win
ter O
lym
pic
Year
010K
Biat
hlon
Win
ning
Tim
es
April
'00 July
'00 Oct. '0
0 Jan. '0
1 April
'01 July
'01 Oct. '0
1 Jan. '0
2
75 70 6580859095100
105
110
115
120
Users (millions)
Date
0
Act
ive
Inte
rnet
Use
rs
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Ski
llsM
akin
g P
red
icti
on
s
Answers (Lesson 2-4)
An
swer
s
© Glencoe/McGraw-Hill A12 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill80
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Gra
ph
s an
d D
ecis
ion
Mak
ing
Just
as
impo
rtan
t as
kn
owin
g h
ow t
o m
ake
a ba
r gr
aph
or
a li
ne
grap
h i
sde
cidi
ng
wh
at t
ype
of g
raph
to
use
.Her
e ar
e so
me
guid
elin
es t
o h
elp
you
mak
e th
at d
ecis
ion
.
•A
bar
gra
ph c
ompa
res
data
th
at f
all
into
dis
tin
ct c
ateg
orie
s.
Exa
mp
leU
se a
bar
gra
ph t
o sh
ow h
ow t
he
popu
lati
ons
of s
ever
al c
itie
sco
mpa
re i
n o
ne
year
.
•A
lin
e gr
aph
sh
ows
chan
ges
in d
ata
over
a p
erio
d of
tim
e.
Exa
mp
leU
se a
lin
e gr
aph
to
show
how
th
e po
pula
tion
of
one
city
ch
ange
dov
er s
ever
al y
ears
.
Wou
ld y
ou u
se a
bar
gra
ph
or
a li
ne
grap
h t
o sh
ow t
hes
e d
ata?
1.av
erag
e te
mpe
ratu
res
in S
acra
men
to f
or e
ach
mon
th o
f th
e ye
arlin
e g
rap
h
2.av
erag
e te
mpe
ratu
res
in J
anu
ary
in f
ive
Cal
ifor
nia
cit
ies
bar
gra
ph
3.la
nd
area
of
the
con
tin
ents
bar
gra
ph
4.n
um
ber
of C
D p
laye
rs p
urc
has
ed e
ach
yea
r fr
om 1
981
thro
ugh
199
0lin
e g
rap
h
5.w
eigh
t of
a b
aby
in e
ach
mon
th f
rom
bir
th t
o on
e ye
ar o
f ag
elin
e g
rap
h
6.h
eigh
ts o
f th
e w
orld
’s f
ive
tall
est
tree
sb
ar g
rap
h
Mak
e an
ap
pro
pri
ate
grap
h f
or e
ach
set
of
dat
a.
7.C
ars
in U
se8.
Sea
tin
g C
apac
ity
of A
ircr
aft
100 0
200
300
400
500
B74
7D
C-1
0L-
1011
MD
-80
Number of Seats
Seat
ing
Capa
city
of A
ircr
aft
Mod
el20 0406080100
120
140
Number(Millions)
1970
1980
1990
Cars
in U
se Year
2000
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Enric
hmen
t
Mod
elN
um
ber
of
Sea
ts
B74
7D
C-1
0L
-101
1M
D-8
0
405
288
296
142
Yea
rN
um
ber
(m
illi
ons)
1970
1980
1990
2000
80 105
124
136
Lesson 2–4
©G
lenc
oe/M
cGra
w-H
ill79
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Pre-
Act
ivit
yC
om
ple
te t
he
acti
vity
at
the
top
of
pag
e 66
in y
ou
r te
xtb
oo
k.W
rite
you
r an
swer
s b
elo
w.
1.D
escr
ibe
the
tren
ds i
n t
he
win
nin
g am
oun
ts.
Th
e w
inn
ing
am
ou
nts
incr
ease
slo
wly
un
til 1
998,
wh
en t
her
e w
as a
larg
e ju
mp
.Fo
r th
e n
ext
4 ye
ars
the
amo
un
ts in
crea
sed
$50
,000
–$10
0,00
0 ea
ch y
ear.
2.M
ake
a pr
edic
tion
as
to t
he
amou
nt
of m
oney
th
e w
inn
er o
f th
e 20
05D
ayto
na
500
wil
l re
ceiv
e.$1
,600
,000
Rea
din
g t
he
Less
on
Ref
er t
o th
e se
nte
nce
ju
st b
elow
th
e ac
tivi
ty a
t th
e to
p o
f p
age
66:
“Lin
e gr
aph
s ar
e of
ten
use
d t
o p
red
ict
futu
re e
ven
ts b
ecau
se t
hey
show
tre
nd
s ov
er t
ime.
”
3.T
he
wor
d pr
edic
tco
mes
fro
m t
wo
Lat
in w
ords
th
at m
ean
“to
tel
l in
adva
nce
.”L
ook
up
the
wor
d pr
edic
t in
a d
icti
onar
y.W
hat
mea
nin
g is
give
n f
or t
he
wor
d?S
amp
le a
nsw
er:T
o d
ecla
re o
r in
dic
ate
inad
van
ce;
to f
ore
tell
4.L
ook
up
the
wor
d tr
end
in a
dic
tion
ary.
Wh
at m
ean
ing
is g
iven
for
th
ew
ord
as i
t is
use
d in
th
e de
fin
itio
n o
f li
ne
grap
h?
Sam
ple
an
swer
:T
he
gen
eral
mov
emen
t in
th
e co
urs
e o
f ti
me
of
a st
atis
tica
llyd
etec
tab
le c
han
ge;
ten
den
cy
5.L
ook
at t
he
lin
e gr
aph
at
the
bott
om o
f pa
ge 6
6.In
ter
ms
of t
ren
d,w
hat
h
appe
ned
bet
wee
n 1
997
and
1998
? W
hat
is
the
diff
eren
ce b
etw
een
pr
edic
tion
an
d da
ta o
r st
atis
tics
?S
amp
le a
nsw
er:
Bet
wee
n 1
997
and
199
8,th
ere
was
a s
har
p in
crea
se in
mo
ney
aw
ard
ed t
he
win
ner
of
the
Day
ton
a50
0.T
he
incr
ease
was
far
ab
ove
the
tren
d in
dic
ated
by
dat
a p
rio
r to
1997
;D
ata
or
stat
isti
cs a
re r
eal,
are
actu
al,a
nd
are
bas
ed o
no
bse
rvat
ion
an
d a
nal
ysis
.Pre
dic
tio
n is
mer
ely
a g
ues
s at
wh
at m
igh
th
app
en in
th
e fu
ture
.
Hel
pin
g Y
ou
Rem
emb
er6.
Fin
d tw
o li
ne
grap
hs,
one
wh
ere
you
fee
l yo
u c
an p
redi
ct t
he
futu
re w
ith
co
nfi
den
ce a
nd
one
wh
ere
you
can
not
.Exp
lain
th
e di
ffer
ence
.S
amp
le a
nsw
er:T
he
dif
fere
nce
will
lie
in t
he
pat
tern
or
tren
d o
f d
ata
in t
he
gra
ph
.If
the
tren
dis
obv
iou
s an
d r
epea
ts w
ith
co
nsi
sten
cy,f
utu
re e
ven
ts a
re m
ore
pre
dic
tab
le t
han
if t
he
gra
ph
do
es n
ot
sho
w a
ny r
epea
tab
le p
atte
rns
or
gen
eral
tre
nd
.
Read
ing
to L
earn
Mat
hem
atic
sM
akin
g P
red
icti
on
s
Answers (Lesson 2-4)
© Glencoe/McGraw-Hill A13 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill82
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Mak
e a
stem
-an
d-l
eaf
plo
t fo
r ea
ch s
et o
f d
ata.
1.18
,16,
13,2
0,33
,58,
32,1
4,61
,67,
522.
61,7
5,62
,63,
74,7
1,75
,82,
64,8
1,91
,65
7|5
�75
1|3
�13
3.$5
2,$4
9,$3
7,$2
1,$6
5,$2
3,$4
9,$5
1,4.
82°,
91°,
80°,
55°,
63°,
54°,
83°,
90°,
84°,
$22,
$21,
$24,
$47,
$44,
$53,
$61
91°,
59°,
62°,
50°,
92°,
85°,
92°,
92°
4|9
�$4
95|
0 �
50°
SPO
RTS
For
Exe
rcis
es 5
–8,u
se t
he
stem
-an
d-
leaf
plo
t th
at s
how
s th
e to
tal
nu
mb
er o
f p
oin
ts e
arn
ed b
y ea
ch v
olle
ybal
l te
am a
t a
tou
rnam
ent.
5.W
hat
was
th
e gr
eate
st n
um
ber
of p
oin
ts
earn
ed?
65 p
oin
ts
4|5
�45
poi
nts
6.W
hat
was
th
e le
ast
nu
mbe
r of
poi
nts
ear
ned
?29
po
ints
7.H
ow m
any
team
s ea
rned
mor
e th
an 5
0 po
ints
?6
team
s
8.B
etw
een
wh
at n
um
bers
are
mos
t of
th
e po
ints
ear
ned
?b
etw
een
36
and
49
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Ski
llsS
tem
-an
d-L
eaf
Plo
ts
Ste
mL
eaf
1 2 3 4 5 6
34
68
0 23
28
17
Ste
mL
eaf
6 7 8 9
12
34
51
45
51
21
Ste
mL
eaf
5 6 7 8 9
04
59
23
02
34
50
11
22
2
Ste
mL
eaf
2 3 4 5 6
11
23
47 4
79
91
23
15
Ste
mL
eaf
2 3 4 5 6
9 66
78
94
55
79
14
91
35
Lesson 2–5
©G
lenc
oe/M
cGra
w-H
ill81
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Mak
e a
stem
-an
d-l
eaf
plo
t of
th
e d
ata
in t
he
tab
le.T
hen
wri
te a
few
sen
ten
ces
that
an
alyz
e th
e d
ata.
Ste
p 1
Ord
er t
he
data
fro
m l
east
to
grea
test
.41
5152
5355
6065
6567
6870
72
Ste
p 2
Dra
w a
ver
tica
l li
ne
and
wri
te t
he
ten
s di
gits
from
lea
st t
o gr
eate
st t
o th
e le
ft o
f th
e li
ne.
Ste
p 3
Wri
te t
he
ones
dig
its
to t
he
righ
t of
th
e li
ne
wit
h t
he
corr
espo
ndi
ng
stem
s.
→�
�←
6|5
�$6
5
Ste
p 4
Incl
ude
a k
ey t
hat
exp
lain
s th
e st
ems
and
leav
es.
By
look
ing
at t
he
plot
,it
is e
asy
to s
ee t
hat
th
e le
ast
amou
nt
of m
oney
ear
ned
was
$41
an
d th
e gr
eate
st a
mou
nt
was
$72
.You
can
als
o se
e th
at m
ost
of t
he
data
fal
l be
twee
n
$51
and
$68.
Mak
e a
stem
-an
d-l
eaf
plo
t fo
r th
e se
t of
dat
a b
elow
.Wri
te a
few
sen
ten
ces
that
an
alyz
e th
e d
ata.
3444
5148
5541
4722
55
Sam
ple
an
swer
:Th
e le
ast
nu
mb
er is
22
and
th
e g
reat
est
nu
mb
eris
55.
Mo
st o
f th
e d
ata
fall
bet
wee
n 4
1 an
d 5
5.
4|1
�41
Key
Alw
ays
writ
e ea
ch le
af,
even
if it
rep
eats
.
The
one
sdi
gits
of
the
data
form
the
leav
es.
In t
his
data
set,
the
tens
digi
ts fo
rmth
e st
ems.
Som
etim
es it
is h
ard
to r
ead
data
in a
tabl
e.Yo
u ca
n us
e a
stem
-an
d-l
eaf
plo
tto
dis
play
the
data
in a
mor
e re
adab
le w
ay.I
n a
stem
-and
-leaf
plo
t, yo
u or
der
the
data
from
leas
t to
grea
test
.The
n yo
uor
gani
ze th
e da
ta b
y pl
ace
valu
e.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Ste
m-a
nd
-Lea
f P
lots
Mon
ey E
arn
edM
owin
g L
awn
s ($
)
6055
5341
6772
6568
6570
5251
Ste
mL
eaf
4 5 6 7
1 12
35
05
57
80
2
Ste
mL
eaf
2 3 4 5
2 4 14
78
15
5
Answers (Lesson 2-5)
An
swer
s
© Glencoe/McGraw-Hill A14 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill84
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Pre-
Act
ivit
yC
om
ple
te t
he
acti
vity
at
the
top
of
pag
e 72
in y
ou
r te
xtb
oo
k.W
rite
you
r an
swer
s b
elo
w.
1.W
hat
wer
e th
e le
ast
and
grea
test
nu
mbe
r of
poi
nts
sco
red?
56;
97
2.W
hic
h n
um
ber
of p
oin
ts o
ccu
rred
mos
t of
ten
?70
Rea
din
g t
he
Less
on
3.In
a s
tem
-an
d-le
af p
lot,
in w
hat
ord
er a
re t
he
data
?fr
om
leas
t to
gre
ates
t
4.In
a s
tem
-an
d-le
af p
lot
of t
wo-
digi
t n
um
bers
,how
are
th
e da
tare
pres
ente
d?T
he
ten
s d
igit
s fo
rm t
he
stem
s.T
he
un
its
dig
its
form
th
e le
aves
.
5.In
th
e bo
x be
low
th
e st
em-a
nd-
leaf
plo
t on
pag
e 72
,it
says
"A
lway
s w
rite
each
lea
f ev
en i
f it
rep
eats
."
Bec
ause
of
this
ru
le,w
hat
do
the
leav
es o
f a
stem
-an
d-le
af p
lot
tell
you
th
at y
ou d
o n
ot k
now
fro
m a
fre
quen
cy t
able
?S
amp
le a
nsw
er:
A s
tem
-an
d-l
eaf
plo
t in
dic
ates
th
e n
um
ber
of
tim
es a
ny in
div
idu
al p
iece
of
dat
a o
ccu
rs.I
n a
fre
qu
ency
tab
le,t
he
dat
a ar
e g
rou
ped
into
inte
rval
s.
6.L
ook
at t
he
stem
-an
d-le
af p
lot
at t
he
top
of p
age
73.W
hat
nu
mbe
r of
butt
erfl
ies
per
day
occu
rs t
he
mos
t of
ten
in
th
e st
em-a
nd-
leaf
plo
t? W
hat
does
th
at n
um
ber
indi
cate
?09
,or
9;o
n e
ach
of
tho
se f
ive
day
s,th
e st
ud
ent
saw
nin
e M
on
arch
bu
tter
flie
s.
Hel
pin
g Y
ou
Rem
emb
er7.
Wri
te t
he
step
s fo
r m
akin
g a
stem
-an
d-le
af p
lot.
Sh
ow s
omeo
ne
wh
at a
stem
-an
d-le
af p
lot
is,h
ow t
o re
ad o
ne,
and
how
to
mak
e on
e.S
eest
ud
ents
’wo
rk;
Sam
ple
an
swer
:1)
Ord
er t
he
dat
a fr
om
leas
tto
gre
ates
t.2)
Dra
w a
ver
tica
l lin
e an
d w
rite
th
e st
ems
to t
he
left
of
the
line
in o
rder
fro
m le
ast
to g
reat
est.
3) R
eco
rd t
he
leav
es f
or
each
ste
m,l
eft
to r
igh
t fr
om
leas
t to
gre
ates
t.4)
Wri
te a
key
th
at e
xpla
ins
the
stem
s an
d le
aves
.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Read
ing
to L
earn
Mat
hem
atic
sS
tem
-an
d-L
eaf
Plo
ts
©G
lenc
oe/M
cGra
w-H
ill83
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
TRA
FFIC
For
Exe
rcis
es 1
an
d 2
,use
th
e ta
ble
.For
Exe
rcis
es 3
an
d 4
,use
the
stem
-an
d-l
eaf
plo
t.
Nu
mb
er o
f B
ird
s at
a W
ater
ing
Hol
e E
ach
Hou
r
3|4
�34
bir
ds
Prac
tice:
Wor
d Pr
oble
ms
Ste
m-a
nd
-Lea
f P
lots
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–5
1.M
r.C
hin
did
a t
raff
ic s
urv
ey.H
e w
rote
dow
n t
he
nu
mbe
r of
tru
cks
that
pas
sed
thro
ugh
an
in
ters
ecti
on e
ach
hou
r.M
ake
a st
em-a
nd-
leaf
plo
t of
his
dat
a.
2.R
efer
to
you
r st
em-a
nd-
leaf
plo
t fr
omE
xerc
ise
1.M
r.C
hin
nee
ds t
o kn
ow t
he
ran
ge o
f tr
uck
s pa
ssin
g th
rou
gh t
he
inte
rsec
tion
in
on
e h
our
into
wh
ich
th
egr
eate
st n
um
ber
of h
ours
fal
l.10
-20
tru
cks
3.W
hat
is
the
leas
t n
um
ber
of b
irds
at
the
wat
erin
g h
ole
in o
ne
hou
r? W
hat
is
the
grea
test
nu
mbe
r?18
bir
ds;
57 b
ird
s
4.W
hat
is
the
mos
t fr
equ
ent
nu
mbe
r of
bird
s to
be
at t
he
wat
erin
g h
ole
in o
ne
hou
r?45
bir
ds
5.R
Vs
Mak
e a
stem
-an
d-le
af p
lot
for
the
nu
mbe
r of
RV
s M
r.C
hin
cou
nte
d in
12
hou
rs:3
,4,9
,13,
7,9,
8,5,
4,6,
1,11
.
1|3
�R
Vs
6.R
Vs
Wri
te a
few
sen
ten
ces
that
an
alyz
eth
e R
V d
ata
for
Mr.
Ch
in’s
rep
ort
inE
xerc
ise
5.T
he
leas
t n
um
ber
of
RV
s in
on
e h
ou
r w
as 1
,an
d t
he
gre
ates
t n
um
ber
was
13.
Th
em
ost
fre
qu
ent
nu
mb
ers
wer
e 4
and
9.
Ste
mL
eaf
1 2 3 4 5
89
48
93
44
42
55
55
78
00
33
46
67
Ste
mL
eaf
0 11
34
45
67
89
91
3
Ste
mL
eaf
0 1 2 3 4
56
68
04
57
89
99
11
23
68
92
44
02
2| 8
�28
Nu
mb
er o
f T
ruck
s P
assi
ng
Th
rou
ghth
e In
ters
ecti
on E
ach
Hou
r
515
642
3428
1918
1922
2321
3226
3419
2921
106
840
1417
Answers (Lesson 2-5)
© Glencoe/McGraw-Hill A15 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill86
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Th
e p
rice
s of
tw
elve
dif
fere
nt
jack
ets
are
show
n.F
ind
th
e m
ean
.
mea
n � �
�4 14 24 �or
37
Th
e m
ean
pri
ce o
f a
jack
et i
s $3
7.
Fin
d t
he
mea
n f
or t
he
snow
fall
dat
a w
ith
an
d w
ith
out
the
outl
ier.
Th
en
tell
how
th
e ou
tlie
r af
fect
s th
e m
ean
of
th
e d
ata.
Com
pare
d to
th
e ot
her
val
ues
,4 i
nch
es i
s lo
w.S
o,it
is
anou
tlie
r.
mea
n w
ith
ou
tlie
rm
ean
wit
hou
t ou
tlie
r
mea
n �
mea
n �
��8 50 �
or 1
6�
�7 46 �or
19
Wit
h t
he
outl
ier,
the
mea
n i
s le
ss t
han
th
e va
lues
of
mos
t of
th
e da
ta.W
ith
out
the
outl
ier,
the
mea
n i
s cl
ose
in v
alu
e to
th
e da
ta.
Fin
d t
he
mea
n f
or e
ach
set
of
dat
a.
1.11
,8,7
,12,
10,9
,13,
2612
2.15
,10,
9,17
,24,
27,3
9,15
,24
20
3.26
,19,
29,1
5,2,
31,5
6,30
264.
108,
121,
73,7
9,56
,91
88
5.F
ind
the
mea
n f
or t
he
set
of d
ata
in E
xerc
ise
1 w
ith
out
the
outl
ier.
Th
ente
ll h
ow t
he
outl
ier
affe
cts
the
mea
n o
f th
e da
ta.
10;T
he
mea
n is
gre
ater
th
an m
ost
of
the
dat
a w
ith
th
e o
utl
ier.
Wit
ho
ut
the
ou
tlie
r,th
e m
ean
is c
lose
in v
alu
e to
th
e d
ata.
20�
19�
20�
17�
��
420
�19
�20
�17
�4
��
�5
A s
et o
f da
ta m
ay c
onta
in v
ery
high
or
very
low
val
ues.
The
se v
alue
s ar
e ca
lled
ou
tlie
rs.
←su
m o
f th
e da
ta←
num
ber
of d
ata
item
s25
�34
�39
�…
�27
��
�12
The
mea
nis
the
mos
t co
mm
on m
easu
re o
f ce
ntra
l ten
denc
y.It
is a
n av
erag
e, s
o it
desc
ribes
all
of t
heda
ta in
a d
ata
set.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Mea
n
Jac
ket
Pri
ces
($)
2534
3941
4552
2722
5661
1527
Mon
thS
now
fall
(in
.)
Nov
.D
ec.
Jan
.F
eb.
Mar
.
20 19 20 17 4
©G
lenc
oe/M
cGra
w-H
ill85
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
A b
ack
-to-
bac
k s
tem
-an
d-l
eaf
plo
tis
use
d to
com
pare
tw
o se
ts o
f da
ta.I
nth
is t
ype
of p
lot,
the
leav
es f
or o
ne
set
of d
ata
are
on o
ne
side
of
the
stem
s,an
d th
e le
aves
for
th
e ot
her
set
of
data
are
on
th
e ot
her
sid
e of
th
e st
ems.
Tw
oke
ys t
o th
e da
ta a
re n
eede
d.
ELEC
TIO
NS
Use
th
e b
ack
-to-
bac
k s
tem
-an
d-l
eaf
plo
t of
th
e el
ecto
ral
vote
s ca
st b
y ea
ch s
tate
an
d t
he
Dis
tric
t of
Col
um
bia
for
th
eD
emoc
rati
c an
d R
epu
bli
can
can
did
ates
for
U.S
.pre
sid
ent
in 2
000.
2|0
�2
vote
s0|
3 �
3 vo
tes
1.W
hat
is
the
grea
test
nu
mbe
r of
ele
ctor
al v
otes
cas
t by
a s
tate
for
th
eD
emoc
rati
c ca
ndi
date
? th
e gr
eate
st n
um
ber
of e
lect
oral
vot
es c
ast
by a
stat
e fo
r th
e R
epu
blic
an c
andi
date
?54
;32
2.W
hic
h c
andi
date
rec
eive
d vo
tes
from
th
e gr
eate
r n
um
ber
of s
tate
s?th
e R
epu
blic
an c
and
idat
e
3.W
hic
h c
andi
date
rec
eive
d th
e gr
eate
r n
um
ber
of t
otal
vot
es?
the
Rep
ub
lican
can
did
ate
4.W
hat
is
the
diff
eren
ce b
etw
een
th
e n
um
ber
elec
tora
l vo
tes
cast
for
th
eca
ndi
date
s?5
vote
s
5.W
rite
a s
ente
nce
or
two
com
pari
ng
the
nu
mbe
r of
ele
ctor
al v
otes
cas
t fo
rth
e tw
o ca
ndi
date
s.S
amp
le a
nsw
er:T
he
Rep
ub
lican
can
did
ate
rece
ived
mo
re v
ote
s in
to
tal.
Th
e vo
tes
for
the
Rep
ub
lican
can
did
ate
cam
e fr
om
mo
re s
tate
s,bu
t fr
om
man
y st
ates
wit
hfe
wer
vo
tes
to c
ast
than
th
e st
ates
th
at c
ast
thei
r vo
tes
for
the
Dem
ocr
atic
can
did
ate.
Enric
hmen
tN
AM
E__
____
____
____
____
____
____
____
____
____
__D
ATE
___
____
____
___
PE
RIO
D
____
_
Lesson 2–5
Dem
ocra
tS
tem
Rep
ub
lica
n
23
34
44
57
78
00
11
25
82
3 3 4
0 1 2 3 4 5
33
33
34
44
55
56
67
88
88
89
91
12
33
41
52
Answers (Lessons 2-5 and 2-6)
An
swer
s
© Glencoe/McGraw-Hill A16 Mathematics: Applications and Concepts, Course 1
Prac
tice:
Wor
d Pr
oble
ms
Mea
n
©G
lenc
oe/M
cGra
w-H
ill88
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
AN
IMA
LSF
or E
xerc
ises
1–3
,use
th
e ta
ble
ab
out
bea
rs.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
1.Yo
u a
re w
riti
ng
a re
port
on
bea
rs.Y
ouar
e an
alyz
ing
the
data
on
hei
ghts
an
dw
eigh
ts i
n t
he
tabl
e ab
ove.
Fir
st l
ook
for
outl
iers
.Ide
nti
fy t
he
outl
ier
for
the
hei
ght
data
.Ide
nti
fy t
he
outl
ier
for
the
wei
ght
data
.n
on
e;1,
500
lb
2.F
ind
the
mea
n o
f th
e be
ar w
eigh
t da
taw
ith
an
d w
ith
out
the
outl
ier.
819
lb;
592
lb
3.D
escr
ibe
how
th
e ou
tlie
r af
fect
s th
em
ean
of
the
bear
wei
ght
data
.S
amp
le a
nsw
er:
Su
ch a
nex
trem
ely
hig
h o
utl
ier
cau
ses
the
mea
n o
f th
e d
ata
to b
eco
nsi
der
ably
hig
her
th
an t
he
aver
age
wei
gh
t o
f th
e m
ajo
rity
of
the
bea
rs.T
hu
s,th
e m
ean
isn
ot
rep
rese
nta
tive
of
the
dat
a.
4.W
OR
KC
arlo
s ea
rned
$23
,$29
,$25
,$1
6,an
d $1
7 w
orki
ng
at a
n i
ce c
ream
shop
aft
er s
choo
l.W
hat
is
the
mea
nam
oun
t h
e ea
rned
?$2
2
5.C
AR
ST
he
cost
of
a ta
nk
of g
as a
t n
ine
diff
eren
t ga
s st
atio
ns
is s
how
n b
elow
.W
hat
was
th
e m
ean
cos
t of
a t
ank
ofga
s?$1
9
Cos
t of
Gas
:$17
,$18
,$22
,$15
,$17
,$1
6,$2
5,$2
1,an
d $2
0
6.SC
HO
OL
Sal
ly r
ecei
ved
scor
es o
n m
ath
quiz
zes
as s
how
n b
elow
.Fin
d h
er m
ean
scor
e w
ith
an
d w
ith
out
both
ou
tlie
rs.
80;
89Q
uiz
Sco
res:
84,8
5,91
,81,
52,9
2,99
,91
,an
d 45
Bea
rA
vera
ge H
eigh
t (f
t)A
vera
ge W
eigh
t (l
b)
Ala
skan
Bro
wn
Bla
ckG
rizz
lyP
olar
8 6 7 7
1,50
033
858
885
0
Lesson 2–6
Prac
tice:
Ski
llsM
ean
©G
lenc
oe/M
cGra
w-H
ill87
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Fin
d t
he
mea
n f
or e
ach
set
of
dat
a.
1.6,
9,2,
4,3,
6,5
52.
25,1
8,14
,27,
25,1
4,18
,25,
2321
3.13
,6,7
,13,
69
4.8,
2,9,
4,6,
8,5
6
5.13
,7,1
7,19
,7,1
5,11
,712
6.1,
15,9
,12,
18,9
,5,1
4,7
10
7.28
,32,
23,4
3,32
,27,
21,3
430
8.30
,16,
29,3
2,14
,21,
2624
9.42
,35,
27,4
2,38
,35,
29,2
434
10.
157,
124,
157,
124,
157,
139
143
Iden
tify
th
e ou
tlie
r or
ou
tlie
rs i
n e
ach
set
of
dat
a.
11.
$40
12.
57
2|4
�24
WEA
THER
Use
th
e d
ata
in t
he
tab
le
that
sh
ows
dai
ly t
emp
erat
ure
s.
13.
Iden
tify
th
e ou
tlie
r.35
°
14.
Wh
at i
s th
e m
ean
of
the
data
wit
h t
he
outl
ier
incl
ude
d?63
°
15.
Wh
at i
s th
e m
ean
of
the
data
wit
hou
t th
e ou
tlie
r in
clu
ded?
70°
16.
How
doe
s th
e ou
tlie
r te
mpe
ratu
re a
ffec
t th
e m
ean
of
the
data
?S
ince
th
e o
utl
ier,
35°,
is m
uch
low
er t
han
th
e o
ther
tem
per
atu
res,
it lo
wer
s th
e m
ean
.Wit
h t
he
ou
tlie
r,th
e m
ean
,63
°,is
low
er t
han
th
e va
lues
of
mo
st o
f th
e d
ata.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Ste
mL
eaf
2 3 4 5
01
47
00
15
63
67
Pri
ceT
ally
Fre
qu
ency
$10
44
$20
55
$30
33
$40
11
Day
Tem
p.(
°F)
Mon
day
Tu
esda
yW
edn
esda
yT
hu
rsda
yF
rida
y
69 70 73 35 68
Answers (Lesson 2-6)
© Glencoe/McGraw-Hill A17 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill90
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Lin
gu
isti
c St
atis
tics
Lin
guis
tics
is t
he
stu
dy o
f h
um
an s
peec
h.T
he
acti
vity
on
th
is p
age
show
sth
e ty
pe o
f da
ta c
olle
ctio
n a
nd
anal
ysis
th
at m
igh
t be
don
e by
a l
ingu
ist
wh
ois
res
earc
hin
g th
e st
ruct
ure
of
the
En
glis
h l
angu
age.
All
qu
esti
ons
refe
r to
th
eP
ream
ble
to t
he
U.S
.Con
stit
uti
on,p
rin
ted
at t
he
bott
om o
f th
e pa
ge.
1.W
hic
h t
wo
con
son
ants
do
you
th
ink
appe
ar m
ost
ofte
n i
n t
he
Pre
ambl
e?S
ee s
tud
ents
’wo
rk.
2.W
hic
h v
owel
do
you
th
ink
appe
ars
mos
t of
ten
in
th
e P
ream
ble?
lea
st o
ften
?S
ee s
tud
ents
’wo
rk.
3.C
ompl
ete
this
tab
le b
y co
un
tin
g th
e oc
curr
ence
s of
eac
h l
ette
r.A
few
let
ters
hav
e be
en c
oun
ted
alre
ady,
to h
elp
you
get
sta
rted
.(H
int:
You
r to
tal
shou
ld b
e 26
8.)
4.W
hic
h t
wo
con
son
ants
act
ual
ly a
ppea
r m
ost
ofte
n i
n t
he
Pre
ambl
e?s
and
t5.
Fin
d th
e m
ean
fre
quen
cy f
or t
he
con
son
ants
.Wh
ich
tw
o co
nso
nan
ts o
ccu
rth
e cl
oses
t n
um
ber
of t
imes
to
this
mea
n?
abo
ut
7.6;
c an
d m
6.W
hic
h v
owel
act
ual
ly a
ppea
rs m
ost
ofte
n i
n t
he
Pre
ambl
e? l
east
oft
en?
e;u
7.F
ind
the
mea
n f
requ
ency
for
th
e vo
wel
s.W
hic
h v
owel
occ
urs
th
e cl
oses
tn
um
ber
of t
imes
to
this
mea
n?
21.6
;i
8.W
hic
h w
ord
do y
ou t
hin
k oc
curs
mos
t of
ten
in
th
e P
ream
ble?
V
erif
y yo
ur
answ
er.
See
stu
den
ts’w
ork
;“th
e”o
ccu
rs m
ost
fre
qu
entl
y.
Pre
amb
le t
o th
e C
onst
itu
tion
of
the
Un
ited
Sta
tes
of A
mer
ica
We
the
Peo
ple
of t
he
Un
ited
Sta
tes,
in o
rder
to
form
a m
ore
perf
ect
Un
ion
,est
abli
shju
stic
e,in
sure
dom
esti
c tr
anqu
ilit
y,pr
ovid
e fo
r th
e co
mm
on d
efen
se,p
rom
ote
the
gen
eral
wel
fare
,an
d se
cure
th
e bl
essi
ngs
of
libe
rty
to o
urs
elve
s an
d ou
r po
ster
ity,
do o
rdai
n a
nd
esta
blis
h t
his
Con
stit
uti
on f
or t
he
Un
ited
Sta
tes
of A
mer
ica.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Enric
hmen
t
Let
ter
Fre
qu
ency
Let
ter
Fre
qu
ency
Let
ter
Fre
qu
ency
a14
j1
s21
b4
k0
t29
c7
l9
u10
d11
m7
v2
e39
n17
w2
f9
o25
x0
g2
p6
y3
h9
q1
z0
i20
r20
Pre-
Act
ivit
yC
om
ple
te t
he
Min
i Lab
at
the
top
of
pag
e 76
in y
ou
r te
xtb
oo
k.W
rite
yo
ur
answ
ers
bel
ow
.
1.H
ow m
any
pen
nie
s ar
e in
eac
h c
up?
8
2.F
or t
he
five
qu
izze
s,yo
ur
aver
age
scor
e w
as _
____
__ p
oin
ts.
8
3.S
upp
ose
you
r te
ach
er g
ave
you
an
oth
er q
uiz
an
d yo
u s
core
d 14
poi
nts
.H
ow m
any
pen
nie
s w
ould
be
in e
ach
cu
p?9
Rea
din
g t
he
Less
on
4.L
ook
up
the
wor
d m
ean
in a
dic
tion
ary.
Wri
te t
he
mea
nin
g th
at f
its
the
way
th
e w
ord
is u
sed
in t
his
les
son
.S
amp
le a
nsw
er:
a va
lue
that
lies
wit
hin
a r
ang
e o
f va
lues
an
d is
co
mp
ute
d a
cco
rdin
g t
o a
pre
scri
bed
law
,fo
r ex
amp
le,a
rith
met
ic m
ean
(a
valu
e th
at is
com
pu
ted
by
div
idin
g t
he
sum
of
a se
t o
f te
rms
by t
he
nu
mb
er o
f te
rms)
Loo
k a
t th
e p
arag
rap
h b
elow
th
e ac
tivi
ty a
t th
e to
p o
f p
age
76 i
n y
our
text
boo
k.A
nu
mb
er t
hat
hel
ps
des
crib
e al
l of
th
e d
ata
in a
dat
a se
t is
an a
vera
ge.A
n a
vera
ge i
s al
so r
efer
red
to
as a
mea
sure
of
cen
tral
ten
den
cy.
5.Is
th
e m
ean
a g
ood
mea
sure
of
cen
tral
ten
den
cy w
hen
th
ere
is n
o ou
tlie
r?G
ive
an e
xam
ple.
Yes;
Sam
ple
an
swer
:O
ne
exam
ple
co
uld
be
the
dat
a in
th
e M
ini L
ab.L
oo
kin
g a
t al
l th
e va
lues
,8 is
ava
lue
in t
he
cen
ter
of
the
set.
6.Is
th
e m
ean
a g
ood
mea
sure
of
cen
tral
ten
den
cy w
hen
th
ere
is a
n o
utl
ier?
Giv
e an
exa
mpl
e.N
o;
Sam
ple
an
swer
:A
n o
utl
ier
cau
ses
the
mea
n t
o m
ove
away
fro
m t
he
cen
ter
of
the
dat
a in
th
ed
irec
tio
n o
f th
e o
utl
ier.
Hel
pin
g Y
ou
Rem
emb
er7.
Exp
lain
on
e pr
oble
m w
ith
usi
ng
the
mea
n a
s a
mea
sure
of
cen
tral
ten
den
cy.
Sam
ple
an
swer
:Wh
en u
sin
g t
he
mea
n a
s a
mea
sure
of
cen
tral
ten
den
cy,a
n o
utl
ier
can
sh
ift
the
mea
nfr
om
th
e ce
nte
r o
f th
e d
ata.
Lesson 2–6
Read
ing
to L
earn
Mat
hem
atic
sM
ean
©G
lenc
oe/M
cGra
w-H
ill89
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Answers (Lesson 2-6)
An
swer
s
© Glencoe/McGraw-Hill A18 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill92
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Fin
d t
he
mea
n,m
edia
n,m
ode,
and
ran
ge f
or e
ach
set
of
dat
a.
1.6,
9,2,
4,3,
6,5
2.13
,6,7
,13,
65;
5;6;
79;
7;6
and
13;
7
3.1,
15,9
,12,
18,9
,5,1
4,7
4.13
,7,1
7,19
,7,1
5,11
,710
;9;
9;17
12;
12;
7;12
5.3,
9,4,
3,9,
4,2,
3,8
6.25
,18,
14,2
7,25
,14,
18,2
5,23
5;4;
3;7
21;
23;
25;
13
7.8,
3,9,
4,6,
7,5
8.28
,32,
23,4
3,32
,27,
21,3
46;
6;n
o m
od
e;6
30;
30;
32;
22
9.15
7,12
4,15
7,12
4,15
7,13
910
.42
,35,
27,4
2,38
,35,
29,2
4
143;
148;
157;
3334
;35
;35
an
d 4
2;18
11.
Wri
te a
sen
ten
ce t
hat
des
crib
es h
ow t
he
data
ite
ms
in E
xerc
ise
5 va
ry.
Sam
ple
an
swer
:Th
e ra
ng
e,7,
is n
ot
larg
e,so
th
e d
ata
do
no
tva
ry g
reat
ly in
val
ue.
12.
Wh
y is
mod
e n
ot t
he
best
ch
oice
to
desc
ribe
th
e da
ta i
n E
xerc
ise
5?E
xpla
in.
Sam
ple
an
swer
:Th
e m
od
e,3,
is le
ss t
han
th
em
ajo
rity
of
the
dat
a in
th
e se
t.T
he
mea
n o
r m
edia
n w
ou
ldb
ette
r re
pre
sen
t th
e av
erag
e o
f th
e d
ata.
MU
SEU
MS
Use
th
e ta
ble
sh
owin
g th
e n
um
ber
of
vis
itor
s to
th
e ar
t m
use
um
eac
h m
onth
.
13.
Wh
at i
s th
e m
ean
of
the
data
?5
tho
usa
nd
vis
ito
rs
14.
Wh
at i
s th
e m
edia
n o
f th
e da
ta?
4 th
ou
san
d v
isit
ors
15.
Wh
at i
s th
e m
ode
of t
he
data
?3
tho
usa
nd
vis
ito
rs
16.
Wh
ich
mea
sure
of
cen
tral
ten
den
cy b
est
desc
ribe
s th
e da
ta?
Exp
lain
.S
amp
le a
nsw
er:T
he
med
ian
bec
ause
it is
clo
ser
in v
alu
e to
mo
st o
f th
e d
ata;
the
mea
n is
to
o h
igh
an
d t
he
mo
de
is t
oo
low
.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Ski
llsM
edia
n,M
od
e,an
d R
ang
e
Vis
tors
to
the
Art
Mu
seu
m (
thou
san
ds)
311
54
53
63
122
24
Lesson 2–7
©G
lenc
oe/M
cGra
w-H
ill91
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Th
e ta
ble
sh
ows
the
cost
s of
sev
en
dif
fere
nt
boo
ks.
Fin
d t
he
mea
n,
med
ian
,an
d m
ode
of t
he
dat
a.
mea
n:
��10 75 �
or 1
5
To
fin
d th
e m
edia
n,w
rite
th
e da
ta i
n o
rder
fro
m l
east
to
grea
test
.m
edia
n:1
1,13
,13,
14,1
6,16
,22
To
fin
d th
e m
ode,
fin
d th
e n
um
ber
or n
um
bers
th
at o
ccu
r m
ost
ofte
n.
mod
e:11
,13,
13,1
4,16
,16,
22
Th
e m
ean
is
$15.
Th
e m
edia
n i
s $1
4.T
her
e ar
e tw
o m
odes
,$13
an
d $1
6.
Fin
d t
he
ran
ge o
f th
e d
ata
in t
he
tab
le.
Th
en w
rite
a s
ente
nce
des
crib
ing
how
th
e d
ata
vary
.
Th
e gr
eate
st v
alu
e is
63.
Th
e le
ast
valu
e is
32.
So,
the
ran
ge i
s 63
°�
32°
or 3
1°.T
he
ran
ge i
s la
rge.
It t
ells
us
that
th
e da
ta v
ary
grea
tly
in v
alu
e.
Fin
d t
he
mea
n,m
edia
n,m
ode,
and
ran
ge o
f ea
ch s
et o
f d
ata.
1.14
,13,
14,1
6,8
2.29
,31,
14,2
1,31
,22,
2013
;14
;14
;8
24;
22;
31;
17
3.4.
73;
72;
72;
263
in.;
3 in
.;n
on
e;6
in.
Whe
reas
the
mea
sure
s of
cen
tral
ten
denc
y de
scrib
e th
e av
erag
e of
a s
et o
f da
ta,
the
ran
ge
of a
set
of
data
des
crib
es h
ow t
he d
ata
vary
.
22 �
13�
11�
16�
14�
13�
16�
��
��
7
The
med
ian
is t
he m
iddl
e nu
mbe
r of
the
dat
a pu
t in
ord
er,
or t
he m
ean
of t
he m
iddl
e tw
o nu
mbe
rs.
The
mo
de
is t
he n
umbe
r or
num
bers
tha
t oc
cur
mos
t of
ten.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
Med
ian
,Mo
de,
and
Ran
ge
Sn
owfa
ll (
in.)
26
54
30
1
Qu
iz S
core
s
7260
8068
7286
Tem
per
atu
re (
°F)
4032
5560
6350
Boo
k C
osts
($)
2213
1116
1413
16
Answers (Lesson 2-7)
© Glencoe/McGraw-Hill A19 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill94
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Pre-
Act
ivit
yC
om
ple
te t
he
acti
vity
at
the
top
of
pag
e 80
in y
ou
r te
xtb
oo
k.W
rite
you
r an
swer
s b
elo
w.
1.F
ind
the
mea
n w
ings
pan
.10
ft
2.L
ist
the
data
in
ord
er f
rom
lea
st t
o gr
eate
st.
6,9,
10,1
0,11
,12,
12
3.W
hic
h d
ata
are
in t
he
mid
dle
of t
he
arra
nge
d da
ta?
10
4.C
ompa
re t
he
nu
mbe
r th
at i
s in
th
e m
iddl
e of
th
e da
ta s
et t
o th
e m
ean
of
the
data
.T
he
valu
es a
re t
he
sam
e.
Rea
din
g t
he
Less
on
5.H
ow a
re m
ean
,med
ian
,an
d m
ode
sim
ilar
? H
ow a
re t
hey
dif
fere
nt?
Sam
ple
answ
er:
All
thre
e ar
e si
mila
r in
th
at t
hey
are
mea
sure
s o
f ce
ntr
alte
nd
ency
an
d in
dic
ate
cen
ters
of
dat
a se
ts;
they
are
dif
fere
nt
by t
hei
rd
efin
itio
ns.
Th
e m
ean
is f
ou
nd
by
div
idin
g t
he
sum
of
all t
he
valu
es b
yth
e n
um
ber
of
valu
es in
th
e se
t.T
he
med
ian
is t
he
mid
dle
nu
mb
er o
f an
ord
ered
set
.If
the
set
has
an
eve
n n
um
ber
of
valu
es,t
he
med
ian
is t
he
mea
n o
f th
e tw
o m
idd
le v
alu
es.T
he
mo
de
is t
he
nu
mb
er o
r n
um
ber
s th
ato
ccu
r m
ost
fre
qu
entl
y in
th
e se
t.L
ook
at
Exa
mp
le 3
at
the
bot
tom
of
pag
e 81
.Als
o,lo
ok a
t it
s op
enin
gst
atem
ent,
"Som
e av
erag
es m
ay d
escr
ibe
a d
ata
set
bet
ter
than
oth
erav
erag
es."
6.W
hic
h a
vera
ges
are
disc
uss
ed i
n t
he
exam
ple?
mea
n,m
edia
n,m
od
e
7.W
hat
is
cau
sin
g th
e m
ean
to
be s
o h
igh
?th
e o
utl
ier,
54
8.W
hat
if
ther
e w
ere
two
54s?
How
wou
ld t
hat
aff
ect
the
aver
ages
?S
amp
le a
nsw
er:
Bo
th t
he
mea
n a
nd
on
e m
od
e w
ou
ld b
e fa
r fr
om
th
e ce
nte
r o
f th
e d
ata.
Th
e m
edia
n w
ou
ld b
eco
me
6,w
hic
h is
sti
ll cl
ose
to
th
e ce
nte
r o
f m
ost
of
the
oth
er v
alu
es in
th
e se
t.9.
Doe
s th
is e
xam
ple
illu
stra
te i
ts o
pen
ing
stat
emen
t?ye
s
Hel
pin
g Y
ou
Rem
emb
er10
.Yo
u m
ay a
lrea
dy k
now
th
at a
med
ian
str
ip r
efer
s to
th
e co
ncr
ete
or
lan
dsca
ped
divi
der
that
ru
ns
dow
n t
he
cen
ter
of m
any
road
s.H
ow d
oes
this
ide
a of
med
ian
rel
ate
to t
he
mea
nin
g of
med
ian
in
th
is l
esso
n?
Sam
ple
answ
er:
A m
edia
n s
trip
is lo
cate
d in
th
e m
idd
le o
f a
road
,div
idin
g it
into
two
hal
ves.
Sim
ilarl
y,th
e m
edia
n o
f a
set
of
dat
a is
th
e m
idd
le v
alu
e,th
eva
lue
that
div
ides
th
e d
ata
into
tw
o h
alve
s.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Read
ing
to L
earn
Mat
hem
atic
sM
edia
n,M
od
e,an
d R
ang
e
©G
lenc
oe/M
cGra
w-H
ill93
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
SCIE
NC
EF
or E
xerc
ises
1–3
,use
Tab
le A
.For
Exe
rcis
es 4
–6,u
se T
able
B.
Tab
le A
sh
ows
the
nu
mb
er o
f d
ays
it t
ook
for
som
e se
eds
to g
erm
inat
eaf
ter
pla
nti
ng.
Tab
le B
sh
ows
how
tal
l th
e p
lan
ts w
ere
afte
r 60
day
s.
Tab
le A
Tab
le B
Prac
tice:
Wor
d Pr
oble
ms
Med
ian
,Mo
de,
and
Ran
ge
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–7
1.R
efer
to
Tab
le A
.You
are
doi
ng
som
eex
peri
men
ts w
ith
ger
min
atin
g se
eds.
You
are
pre
pari
ng
a re
port
on
you
rfi
ndi
ngs
to
a se
ed c
ompa
ny.
Wh
at a
reth
e m
ean
,med
ian
,an
d m
ode
of t
he
data
?18
day
s;16
day
s;15
day
s
2.U
se y
our
answ
er f
rom
Exe
rcis
e 1.
Wh
ich
mea
sure
of
cen
tral
ten
den
cybe
st d
escr
ibes
th
e da
ta?
Exp
lain
.S
amp
le a
nsw
er:
Med
ian
;th
em
edia
n is
clo
ser
in v
alu
e to
mo
re o
f th
e d
ata
than
th
e m
ean
or
the
mo
de.
Th
e o
utl
ier,
30,
mak
es t
he
mea
n t
oo
hig
h,a
nd
the
mo
de
is t
oo
clo
se t
o t
he
low
er e
nd
of
the
dat
a.
3.W
hat
is
the
ran
ge o
f th
e se
edge
rmin
atio
n d
ata?
Des
crib
e h
ow t
he
data
var
y.21
day
s;S
amp
lean
swer
:Th
e d
ata
vary
wid
ely
du
e to
ext
rem
ely
low
an
d h
igh
valu
es;
ho
wev
er,t
he
dat
a w
ith
inth
e m
idd
le v
alu
es a
re q
uit
esi
mila
r.
4.W
hat
are
th
e m
ean
,med
ian
,an
d m
ode
of t
he
plan
t h
eigh
t da
ta?
17 in
.;17
in.;
17 in
.
5.R
efer
to
you
r an
swer
in
Exe
rcis
e 4.
Wh
ich
mea
sure
of
cen
tral
ten
den
cybe
st d
escr
ibes
th
e da
ta?
Exp
lain
.S
amp
le a
nsw
er:
Sin
ce a
ll th
em
easu
res
are
the
sam
e,an
y o
fth
em d
escr
ibes
th
e d
ata
wel
l.
6.W
hat
is
the
ran
ge o
f th
e pl
ant
hei
ght
data
? D
escr
ibe
how
th
e da
ta v
ary.
8 in
.;S
amp
le a
nsw
er:T
he
dat
aar
e cl
ose
in v
alu
e an
d d
o n
ot
vary
gre
atly
.
Hei
ght
(in
.) o
f P
lan
ts
Aft
er 6
0 D
ays
1719
1317
2015
1721
14
Nu
mb
er o
f D
ays
for
See
ds
to G
erm
inat
e
1520
3015
169
2121
15
Answers (Lesson 2-7)
An
swer
s
© Glencoe/McGraw-Hill A20 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill96
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Th
e gr
aph
s at
th
e ri
ght
show
how
th
e co
st o
f a
mov
ie i
ncr
ease
d o
ver
tim
e.W
hic
h g
rap
hap
pea
rs t
o sh
ow t
hat
th
e co
st i
ncr
ease
d m
ore
qu
ick
ly?
Exp
lain
.
Bot
h g
raph
s sh
ow t
he
sam
e da
ta,b
ut
Gra
ph B
app
ears
to
show
th
e co
st
incr
easi
ng
mor
e qu
ickl
y.G
raph
A u
ses
asc
ale
of 2
an
d G
raph
B u
ses
a sc
ale
of 1
.
Ref
er t
o th
e ta
ble
.Th
e st
ore
says
th
e av
erag
e p
rice
of
an e
lect
ron
ic
pet
is
$12.
Exp
lain
how
usi
ng
this
av
erag
e to
att
ract
cu
stom
ers
wit
h
low
pri
ces
is m
isle
adin
g.
Ord
er t
he
data
fro
m l
east
to
grea
test
:12,
12,1
2,14
,15,
15,2
0,20
,21,
49.
mea
n:$
19m
edia
n:$
15m
ode:
$12
Th
e st
ore
use
d th
e m
ode
as t
he
aver
age.
Bec
ause
th
e m
ode
pric
e is
les
s th
an t
he
oth
erpr
ices
,it
is n
ot t
he
mos
t ac
cura
te a
vera
ge t
o u
se.
1.In
Exa
mpl
e 1,
how
cou
ld y
ou c
han
ge G
raph
A t
o ap
pear
to
show
th
at t
he
cost
ros
e m
ore
slow
ly?
Sam
ple
an
swer
:C
han
ge
the
scal
e to
3.
2.O
leta
’s t
est
scor
es i
n o
rder
fro
m l
east
to
grea
test
wer
e 19
,75,
76,8
2,83
.F
ind
the
mea
n,m
edia
n,a
nd
mod
e of
th
e da
ta.W
hic
h m
easu
re m
igh
t be
mis
lead
ing
in d
escr
ibin
g th
e av
erag
e n
um
ber
of p
oin
ts O
leta
ear
ned
.67
;76
;N
o m
od
e;th
e m
ean
is t
oo
low
bec
ause
it in
clu
des
th
eo
utl
ier
19.
Usi
ng a
n in
appr
opria
te m
easu
re o
f ce
ntra
l ten
denc
y ca
n ca
use
read
ers
to m
ake
a w
rong
con
clus
ion.
1999 2000 2001 2002
2003
3 2 145678910
Price ($)
Year
0
Mov
ie T
icke
tsGr
aph
B
1999 2000 2001 2002
2003
6 4 28101214161820
Price ($)
Year
0
Mov
ie T
icke
tsGr
aph
A
Gra
phs
can
lead
rea
ders
to
the
wro
ng c
oncl
usio
n ab
out
the
data
whe
n th
e nu
mbe
rs o
n ei
ther
sca
lear
e in
cons
iste
nt,
the
vert
ical
or
horiz
onta
l sca
le d
oes
not
star
t at
zer
o, o
r di
ffere
nt s
cale
s ar
e us
ed.
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Stud
y Gu
ide
and
Inte
rven
tion
An
alyz
ing
Gra
ph
s
Ele
ctro
nic
Pet
Pri
ces
($)
1415
1520
4921
1212
2012
©G
lenc
oe/M
cGra
w-H
ill95
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Puzz
ling
Ove
r D
ata
Eac
h p
uzz
le o
n t
his
pag
e co
nta
ins
an i
nco
mpl
ete
Clu
e:m
ean
�18
set
of d
ata.
Th
e cl
ues
giv
e yo
u i
nfo
rmat
ion
abo
ut
the
mea
n,m
edia
n,m
ode,
or r
ange
of
the
data
.D
ata:
12,1
7,18
,19,
19,
Wor
kin
g fr
om t
hes
e cl
ues
,you
can
dec
ide
wh
at
the
mis
sin
g da
ta i
tem
s m
ust
be.
For
exa
mpl
e,th
is
is h
ow y
ou m
igh
t so
lve
the
data
pu
zzle
at
the
righ
t.
Th
ere
are
6 it
ems
of d
ata.
Th
e m
ean
is
18,s
o th
e su
m o
f th
e da
ta m
ust
be
6 �
18 �
108.
Add
th
e gi
ven
dat
a:12
�17
�18
�19
�19
�85
.S
ubt
ract
fro
m 1
08:1
08�
85�
23.
So
the
com
plet
e se
t of
dat
a is
:12,
17,1
8,19
,19,
23
.
Fin
d t
he
mis
sin
g d
ata.
(Ass
um
e th
at t
he
dat
a it
ems
are
list
ed i
n o
rder
from
lea
st t
o gr
eate
st.)
1.C
lue:
mod
e�
82.
Clu
e:m
edia
n�
54.5
Dat
a:7,
7,8,
,,1
4D
ata:
36,4
0,49
,,6
5,84
3.C
lues
:m
ean
�27
4.C
lues
:m
edia
n�
120
mod
e�
30ra
nge
�46
Dat
a:10
,25,
27,
,30,
Dat
a:11
0,11
2,,1
24,1
36,
5.C
lues
:m
ean
�13
6.C
lues
:m
ean
�7
med
ian
�13
med
ian
�8.
5ra
nge
�13
mod
e�
10
Dat
a:,9
,12,
,18,
Dat
a:,4
,8,
,,
7.C
lues
:m
ean
�60
8.C
lues
:m
edia
n�
24m
ode
�52
mod
e�
28ra
nge
�28
ran
ge�
24
Dat
a:,5
2,,
,72,
78D
ata:
6,15
,,
,,
3028
2820
5652
50
1010
91
1914
6
156
116
4030
608
8
Enric
hmen
tN
AM
E__
____
____
____
____
____
____
____
____
____
__D
ATE
___
____
____
___
PE
RIO
D
____
_
Lesson 2–7
Answers (Lessons 2-7 and 2-8)
© Glencoe/McGraw-Hill A21 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill98
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
BU
SIN
ESS
For
Exe
rcis
es 1
an
d 2
,use
Gra
ph
A.F
or E
xerc
ises
3 a
nd
4,
use
Gra
ph
s B
an
d C
.Th
e gr
aph
s sh
ow t
he
nu
mb
er o
f D
VD
s an
dvi
deo
s so
ld b
y a
vid
eo s
tore
.
Gra
ph
AG
rap
h B
Gra
ph
C
Jan. Feb.
Mar.Ap
r.MayJu
ne
6 4 281012
Number Sold(thousands)
Mon
th
0
Sale
s
Jan. Feb.
Mar.Ap
r.MayJu
ne
3 2 1456
Number Sold(thousands)
Mon
th
0
Sale
s
Vide
osD
VDs
300
350
400
250 0
200
Number Sold
Mar
ch S
ales
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Prac
tice:
Wor
d Pr
oble
ms
An
alyz
ing
Gra
ph
s
1.A
bou
t h
ow m
any
tim
es f
ewer
DV
Ds
than
vid
eos
appe
ar t
o h
ave
been
sol
d?ab
ou
t tw
o a
nd
a h
alf
tim
es
2.E
xpla
in h
ow G
raph
A i
s m
isle
adin
g.S
amp
le a
nsw
er:T
he
vert
ical
scal
e is
inco
nsi
sten
t si
nce
itd
oes
no
t in
clu
de
50 t
hro
ug
h 1
50.
3.T
he
grap
hs
show
th
e sa
me
data
.Wh
ich
grap
h a
ppea
rs t
o sh
ows
that
th
en
um
ber
of D
VD
s an
d vi
deos
sol
din
crea
sed
mor
e ra
pidl
y? E
xpla
in.
Gra
ph
B;
the
scal
e is
dif
fere
nt.
4.T
he
stor
e ow
ner
is
tryi
ng
to g
et a
loa
nfr
om t
he
ban
k an
d w
ants
to
show
th
atbu
sin
ess
is g
ood.
Wh
ich
gra
ph s
hou
ldth
e st
ore
own
er s
how
th
e ba
nk?
Exp
lain
.G
rap
h B
;Th
e b
ank
ism
ore
like
ly t
o in
vest
mo
ney
in a
com
pan
y w
ith
rap
idly
incr
easi
ng
sale
s.
5.M
AR
KET
ING
A s
tore
adv
erti
ses
that
it
has
th
e lo
wes
t av
erag
e pr
ice
for
T-sh
irts
in
tow
n.F
ind
the
mea
n,
med
ian
,an
d m
ode
of t
he
pric
es.
T-S
hir
t P
rice
s:$1
4,$5
,$10
,$12
,$5,
$4,$
13$9
;$1
0;$5
6.M
AR
KET
ING
Use
you
r an
swer
fro
mE
xerc
ise
5.W
hic
h m
easu
re o
f ce
ntr
alte
nde
ncy
des
crib
es t
he
aver
age
T-sh
irt
pric
e th
e m
ost
accu
rate
ly?
Exp
lain
.S
amp
le a
nsw
er:
Med
ian
;Th
em
edia
n is
slig
htl
y cl
ose
r to
mo
sto
f th
e va
lues
th
an t
he
mea
n.T
he
mo
de
is a
mu
ch lo
wer
val
ue
than
th
e o
ther
val
ues
in t
he
dat
a se
t.
Prac
tice:
Ski
llsA
nal
yzin
g G
rap
hs
Lesson 2–8
©G
lenc
oe/M
cGra
w-H
ill97
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
AN
IMA
LSF
or E
xerc
ises
1–3
,use
th
e gr
aph
th
at s
how
s th
e w
eigh
t of
bea
rs.
1.A
bou
t h
ow m
any
tim
es h
eavi
er d
oes
a gr
izzl
y be
ar a
ppea
r to
be
than
a b
lack
bea
r?ab
ou
t fo
ur
tim
es h
eavi
er
2.E
xpla
in h
ow t
his
gra
ph i
s m
isle
adin
g.T
he
vert
ical
sc
ale
is in
con
sist
ent.
3.R
edra
w t
he
grap
h s
o th
at i
t is
not
so
mis
lead
ing.
4.B
USI
NES
ST
he
grap
hs
belo
w s
how
com
pan
y sa
les.
Wh
ich
gr
aph
mak
es t
he
sale
s ap
pear
to
be i
ncr
easi
ng
mor
e ra
pidl
y?
Exp
lain
.
Gra
ph
A;
Sam
ple
an
swer
:G
rap
h A
use
s a
scal
e o
f 2.
Gra
ph
B u
ses
a sc
ale
of
4.B
ecau
se t
he
inte
rval
is s
mal
ler,
the
sale
sin
Gra
ph
A a
pp
ear
to in
crea
se m
ore
rap
idly
.
BU
DG
ETS
Use
th
e ta
ble
th
at s
how
s th
e 20
03
bu
dge
ts f
or e
igh
t n
atio
nal
par
ks.
5.F
ind
the
mea
n,m
edia
n,a
nd
mod
e of
th
e da
ta.
$9,0
00,0
00;
$8,0
00,0
00;
$6,0
00,0
00
6.W
hic
h m
easu
re w
ould
be
mis
lead
ing
in d
escr
ibin
g th
e av
erag
e bu
dget
for
th
ese
park
s?E
xpla
in.
the
mo
de
bec
ause
it is
mu
ch lo
wer
in v
alu
e th
an m
ost
of
the
oth
er d
ata
7.W
hic
h m
easu
re d
escr
ibes
th
e da
ta m
ost
accu
rate
ly?
Exp
lain
.T
he
med
ian
or
the
mea
n b
ecau
se
thes
e va
lues
are
clo
se in
val
ue
to m
ost
of
the
dat
a.
1998
1999
2000
2001
2002
12
8 4162024
Users (millions)
Year
0
Com
pany
Sal
esGr
aph
B
1998
1999
2000
2001
2002
6 4 281012
Users (millions)
Year
0
Com
pany
Sal
esGr
aph
A
Griz
zly
Bea
rB
lack
Bea
r
300
400
500
600
700
200 0
100
Weight (lb)
Wei
ght o
f Bea
rsGr
aph
B
Griz
zly
Bea
rB
lack
Bea
r
500
600
700
400 0
300
Weight (lb)
Wei
ght o
f Bea
rsGr
aph
A
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Nat
ion
al P
ark
200
3 B
ud
get
Par
kB
ud
get
($)
Aca
dia
Cra
ter
Lak
eD
enal
iE
verg
lade
sM
amm
oth
Cav
eO
lym
pic
Gre
at S
mok
ies
Zio
n
6,00
0,00
04,
000,
000
11,0
00,0
0014
,000
,000
6,00
0,00
010
,000
,000
15,0
00,0
006,
000,
000
Answers (Lesson 2-8)
An
swer
s
© Glencoe/McGraw-Hill A22 Mathematics: Applications and Concepts, Course 1
©G
lenc
oe/M
cGra
w-H
ill10
0M
athe
mat
ics:
App
licat
ions
and
Con
cept
s, C
ours
e 1
Be
a D
ata
Det
ecti
ve!
Eac
h o
f th
e gr
aph
s on
th
is p
age
has
bee
n d
raw
n i
nco
rrec
tly.
Can
you
det
ect
the
mis
take
?
1.2.
Mis
take
:M
issi
ng
info
rmat
ion
M
ista
ke:
Inte
rval
fro
m 1
800–
1900
abo
ut
wh
at e
ach
sym
bo
l mea
ns.
is n
ot
equ
al t
o o
ther
inte
rval
s.
3.4.
Mis
take
:L
ine
gra
ph
is n
ot
Mis
take
:A
xes
are
reve
rsed
.ap
pro
pri
ate
for
thes
e d
ata.
5.D
raw
a c
orre
cted
gra
ph f
or E
xerc
ise
3.6.
Dra
w a
cor
rect
ed g
raph
for
Exe
rcis
e 4.
24681012
1994
1996
1998
2000
Year
Number ofAutomobiles
(millions)
Reta
il Sa
les
of A
utom
obile
s
020406080100
Supe
rior
Mic
higa
nH
uron
Erie
Ont
ario
Lake
Square Miles(thousands)
Are
as o
f the
Gre
at L
akes
1994
1996
1998
2000
2002
8,990
,000
8,526
,000
8,142
,000
8,846
,000
Reta
il Sa
les
of A
utom
obile
s
Num
ber o
f Aut
omob
iles
Year
020406080100
Supe
rior
Michiga
n
Huron
Erie
Ontari
o
Lake
Square Miles(thousands)
Are
as o
f the
Gre
at L
akes
050100
150
200
250
300 18
0019
0019
2519
5019
7520
00(p
roje
cted
)
Population(millions)
Year
Unite
d St
ates
Pop
ulat
ion
Fict
ion
Bio
grap
hy
Refe
renc
e
Oth
er
Wee
kly
Book
Sal
es
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Enric
hmen
t
©G
lenc
oe/M
cGra
w-H
ill99
Mat
hem
atic
s:A
pplic
atio
ns a
nd C
once
pts,
Cou
rse
1
Pre-
Act
ivit
yC
om
ple
te t
he
acti
vity
at
the
top
of
pag
e 86
in y
ou
r te
xtb
oo
k.W
rite
you
r an
swer
bel
ow
.
1.S
upp
ose
you
loo
k at
th
e le
ngt
hs
of t
he
bars
th
at r
epre
sen
t D
an M
arin
o an
d T
erry
Bra
dsh
aw.Y
ou m
igh
t co
ncl
ude
th
at D
an M
arin
o th
rew
th
ree
tim
es a
s m
any
tou
chdo
wn
pas
ses
as T
erry
Bra
dsh
aw.W
hy
is t
his
co
ncl
usi
on i
nco
rrec
t?T
he
bar
th
at r
epre
sen
ts D
an M
arin
o is
th
ree
tim
es a
slo
ng
as
the
bar
th
at r
epre
sen
ts T
erry
Bra
dsh
aw.H
ow
ever
,by
com
par
ing
the
nu
mb
ers,
you
fin
d t
hat
Dan
Mar
ino
th
rew
tw
ice
as m
any
tou
chd
ow
np
asse
s as
Ter
ry B
rad
shaw
.
Rea
din
g t
he
Less
on
For
Exe
rcis
es 2
–4,l
ook
at
the
firs
t se
nte
nce
bel
ow t
he
acti
vity
at
the
top
of
pag
e 86
:“G
rap
hs
let
read
ers
anal
yze
and
in
terp
ret
dat
a ea
sily
.”
2.L
ook
in a
dic
tion
ary
for
mea
nin
g of
th
e w
ord
anal
yze.
Wri
te a
def
init
ion
that
fit
s th
e se
nte
nce
just
qu
oted
.S
amp
le a
nsw
er:
to e
xam
ine
ind
etai
l so
as
to d
eter
min
e th
e n
atu
re o
r te
nd
enci
es o
f 3.
Do
the
sam
e fo
r th
e w
ord
inte
rpre
t.W
rite
a d
efin
itio
n t
hat
fit
s th
ese
nte
nce
just
qu
oted
.S
amp
le a
nsw
er:
to e
xpla
in t
he
mea
nin
g o
f 4.
Wh
y is
it
impo
rtan
t to
an
alyz
e as
wel
l as
in
terp
ret
data
in
a g
raph
?S
amp
le a
nsw
er:
Bec
ause
as
the
exam
ple
s sh
ow
,gra
ph
s ca
nb
e m
isle
adin
g.O
nly
by
anal
yzin
g t
he
dat
a th
at is
bei
ng
gra
ph
ed a
nd
ho
w t
he
dat
a is
gra
ph
ed c
an s
om
eon
e av
oid
inte
rpre
tin
g t
he
dat
a in
corr
ectl
y if
it is
gra
ph
ed in
am
isle
adin
g w
ay.
5.W
hy
is t
he
grap
h i
n t
he
acti
vity
at
the
top
of p
age
86 m
isle
adin
g?b
ecau
se t
he
ho
rizo
nta
l sca
le d
oes
no
t st
art
at 0
6.O
n a
sep
arat
e sh
eet
of p
aper
,red
raw
th
e gr
aph
in
th
e ac
tivi
ty a
t th
e to
pof
pag
e 86
to
corr
ect
the
prob
lem
.Do
the
len
gth
s of
th
e M
arin
o an
dB
rads
haw
bar
s re
pres
ent
mor
e cl
osel
y th
e re
lati
onsh
ip b
etw
een
tou
chdo
wn
pas
ses
actu
ally
th
row
n b
y th
ese
play
ers?
See
stu
den
ts’w
ork
;ye
s
Hel
pin
g Y
ou
Rem
emb
er7.
Loo
k u
p th
e w
ord
mis
lead
in a
dic
tion
ary.
Wri
te t
he
defi
nit
ion
her
e.T
hen
te
ll h
ow i
t is
eas
y fo
r a
grap
h t
o m
isle
ad.
Sam
ple
an
swer
:to
lead
in a
wro
ng
dir
ecti
on
;It
is e
asy
for
a g
rap
h t
o m
isle
adb
ecau
se w
e o
ften
do
no
t st
ud
y a
gra
ph
clo
sely
.We
just
fo
rmfi
rst
imp
ress
ion
s fr
om
wh
at w
e se
e in
th
e vi
sual
asp
ects
of
the
gra
ph
.
Read
ing
to L
earn
Mat
hem
atic
sA
nal
yzin
g G
rap
hs
NA
ME
____
____
____
____
____
____
____
____
____
____
DAT
E _
____
____
____
_P
ER
IOD
__
___
Lesson 2–8
Answers (Lesson 2-8)
An
swer
s
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B:
1.
2.
3.
4.
5.
7.
8. G
A
C
I
B
I
D
See students’ work.
H
B
H
C
F
C
G
D
I
C
I
C
G
A
H
C
G
A
H
A
Chapter 2 Assessment Answer KeyForm 1 Form 2APage 101 Page 102 Page 103
(continued on the next page)
© Glencoe/McGraw-Hill A23 Mathematics: Applications and Concepts, Course 1
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B: 3, 3, and 9
H
C
G
D
G
B
H
A
H
A
H
A
G
B
G
B
H
C
G
C
4, 4, and 7
H
B
I
A
G
A
H
A
H
D
H
B
Chapter 2 Assessment Answer KeyForm 2A Form 2BPage 104 Page 105 Page 106
© Glencoe/McGraw-Hill A24 Mathematics: Applications and Concepts, Course 1
An
swer
s
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B:1, 2, 3, 4, 5, 6, 7, 8, 9Sample answer:
Graph A: inconsistentvertical scale;
Graph B: The vertical scale starts at 9.
Graph A
Graph B
Sample answer: about$300 in August; by
extending the line onthe graph
February
Jan.Fe
b.Mar. Ap
r.May
June Ju
lyAu
g.
150
100
50
200
250
300
350
Tota
l ($)
Month
0
Ella's Savings
86; 87
30
10
Sample answer:mode; yes, because
the mode is at the lowend of the data set
$14; the outlier makes the mean higher.
$49
About twice as manypeople like mushroom
as like onion as apizza topping.
mushroom andsausage
pepperoni
Hattie received twicethe votes Mia did.
TedAliMia
3
4
2
0
1
5
6
7
8
Vote
s
PersonHattie
Best Costume
Ali
Chapter 2 Assessment Answer KeyForm 2CPage 107 Page 108
© Glencoe/McGraw-Hill A25 Mathematics: Applications and Concepts, Course 1
Votes
Person Tally Frequency
Mia 3 3
Ali 52 7
Ted 4 4Hattie 51 6
Stem Leaf
6789
6 82 3 9 91 5 7 7 70 1 2 5 6
8 | 5 � 85
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B:1, 2, 3, 4, 5, 6, 7Sample answer:
Graph A: The verticalscale is inconsistent.Graph B: The vertical
scale starts at 6.
Graph B
Graph A
Sample answer: about $250 in August; by
extending the line onthe graph until
reaching a verticalposition of August
April
Jan.Fe
b.Mar. Ap
r.May
June Ju
lyAu
g.
150
100
50
200
250
300
350To
tal (
$)
Month
0
Ebony's Savings
83; 78
30
10
Sample answer:mode; yes, because
the mode is at the lowend of the data set
$8; Since the outlier isgreater than the other
values, the mean isgreater and not veryrepresentative of the
data set.
$33
About twice as manypeople chose cats
as chose monkeys asa favorite animal.
cow and rabbit
dog
Aki received three times more votes than
Miguel did.
TansyAkiMiguel
3
4
2
0
1
5
6
7
8
Vote
s
PersonHanna
Best Costume
Aki
Chapter 2 Assessment Answer KeyForm 2DPage 109 Page 110
© Glencoe/McGraw-Hill A26 Mathematics: Applications and Concepts, Course 1
Votes
Person Tally Frequency
Miguel 2 2
Aki 51 6
Tansy 52 7Hannah 5 5
Stem Leaf
6789
8 92 8 8 80 2 4 7 7 91 2 5 8
8 | 4 � 84
An
swer
s
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
B: mississippi
The mean, 4, is mostrepresentative of thedata, since the mode and the median are
both to the lower endof the data set.
Sample answer: 68,68, 80, 81, and 98
Oct. Dec. Feb. Apr. June
150
175
Aver
age
per D
ay
Month
0
25
50
75
100
125
Cafeteria Lunches
because the vertical scale isnot consistent
1998
1990
mean, 82; It’s the highest of the
three averages.
13
The mean is themeasure that is most misleading, since it isgreatly increased by
the outlier.
15; 15
43; 16
BethelKingSalmon
NomeBettles
80
40
60
100
0
20
120
140
160
Inch
es
Alaskan City
Yakutat
Annual Precipitation
92%
33%
25%
67%
From the frequencytable you cannot tell
whether anyonescored 110 points.
14
4
Chapter 2 Assessment Answer KeyForm 3Page 111 Page 112
© Glencoe/McGraw-Hill A27 Mathematics: Applications and Concepts, Course 1
Stem Leaf1112131415
0 80 0 5
5 6 6 6 912 | 0 � 120
© Glencoe/McGraw-Hill A28 Mathematics: Applications and Concepts, Course 1
Chapter 2 Assessment Answer KeyPage 113, Extended Response Assessment
Scoring Rubric
Level Specific Criteria
4 The student demonstrates a thorough understanding of the mathematicsconcepts and/or procedures embodied in the task. The student hasresponded correctly to the task, used mathematically sound procedures,and provided clear and complete explanations and interpretations. Theresponse may contain minor flaws that do not detract from thedemonstration of a thorough understanding.
3 The student demonstrates an understanding of the mathematics conceptsand/or procedures embodied in the task. The student’s response to thetask is essentially correct with the mathematical procedures used and theexplanations and interpretations provided demonstrating an essential butless than thorough understanding. The response may contain minor errorsthat reflect inattentive execution of the mathematical procedures orindications of some misunderstanding of the underlying mathematicsconcepts and/or procedures.
2 The student has demonstrated only a partial understanding of themathematics concepts and/or procedures embodied in the task. Althoughthe student may have used the correct approach to obtaining a solution ormay have provided a correct solution, the student’s work lacks an essentialunderstanding of the underlying mathematical concepts. The responsecontains errors related to misunderstanding important aspects of the task,misuse of mathematical procedures, or faulty interpretations of results.
1 The student has demonstrated a very limited understanding of themathematics concepts and/or procedures embodied in the task. Thestudent’s response to the task is incomplete and exhibits many flaws.Although the student has addressed some of the conditions of the task, thestudent reached an inadequate conclusion and/or provided reasoning thatwas faulty or incomplete. The response exhibits many errors or may beincomplete.
0 The student has provided a completely incorrect solution oruninterpretable response, or no response at all.
An
swer
s
© Glencoe/McGraw-Hill A29 Mathematics: Applications and Concepts, Course 1
Chapter 2 Assessment Answer Key Page 113, Extended Response Assessment
Sample Answers
1.
2. a.
b. The scale includes the number ofstudents getting each grade. Theinterval is 2 in order to make all datafit easily on the graph.
c. The graph shows how many studentsgot each grade. It compares thedifferent grades.
d. The number of students with a gradeof A is the same as the number witha grade of D. It is twice as many asthe number of students with grade of F.
e. The interval is inconsistent.
3. a.
b. The scale is 0 to 25. The interval is 5.These were chosen to make thegraph a manageable size.
c. The graph shows the change in salesof bicycles over a few years.
d. The sales went down slightly, wentback up to where they started, thenincreased steadily at the same rate.
e. Bicycles sold should be about 25,000,which can be found by extending theline until reaching a vertical positionof 2003.
f. See students’ work.
4. a.
b. The data is clustered between 66 and 98.
c. mean: 80; median: 82; mode: 82;range: 64
d. 34 is an outlier. Without the outlier,the mean is 82. The outlier bringsthe mean down.
1998
1999
2000
2001
2002
2003
2004
15
10
5
20
25
Num
ber o
f Bic
ycle
s (
thou
sand
s)
Year
0
Bicycle Sales
FCBA
10
6
8
12
0
4
Num
ber o
f Stu
dent
s
GradesD
Students Grades,
FCBA
8
4
6
10
0
2
12
Num
ber o
f Stu
dent
s
GradesD
Students Grades,
In addition to the scoring rubric found on page A28, the following sample answers may be used as guidance in evaluating extended response assessment items.
Students’ Grades
Grade Tally Frequency
A 4 4
B 51 6
C 55 10
D 4 4
F 2 2
Stem Leaf3456789
4
6 82 6 6 6 8 8 80 2 2 2 2 4 4 6 80 2 4 4 8 5|6 � 56
1. median
2. data
3. circle graph
4. interval
5. outliers
6. mode
7. scale
8. line graph
9. stem-and-leaf plot
10. average
11. Sample answer:involves collecting,organizing,analyzing, andpresenting data
12. the sum of thepieces of data in aset divided by thenumber of pieces ofdata
1.
2.
3.
4.
5.
Quiz (Lessons 2-3 and 2-4)
Page 115
1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
Quiz (Lessons 2-7 and 2-8)
Page 116
1.
2.
3.
4.
5. The vertical scale starts at 70 rather
than at 0.
The mean, 72; it islowered by the outlier
Yes, if the median fallsat the lowest end of
the data set.
Yes, since no range isspecified.
C
$10
$14
6
$149
about 20° warmer
In March it was about40° in Denver and
about 65° in Austin.
33%
math and gym
math
Sales increased fromJan. to Apr.,
decreased rapidlyfrom Apr. to May, then
increased from May to June.
5; The numbers in the data set range from 1
to 25
Nearly twice as many students scored a B
as scored an A.
CBA
6
8
4
0
2
10
Stud
ents
GradeD
Students' Math Scores
See students’ work.
Chapter 2 Assessment Answer KeyVocabulary Test/Review Quiz (Lessons 2-1 and 2-2) Quiz (Lessons 2-5 and 2-6)
Page 114 Page 115 Page 116
© Glencoe/McGraw-Hill A30 Mathematics: Applications and Concepts, Course 1
Stem Leaf6789
6 73 6 6 8 92 2 3 3 40 1 3 8
7|8 � 78
An
swer
s
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
Mode; the mode fallsat the low end of thedata set and is not as representative of thedata as the mean or
median.
58; 66; 22
67
Sample answer: 86
656055
7075808590
Scor
e
Test
0
Lin's Test Scores
1 2 3 4 5 6
Sample answer: Start the vertical scale at
4 instead of 0.
12-1310-118-9
6
8
4
0
2
10
12
Num
ber
Children at the Movie
Age
16 children
134
53; 125
composite
Wyoming has morethan twice as many
wild horses asCalifornia.
California and Utah
College costs increased from 1970
to 2000.
1970
1980
1990
2000
1,500
1,000
500
2,000
2,500
3,000
3,500
4,000
Tuiti
on
Year
0
Tuitions and Fees at 4-year U.S. Colleges and Institutions
H
B
H
B
Chapter 2 Assessment Answer KeyChapter 2 Mid-Chapter Test Chapter 2 Cumulative ReviewPage 117 Page 118
© Glencoe/McGraw-Hill A31 Mathematics: Applications and Concepts, Course 1
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12. 13.
14. a. 15 cm
b. at the end of the sixth month
c. the fifth month
d. Sample answer: At the end ofthe tenth month; by extendingthe graph until reaching ahorizontal position of 26
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
42
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
6
8 � 8 � 8; 512
0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9
12
DCBA
IHGF
DCBA
IHGF
DCBA
IHGF
DCBA
IHGF
DCBA
Chapter 2 Assessment Answer KeyStandardized Test PracticePage 119 Page 120
© Glencoe/McGraw-Hill A32 Mathematics: Applications and Concepts, Course 1
An
swer
s
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32. median; It is closer to more of the data
values.
23
2
4
4
25
7
About twice as manystudents ride with a parent as take the
bus.
ride with parent
Sample answer: $220
May
Apr.
MayJu
ne July
Aug.
150
100
50
200
250
Dolla
rs
Month
0
Eva's Savings
Sample answer: Make the numbers on the
vertical scaleinconsistent.
More than three times as many students got
a B as got a C.
CBA
6
8
4
0
2
10
12
Num
ber
Math Scores
Score
B
432 cm2
1416
415
1511
15; 162; 36
2 � 2 � 3 � 33 � 3 � 7
compositeprime
2 and 4; even
12 laps
Chapter 2 Assessment Answer KeyUnit 1 TestPage 121 Page 122
© Glencoe/McGraw-Hill A33 Mathematics: Applications and Concepts, Course 1
MathScore Tally Frequency
ABC
52
55
3
7103