6-5 frequency tables and histograms course 1 warm up warm up lesson presentation lesson presentation...

6-5 Frequency Tables and Histograms

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Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpCreate a bar graph of the data.

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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

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

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Learn to organize data in frequency tables and histograms.

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Vocabulary

frequency tablecumulative frequencyhistogram

Insert Lesson Title Here

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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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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?





Step 1: Make a column for each fingerprint pattern.

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Step 2: For each fingerprint, make a tally mark in the appropriate column.

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A group of four tally marks with a line through it means five. llll = 5 llll llll = 10

Reading Math

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Step 2: For each fingerprint, make a tally mark in the appropriate column.

Number of Fingerprint Patterns

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6-5 Frequency Tables and HistogramsTry This: Example 1

Students in Ms. Gracie’s class recorded their pets. Which type of pets do more students in Ms. Gracie’s class have?

Make a tally table to organize the data.

dog cat dog cat

fish dog cat dog

cat dog dog fish

fish dog fish cat

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6-5 Frequency Tables and HistogramsTry This: Example 1 Continued

Students in Ms. Gracie’s class recorded their pets. Which type of pet do more students in Ms. Gracie’s class have?

Step 1: Make a column for each pet pattern.

dog cat dog cat

fish dog cat dog

cat dog dog fish

fish dog fish cat

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Students in Ms. Gracie’s class recorded their pet. Which type of pet do more students in Ms. Gracie’s class have?

Step 1: Make a column for each pet.

Step 2: For each pet, make a tally mark in the appropriate column.

dog cat dog cat

fish dog cat dog

cat dog dog fish

fish dog fish cat

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Step 1: Make a column for each pet.

Step 2: For each pet, make a tally mark in the appropriate column.

Number of Pets

dog cat dog cat

fish dog cat dog

cat dog dog fish

fish dog fish cat

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Number of Pets

Dog Fish Cat

7 4 5

Most students in Ms. Gracie’s class have a dog.

dog cat dog cat

fish dog cat dog

cat dog dog fish

fish dog fish cat

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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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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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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.


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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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 Pets

Pet Frequency Cumulative Frequency

Dog

Fish

Dog

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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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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Additional Example 3 Continued


Number

Frequency

This table shows that 2 students read between 1 and 10 pages, 4 students read between 11 and 20 pages, and so on.


12 15 40 19 7

5 22 34 37 18

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Try This: Example 3

Use the data in the table to make a frequency table with intervals.

Number of Miles Walked Last Week

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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Try This: Example 3 Continued


Number

Frequency

This table shows that 3 students walked between 1 and 10 miles, 2 students walked between 11 and 20 miles, and so on.


17 29 9 19 7

5 27 34 21 38

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A histogram is a graph that shows the number of data items that occur within each interval. It is similar to a bar graph, but the bars touch.

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6-5 Frequency Tables and HistogramsAdditional 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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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.

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


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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.


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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

6-5 frequency tables and histograms course 1 warm up warm up lesson presentation lesson presentation...

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