9-5 Displaying Data

Course 3

Warm Up

Problem of the Day

Lesson Presentation

Warm UpWrite each fraction as a decimal.

1. 2.

3. 4.

0.4

0.06 0.7

Course 3

9-5 Displaying Data

0.9825

4950

350

710

Problem of the Day

Your job at the local library is to shelve the returned books. To correctly put the books on the shelves, you need to arrange them in order according to their numbers. Which order is correct? C

Course 3

9-5 Displaying Data

A. 342.3, 342.5, 342.48, 342.52

B. 342.21, 342.47, 342.4, 342.59

C. 342.1, 342.17, 342.56, 342.76

D. 342.34, 342.43, 342.567, 342.56

Learn to display data in bar graphs, histograms, and line graphs.

Course 3

9-5 Displaying Data

Vocabulary

double-bar graph

frequency table

histogram

double-line graph

Insert Lesson Title Here

Course 3

9-5 Displaying Data

Course 3

9-5 Displaying Data

A double-bar graph is used to display and compare two sets of data. You can organize data using a frequency table by listing items according to the number of times the items occur.

Additional Example 1: Displaying Data in a Double-Bar Graph

Course 3

9-5 Displaying Data

Make a double-bar graph.

The following are the number of books read in one month by some boys and girls in Grade 8.

Books read 0 1 2 3 4 5

Boys 2 3 3 1 0 1

Girls 2 1 2 4 1 0

Additional Example 1 Continued

Course 3

9-5 Displaying Data

Make a double-bar graph.

0

1

2

3

4

0 1 2 3 4 5

Boys

Girls

Freq

uen

cy

Books read

The frequencies are the heights of the bars in the graph. Use a different color to represent each gender.

Check It Out: Example 1

Course 3

9-5 Displaying Data

Make a double-bar graph.

The following are the number of tickets sold in one week by the boys and girls in Grade 8.

Tickets Sold 0 5 10

15

20

25

Boys 3 9 3 8 5 2

Girls 4 4 9 8 3 6

Check It Out: Example 1 Continued

Course 3

9-5 Displaying Data

Make a double-bar graph.

0

1

2

3

4

5

6

7

8

9

0 5 10 15 20 25

Boys

Girls

Freq

uen

cy

Tickets Sold

The frequencies are the heights of the bars in the graph. Use a different color to represent each gender.

Course 3

9-5 Displaying Data

A histogram is a bar graph that shows the frequency of data within equal intervals.

Additional Example 2: Displaying Data in a Histogram

Course 3

9-5 Displaying Data

Jimmy surveyed 12 children to find out how much money they received from the tooth fairy. Use the data to make a histogram.

0.35 2.00 0.75 2.50 1.50 3.00

0.25 1.00 1.00 3.50 0.50 3.00

First, make a frequency table with intervals of $1.00. Then make a histogram.

Additional Example 2 Continued

Course 3

9-5 Displaying Data

0.35 2.00 0.75 2.50 1.50 3.00

0.25 1.00 1.00 3.50 0.50 3.00

33.00 – 3.99

22.00 – 2.99

31.00 – 1.99

40 – 0.99

FrequencyMoney ($)

Additional Example 2 Continued

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9-5 Displaying Data

Histograms do not have spaces between the bars.

Helpful Hint

Fre

qu

en

cy

Check It Out: Example 2

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9-5 Displaying Data

Tonya surveyed 14 children at an after school day care to find out how many hours they spend there. Use the data to make a Histogram.

2:00 1:40 3:00 0:30 1:00 1:30 2:30

0:30 2:45 1:00 2:00 1:35 1:30 3:00

First, make a frequency table with intervals of 30 minutes. Then make a histogram.

Course 3

9-5 Displaying Data

Time Spent at Day Care

Frequency

0:00 to 0:30 2

0:31 to 1:00 2

1:01 to 1:30 2

1:31 to 2:00 4

2:01 to 2:30 1

2:31 to 3:00 3

2:00 1:40 3:00 0:30 1:00 1:30 2:30

0:30 2:45 1:00 2:00 1:35 1:30 3:00

Check It Out: Example 2 Continued

Course 3

9-5 Displaying Data

Check It Out: Example 2 ContinuedFr

equ

ency

Hours Spent at Day Care

0

1

2

3

4

5

0:00 to0:30

0:31 to1:00

1:01 to1:30

1:31 to2:00

2:01 to2:30

2:31 to3:00

Course 3

9-5 Displaying Data

A double-line graph is used to show how two related sets of data change over time.

Course 3

9-5 Displaying Data

Additional Example 3: Displaying Data in a Double-Line Graph

Make a double-line graph of the given data. Use the graph to estimate the number of CDs and DVDs sold in 2003.

The Music Shop CD and DVD SalesYear CD’s Sold DVDs Sold

1998 3002 735

2000 3098 1057

2002 4685 3010

2004 5804 4047

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9-5 Displaying Data

Additional Example 3 Continued

Plot the data.

The graph shows about 5,250 CDs and 3,500 DVDs were sold in 2003.

0

1000

2000

3000

4000

5000

6000

7000

1998 2000 2002 2004

CD

DVD

The Music Shop CD and DVD SalesN

um

ber

Sold

Year

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9-5 Displaying Data

Check It Out: Example 3

Make a double-line graph of the given data. Use the graph to estimate the number of Strawberries and Figs grown in 2002.

Perry's Strawberry-Fig Farm Sales

Year Strawberry Baskets Sold Figs Sold

1999 4,000 1,200

2001 4,500 2,000

2003 8,000 3,500

2005 5,500 3,200

Course 3

9-5 Displaying Data

Check It Out: Example 3 Continued

Plot the data.

The graph shows about 6,250 Strawberry Baskets and 2,800 Figs were sold in 2002.

0

1,000

2,000

3,000

4,000

5,000

6,000

7,000

8,000

9,000

1999 2001 2003 2005

StrawberryBaskets

Figs

Perry’s Strawberry-Fig Farm Sales N

um

ber

Sold

Year

Lesson Quiz: Part I

1. Make a histogram with intervals of 5 using the

following data set: 7, 12, 8, 4, 4, 3, 6, 1, 14, 19, 8,

9

Insert Lesson Title Here

Course 3

9-5 Displaying Data

0-4 5-9 10-14 15-19

8

7

6

5

4

3

2

1

Frequency

Units Frequency

0-4 4

5-9 5

10-14 2

15-19 1

Lesson Quiz: Part II

2. Estimate the temperature on January 6 in 2004

and 2005 using the graph below.

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9-5 Displaying Data

Temperature Highs in January 2004 and 2005

24

26

28

30

32

34

1 3 5 7 9

January

De

gre

es

Ce

lciu

s

20042005

2005: 31°C, 2004: 30°C

Lesson Quiz: Part IIIUse the graph for problems 3–4.

Monday, Wednesday, Thursday, and Saturday

Friday

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9-5 Displaying Data

3. On what day did both girls exercise for 30 minutes?

4. On what day(s) did Ana exercise longer than Sue?

0

5

10

15

20

25

30

Minutes

M T W Th F Sa Su

Days

Sue's and Ana's Weekly Exercise

SueAna