9-2 Organizing Data

Course 3

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Problem of the DayProblem of the Day

Lesson PresentationLesson Presentation

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2. 53 – 37 19

3. 27 2(14)

4. 49 – (–4) 51

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Course 3

9-2 Organizing Data

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Problem of the Day

If today is Wednesday, what day of the week will it be in 100 days?Friday

Course 3

9-2 Organizing Data

Learn to organize data in tables and stem-and-leaf plots.

Course 3

9-2 Organizing Data

Vocabulary

line plot

stem-and-leaf plot

back-to-back stem-and-leaf plot

Venn diagram

Insert Lesson Title Here

Course 3

9-2 Organizing Data

Course 3

9-2 Organizing Data

Organizing raw data can help you see patterns and trends. One way to organize data is to use a line plot. A line plot uses a number line to show how often a value occurs in a data set.

Course 3

9-2 Organizing Data

Additional Example 1: Organizing Data in Line Plots

Use a line plot to organize the math exam scores.

Find the least value, 50, and the greatest value, 100, in the data set. Then draw a number line from 50 to 100. Place an “x” above each number on the number line for each time it appears in the data set.

Student Test Scores

100 95 75 80

60 100 60 75

90 85 80 100

50 90 65 80

Course 3

9-2 Organizing Data

Additional Example 1 Continued

Use a line plot to organize the math exam scores.

There are 16 numbers in the data set and 16 x’s above the number line.

Student Test Scores

100 95 75 80

60 100 60 75

90 85 80 100

50 90 65 80

50 55 60 65 70 75 80 85 90 95 100

xxx x x

xx

xxx

xx x

xxx

Course 3

9-2 Organizing Data

Check It Out: Example 1

Use a line plot to organize the feet of snow each season.

Find the least value, 1, and the greatest value, 11, in the data set. Then draw a number line from 1 to 11. Place an “x” above each number on the number line for each time it appears in the data set.

Feet of Snow

4 11 7 5

1 9 5 10

7 4 3 9

11 10 7 6

5 9 10 11

Course 3

9-2 Organizing Data

Check It Out: Example 1 Continued

There are 20 numbers in the data set and 20 x’s above the number line.

1 2 3 4 5 6 7 8 9 10 11

x xxx

xxx

xxx x

xxxx

xx

xxx

Feet of Snow

4 11 7 5

1 9 5 9

7 4 3 9

11 10 7 6

5 9 10 11

Use a line plot to organize the feet of snow each season.

Course 3

9-2 Organizing Data

A stem-and-leaf plot is another way to display data. The values are grouped so that all but the last digit is the same in each category.

Stem = first digits(s)

Leaf = last digit

2 5 = 25

Course 3

9-2 Organizing Data

Additional Example 2: Reading Stem-and-Leaf Plots

List the data values of the stem-and-leaf plot.

1 2 5

4 0 1 1

5 2 7 9

Key: 1 2 means 12

The data values are:

12, 15, 40, 41, 41, 52, 57, and 59.

Course 3

9-2 Organizing Data

Check It Out: Example 2

List the data values of the stem-and-leaf plot.

2 3 6

3 7 8 9

4 2 5 6

Key: 2 3 means 23

The data values are:

23, 26, 37, 38, 39, 42, 45, and 46.

Course 3

9-2 Organizing Data

A back-to-back stem-and-leaf plot is used to compare two sets of data. The stems are in the center, and the left leaves are read in reverse.

Course 3

9-2 Organizing DataAdditional Example 3: Organizing data in Back-to-Back

Stem-and-Leaf PlotsUse the given data to make a back-to-back stem-and-leaf plot.

1 2 3 4

200019500 5 9 9 4 8

5 1 3

Key: | 2 | 9 means 29 8 | 1 | means 18

9

Course 3

9-2 Organizing Data

Check It Out: Example 3

Use the given data to make a back-to-back stem-and-leaf plot.

0 8

1 0 2 6 6

2 3 4

Voting Statistics

Age VotedDid not

Vote

Millions Millions

18 to 24 years 8 18

25 to 34 years 16 21

35 to 44 years 24 20

45 to 54 years 23 14

55 to 64 years 16 8

65 to 74 years 12 5

75 years up 10 5

Did not Vote Voted8 5 5

8 4

1 0

Key: | 0 | 8 means 8 4 | 1 | means 14

Course 3

9-2 Organizing Data

Venn Diagrams are used to show relationships between sets.

Course 3

9-2 Organizing Data

Additional Example 4: Organizing data in Venn Diagrams

Make a Venn diagram to show how many 8th grade students play soccer.

Survey Results

Grade Sport Grade Sport

6 Baseball 8 Tennis

6 Tennis 7 Soccer

8 Soccer 7 Baseball

8 Baseball 6 Soccer

7 soccer 8 soccer

Course 3

9-2 Organizing Data

Additional Example 4 Continued

Make a Venn diagram to show how many 8th grade students play soccer.

Draw two circles. Label one circle “8th Graders” and the other circle “Soccer Players”. The region that overlaps represents both 8th Graders and Soccer Players.

4 5 SoccerPlayers

8th Graders 2

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9-2 Organizing Data

Check It Out: Example 4

Make a Venn diagram to show how many 6th grade students participate in Band.

Survey Results

Grade Activity Grade Activity

6 Band 8 Art

6 Art 6 Band

8 Band 7 Band

6 Math Club 6 Band

7 Art 8 Math Club

Course 3

9-2 Organizing Data

Check It Out: Example 4 Continued

Draw two circles. Label one circle “6th Graders” and the other circle “Band”. The region that overlaps represents both 6th Graders and Band Members.

5 5

Make a Venn diagram to show how many 6th grade students participate in Band.

Band Members

6th Graders 3

Lesson Quiz: Part I

Insert Lesson Title Here

Course 3

9-2 Organizing Data

1. Use a line plot to organize the data of daily rainfall during the month of June.

Inches of Rainfall During June

0 3 4 1 0 0 0 1 0 5

2 1 0 0 0 0 3 3 0 1

1 1 0 0 4 4 5 2 1 1

0 1 2 3 4 5

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Lesson Quiz: Part II

Insert Lesson Title Here

Course 3

9-2 Organizing Data

2. List the data values in the stem-and-leaf plot.

0 6 9

1 4 7

2 2 5

Key: 1 5 means 15

6, 9, 14, 17, 22, 25

Lesson Quiz: Part III

Insert Lesson Title Here

Course 3

9-2 Organizing Data

3. Make a Venn diagram to show how many voters under age 30 responded to the survey.

Survey Results

Age Registered to Vote

Age Registered to Vote

18 yes 55 yes

20 no 31 no

47 no 43 no

62 yes 25 yes

29 yes 19 no

Registered to Vote

Under 30 5 53