Displaying Data9-6

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes

Displaying Data9-6

Warm UpWrite each fraction as a decimal.

1. 2.

3. 4.

0.4

0.06 0.7

0.9825

4950

350

710

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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

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

Displaying Data9-6

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

Displaying Data9-6

Vocabulary

double-bar graph

frequency table

histogram

double-line graph

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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.

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

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

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Additional Example 1 Continued

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.

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Check It Out: Example 1

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

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Check It Out: Example 1 Continued

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.

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

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Additional Example 2: Displaying Data in a Histogram

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.

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Additional Example 2 Continued

$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 ($)

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Additional Example 2 Continued

Histograms do not have spaces between the bars.

Helpful Hint

Fre

qu

en

cy

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Check It Out: Example 2

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.

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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

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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

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

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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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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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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

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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

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Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems

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Lesson Quiz: Part I

1. Make a double-bar graph.

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Lesson Quiz: Part II

2. Make a histogram with intervals of 5 using the

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

9

Units Frequency

0-4 4

5-9 5

10-14 2

15-19 1

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Lesson Quiz: Part III

3. Estimate the temperature on January 6 in 2004

and 2005 using the graph below.

2005: 31°F, 2004: 30°F

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1. Estimate the rainfall on December 8 in 2003 and 2005 using the graph below.

A. 2003: 3.5 in.; 2005: 2 in.

B. 2003: 2 in.; 2005: 3.5 in.

C. 2003: 3.5 in.; 2005: 3.5 in.

D. 2004: 2 in.; 2005: 2 in.

Lesson Quiz for Student Response Systems

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2. Use the graph to identify the days on which toy trucks were sold more than toy trains.

A. Mon, Fri

B. Tues, Weds, Thurs

C. Mon, Thurs

D. Tues, Weds, Fri

Lesson Quiz for Student Response Systems