our learning goal is to able to collect and display data. learning goal assignments: 1.make a table...
TRANSCRIPT
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Our learning goal is to able to collect and display data.
Learning Goal Assignments:
1.Make a Table
2.Range, Mean, Median, and Mode
3.Additional Data and Outliers
4.Bar Graphs
5.Frequency Tables and Histograms
6.Ordered Pairs
7.Line Graphs
8.Misleading Goals
9.Stem-and-Leaf Plots
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Learning Goal Assignment
Learn to organize data in frequency tables and histograms.
Course 1
6-5 Frequency Tables and Histograms
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6th Grade Math HOMEWORK
Page 292#5-8
Course 1
6-5 Frequency Tables and Histograms
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6-5 Frequency Tables and Histograms
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
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Warm UpCreate a bar graph of the data.
Course 1
6-5 Frequency Tables and Histograms
Favorite rides at fair:Ferris wheel = 5, loop the loop = 4, merry-go-round = 3, bumper cars = 7, sit and spin = 9
Favorite Rides at Fair
0
2
4
6
8
10
Ferris Wheel Loop the loop Merry-go-round
Bumper cars Sit and spin
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Problem of the Day
A set of 7 numbers has a mean of 36, a median of 37, a mode of 37, and a range of 6. What could the 7 numbers be?
Possible answer: 33, 33, 36, 37, 37, 37, 39
Course 1
6-5 Frequency Tables and Histograms
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Learning Goal Assignment
Learn to organize data in frequency tables and histograms.
Course 1
6-5 Frequency Tables and Histograms
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Vocabulary
frequency tablecumulative frequencyhistogram
Insert Lesson Title Here
Course 1
6-5 Frequency Tables and Histograms
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Course 1
6-5 Frequency Tables and HistogramsAdditional Example 1: Making a Tally Table
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do most students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Make a tally table to organize the data.
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Course 1
6-5 Frequency Tables and HistogramsAdditional Example 1 Continued
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Step 1: Make a column for each fingerprint pattern.
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Course 1
6-5 Frequency Tables and HistogramsAdditional Example 1 Continued
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Step 1: Make a column for each fingerprint pattern.
Step 2: For each fingerprint, make a tally mark in the appropriate column.
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Course 1
6-5 Frequency Tables and HistogramsAdditional Example 1 Continued
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Step 1: Make a column for each fingerprint pattern.
Step 2: For each fingerprint, make a tally mark in the appropriate column.
Number of Fingerprint Patterns
Whorl Arch Loop
l l l l l l l l l l l l l
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Course 1
6-5 Frequency Tables and HistogramsAdditional Example 1 Continued
Students in Mr. Ray’s class recorded their fingerprint patterns. Which type of pattern do more students in Mr. Ray’s class have?
whorl loop whorl loop
arch arch loop whorl
loop arch whorl arch
arch whorl arch loop
Number of Fingerprint Patterns
Whorl Arch Loop
l l l l l l l l l l l l l
Most students in Mr. Ray’s class have an arch fingerprint.
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Course 1
6-5 Frequency Tables and Histograms
A group of four tally marks with a line through it means five. llll = 5 llll llll = 10
Reading Math
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Course 1
6-5 Frequency Tables and HistogramsTry This: Example 1
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’s class have?
Make a tally table to organize the data.
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
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Course 1
6-5 Frequency Tables and HistogramsTry This: Example 1 Continued
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’s class have?
Step 1: Make a column for each fingerprint pattern.
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
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Course 1
6-5 Frequency Tables and HistogramsTry This: Example 1 Continued
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’s class have?
Step 1: Make a column for each fingerprint pattern.
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
Step 2: For each fingerprint, make a tally mark in the appropriate column.
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Course 1
6-5 Frequency Tables and HistogramsTry This: Example 1 Continued
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’s class have?
Step 1: Make a column for each fingerprint pattern.
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
Step 2: For each fingerprint, make a tally mark in the appropriate column.
Number of Fingerprint Patterns
Whorl Arch Loop
l l l l l l l l l l l l l l
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Course 1
6-5 Frequency Tables and HistogramsTry This: Example 1 Continued
Students in Ms. Gracie’s class recorded their fingerprint patterns. Which type of pattern do more students in Ms. Gracie’s class have?
whorl loop whorl loop
arch whorl loop whorl
loop whorl whorl arch
arch whorl arch loop
Number of Fingerprint Patterns
Whorl Arch Loop
l l l l l l l l l l l l l l
Most students in Ms. Gracie’s class have a whorl fingerprint.
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Course 1
6-5 Frequency Tables and Histograms
A frequency table tells the number of times an event, category, or group occurs. The cumulative frequency column shows a running total of all frequencies.
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Course 1
6-5 Frequency Tables and Histograms
Additional Example 2: Making a Cumulative Frequency Table
Step 1: Make a row for each pattern.
Step 2: The frequency is how many times each pattern occurred.
Number of Fingerprint Patterns
Fingerprint Pattern Frequency Cumulative Frequency
Whorl
Arch
Loop
Step 3: Find the cumulative frequency for each row by adding all frequency values above or in that row.
6
5
11
16
5 5
Use the tally table in Additional Example 1 to make a cumulative frequency table.
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Course 1
6-5 Frequency Tables and Histograms
Try This: Additional Example 2
Step 1: Make a row for each pattern.
Step 2: The frequency is how many times each pattern occurred.
Number of Fingerprint Patterns
Fingerprint Pattern Frequency Cumulative Frequency
Whorl
Arch
Loop
Step 3: Find the cumulative frequency for each row by adding all frequency values above or in that row.
4
5
11
16
7 7
Use the tally table in Try This: Example 1 to make a cumulative frequency table.
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Course 1
6-5 Frequency Tables and Histograms
Additional Example 3: Making a Frequency Table with Intervals
Use the data in the table to make a frequency table with intervals.
Number of Pages Read per Student Last Weekend
12 15 40 19 7
5 22 34 37 18Step 1: Choose equal intervals.
Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” row.
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Course 1
6-5 Frequency Tables and Histograms
Additional Example 3 Continued
Number of Pages Read per Student Last Weekend
Number 1–10 11–20 21–30 31–40Frequency
This table shows that 2 students read between 1 and 10 pages, 4 students read between 11 and 20 pages, and so on.
2 4 1 3
Number of Pages Read per Student Last Weekend
12 15 40 19 7
5 22 34 37 18
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Course 1
6-5 Frequency Tables and Histograms
Try This: Example 3
Use the data in the table to make a frequency table with intervals.
Number of Pages Read per Student Last Weekend
17 29 9 19 7
5 27 34 21 38
Step 1: Choose equal intervals.
Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” row.
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Course 1
6-5 Frequency Tables and Histograms
Try This: Example 3 Continued
Number of Pages Read per Student Last Weekend
Number 1–10 11–20 21–30 31–40Frequency
This table shows that 3 students read between 1 and 10 pages, 2 students read between 11 and 20 pages, and so on.
3 2 3 2
Number of Pages Read per Student Last Weekend
17 29 9 19 7
5 27 34 21 38
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Course 1
6-5 Frequency Tables and Histograms
A histogram is a bar graph that shows the number of data items that occur within each interval.
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Course 1
6-5 Frequency Tables and Histograms
Additional Example 4: Making a Histogram
Use the frequency table in Additional Example 3 to make a histogram.
Step 1: Choose an appropriate scale and interval.
Step 2: Draw a bar for the number of students in each interval. The bars should touch but not overlap.
Step 3: Title the graph and label the axes.
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Course 1
6-5 Frequency Tables and Histograms
Try This: Example 4
Use the frequency table in Try This: Example 3 to make a histogram.
Step 1: Choose an appropriate scale and interval.
Step 2: Draw a bar for the number of students in each interval. The bars should touch but not overlap.
Step 3: Title the graph and label the axes.
0
1
2
3
4
1- 10 11- 20 21- 30 31- 40
Number of Pages Read per Student Last Weekend
Number of Pages
Stu
den
ts
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Lesson Quiz: Part 1
1. Students listed the number of days they spent on vacation in one year. Make a tally table with intervals of 5.
2, 18, 5, 15, 7, 10, 1, 10, 4
16, 7, 11, 17, 3, 8, 14, 13, 10
Insert Lesson Title Here
Course 1
6-5 Frequency Tables and Histograms
Number of Days Spent on Vacation
1–5 6–10 11–15 16–20
|||| |||| | |||| |||
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Lesson Quiz
2. Use your tally table from problem 1 to make a frequency and cumulative frequency table.
Insert Lesson Title Here
Course 1
6-5 Frequency Tables and Histograms
Number of Days Spent on Vacation
Number of Days FrequencyCumulative Frequency
1–5 5 5
6–10 6 11
11–15 4 15
16–20 3 18