Organizing Data10-1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

Organizing Data10-1

Warm UpCompare. Write < or >.

1. 3(6) 15

2. 53 – 37 19

3. 27 2(14)

4. 49 – (–4) 51

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Organizing Data10-1

Problem of the Day

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

Organizing Data10-1

Prep for MA.8.S.3.1 …Organize and construct appropriate data displays…to convey information and make conjectures about possible relationships.Review MA.7.S.6.2

Sunshine State Standards

Organizing Data10-1

Vocabulary

line plot

stem-and-leaf plot

back-to-back stem-and-leaf plot

Venn diagram

Organizing Data10-1

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.

Organizing Data10-1

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

Organizing Data10-1

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

Organizing Data10-1

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

Organizing Data10-1

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.

Organizing Data10-1

A stem-and-leaf plot is a graph used to organize and display data to compare frequencies. Each leaf on the plot represents the right-hand digit in a data value. Each stem represents the remaining left-hand digits.

Stem = first digit(s)

Leaf = last digit

2 5 = 25

Organizing Data10-1

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.

Organizing Data10-1

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.

Organizing Data10-1

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

Organizing Data10-1Additional 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 8 4

5 1 3

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

9

Organizing Data10-1

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

Organizing Data10-1

Venn Diagrams are used to show relationships between sets.

Organizing Data10-1

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

Organizing Data10-1

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.

2 3 SoccerPlayers

8th Graders 2

3

Organizing Data10-1

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

Organizing Data10-1

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.

2 2

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

Band Members

6th Graders 3

3

Organizing Data10-1

Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

Organizing Data10-1

Lesson Quiz: Part I

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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xxxxxxxx

xx

xxx

xxx

xx

Organizing Data10-1

Lesson Quiz: Part II

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

Organizing Data10-1

Lesson Quiz: Part III

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

Organizing Data10-1

1. Identify a line plot to organize the data of the weights of students in a class.

A.

B.

Lesson Quiz for Student Response Systems

Organizing Data10-1

2. Identify the list of data values in the stem and leaf plot.

A. 40, 90, 12, 22, 52, 62, 83, 13, 33

B. 4, 9, 21, 22, 25, 26, 31, 33, 33

C. 4, 9, 21, 21, 31, 33, 52, 62, 83

D. 1, 1, 2, 3, 4, 5, 6, 8, 9

Lesson Quiz for Student Response Systems

Organizing Data10-1

3. Identify a Venn diagram to show how many students in the sixth grade belong to both cultural and sports team.

A. B.

Lesson Quiz for Student Response Systems