Graphs and Descriptive Statistics, When you read a newspaper,

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Slide 3 - *

Active Learning Questions

Copyright © 2009 Pearson Education, Inc.

For use with classroom response systems

Chapter 3

Visual Displays of Data

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Slide 3 - *

A teacher asked each her students how many novels they had read in the previous six months. The results were: 0, 1, 5, 4, 2, 1, 3, 2, 2, 7, 2, 5, 0, 1, 0, 1, 1, 2, 6, 0, 2, 3, 1, 2, 7, 1, 4, 2, 3, 1, 7, 0, 0, 2, 1, 1, 0, 6, 1, 7. Construct a frequency table for the number of novels read.

a.

b.

c.

d.

# Freq
7 0
11 1
9 2
3 3
2 4
2 5
2 6
4 7
# Freq
0 4
1 2
2 2
3 2
4 3
5 9
6 11
7 7
# Freq
0 11
1 9
2 7
3 4
4 3
5 2
6 2
7 2
# Freq
0 7
1 11
2 9
3 3
4 2
5 2
6 2
7 4

*

Slide 3 - *

A teacher asked each her students how many novels they had read in the previous six months. The results were: 0, 1, 5, 4, 2, 1, 3, 2, 2, 7, 2, 5, 0, 1, 0, 1, 1, 2, 6, 0, 2, 3, 1, 2, 7, 1, 4, 2, 3, 1, 7, 0, 0, 2, 1, 1, 0, 6, 1, 7. Construct a frequency table for the number of novels read.

a.

b.

c.

d.

# Freq
7 0
11 1
9 2
3 3
2 4
2 5
2 6
4 7
# Freq
0 4
1 2
2 2
3 2
4 3
5 9
6 11
7 7
# Freq
0 11
1 9
2 7
3 4
4 3
5 2
6 2
7 2
# Freq
0 7
1 11
2 9
3 3
4 2
5 2
6 2
7 4

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Slide 3 - *

On Monday mornings, a bookie tabulates the point spreads for basketball games played on Saturday and Sunday. He found that 5 games had a spread of 1 or 2 points, 4 had a spread of 3 to 6 points, 4 had a spread of 7 to 10 points and 3 were more than 10. Construct a relative frequency table the bookie obtained for the weekend basketball games.

a.

b.

c.

d.

Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 18.75% 25.00% 25.00% 31.25%
Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 31.25% 25.00% 25.00% 18.75%
Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 25.00% 31.25% 18.75% 25.00%
Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 3125% 2500% 2500% 1875%

*

Slide 3 - *

On Monday mornings, a bookie tabulates the point spreads for basketball games played on Saturday and Sunday. He found that 5 games had a spread of 1 or 2 points, 4 had a spread of 3 to 6 points, 4 had a spread of 7 to 10 points and 3 were more than 10. Construct a relative frequency table the bookie obtained for the weekend basketball games.

a.

b.

c.

d.

Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 18.75% 25.00% 25.00% 31.25%
Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 31.25% 25.00% 25.00% 18.75%
Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 25.00% 31.25% 18.75% 25.00%
Pt Spread 1-2 3-6 7-10 > 10
Rel Freq 3125% 2500% 2500% 1875%

*

Slide 3 - *

Construct a cumulative frequency table for the data of the weight of 30 stones.

a.

b.

c.

d.

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq 5 2 5 5 13
Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
# Stones 5 2 5 5 13
Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq 5 7 12 17 30
Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq 30 30 30 30 30
Weight 1.2-3.6
Cumulative Freq 30

*

Slide 3 - *

Construct a cumulative frequency table for the data of the weight of 30 stones.

a.

b.

c.

d.

Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq 5 2 5 5 13
Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
# Stones 5 2 5 5 13
Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq 5 7 12 17 30
Weight 1.2-1.6 1.7-2.1 2.2-2.6 2.7-3.1 3.2-3.6
Cumulative Freq 30 30 30 30 30
Weight 1.2-3.6
Cumulative Freq 30

*

Slide 3 - *

Construct a bar chart for the relative frequencies given.

a.

b.

c.

d.

Blood Type O A B AB
Frequency 22 19 6 3
Rel Frequency 0.44 0.38 0.12 0.06

*

Slide 3 - *

Construct a bar chart for the relative frequencies given.

a.

b.

c.

d.

Blood Type O A B AB
Frequency 22 19 6 3
Rel Frequency 0.44 0.38 0.12 0.06

*

Slide 3 - *

The following dot plot represents the ages of the people in a sample selected from a group if campaign volunteers. How many people were in the sample?

a. 27

b. 21

c. 28

d. 30

20

22

24

26

28

30

32

34

36

38

*

Slide 3 - *

The following dot plot represents the ages of the people in a sample selected from a group if campaign volunteers. How many people were in the sample?

a. 27

b. 21

c. 28

d. 30

20

22

24

26

28

30

32

34

36

38

*

Slide 3 - *

The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for beer bash, and two for masquerade. Display the vote count in a Pareto chart.

a.

b.

c.

d.

*

Slide 3 - *

The Kappa Iota Sigma Fraternity polled its members on the weekend party theme. The vote was as follows: six for toga, four for hayride, eight for beer bash, and two for masquerade. Display the vote count in a Pareto chart.

a.

b.

c.

d.

*

Slide 3 - *

The data represents the results of a poll in which the following question was asked:, “To what degree are you satisfied with the outcome of the 1994 mayoral election?” Very: 36, Somewhat: 48, Not at All: 62, No opinion: 54. Which pie chart represents the data set?

a.

b.

c.

d.

*

Slide 3 - *

The data represents the results of a poll in which the following question was asked:, “To what degree are you satisfied with the outcome of the 1994 mayoral election?” Very: 36, Somewhat: 48, Not at All: 62, No opinion: 54. Which pie chart represents the data set?

a.

b.

c.

d.

*

Slide 3 - *

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40.

a. 8 b. 6 c. 64 d. 640

Given that 800 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading greater than 140 and less than or equal to 150?

100

110

120

130

140

150

160

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

Systolic Blood Pressure (mm Hg)

*

Slide 3 - *

A nurse measured the blood pressure of each person who visited her clinic. Following is a relative frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40.

a. 8 b. 6 c. 64 d. 640

Given that 800 people were aged between 25 and 40, approximately how many had a systolic blood pressure reading greater than 140 and less than or equal to 150?

100

110

120

130

140

150

160

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

Systolic Blood Pressure (mm Hg)

*

Slide 3 - *

The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September, 2006. Using bins of 2 hours width, which relative frequency histogram represents the data?
6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4

a.

b.

c.

d. None of the previous

*

Slide 3 - *

The data below are the numbers of hours of homework done as reported by 24 high school juniors for the last week in September, 2006. Using bins of 2 hours width, which relative frequency histogram represents the data?
6, 5, 6, 4, 6, 6, 9, 7, 6, 3, 8, 5, 5, 8, 6, 5, 8, 6, 5, 7, 5, 8, 7, 4

a.

b.

c.

d. None of the previous

*

Slide 3 - *

Find the original data from the stem-and-leaf plot.

a. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44

b. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12

c. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44

d. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44

Stem

1

2

3

4

Leaves

1 8

1 1 3 7

1 3 3 8 9

3 4

*

Slide 3 - *

Find the original data from the stem-and-leaf plot.

a. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44

b. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12

c. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44

d. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44

Stem

1

2

3

4

Leaves

1 8

1 1 3 7

1 3 3 8 9

3 4

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Slide 3 - *

A machine is supposed to fill juice bottles with 16 fluid ounces of juice. The manufacturer picks a sample of bottles that have been filled by the machine and determine the volume of juice in each bottle. The leaf unit is 0.1. What is the smallest volume of juice (in fluid ounces) measured for the bottles?

a. 16 fluid ounces b. 151 fluid ounces

c. 15.1 fluid ounces d. 15 fluid ounces

15

15

15

15

15

16

16

16

16

16

1

3

4 5

6 6 7 7 7 7

8 8 8 8 9 9 9 9 9

0 0 0 0 0 0 1 1 1 1 1

2 2 2 2 3 3 3 3

4 4 5

6 6

8

*

Slide 3 - *

A machine is supposed to fill juice bottles with 16 fluid ounces of juice. The manufacturer picks a sample of bottles that have been filled by the machine and determine the volume of juice in each bottle. The leaf unit is 0.1. What is the smallest volume of juice (in fluid ounces) measured for the bottles?

a. 16 fluid ounces b. 151 fluid ounces

c. 15.1 fluid ounces d. 15 fluid ounces

15

15

15

15

15

16

16

16

16

16

1

3

4 5

6 6 7 7 7 7

8 8 8 8 9 9 9 9 9

0 0 0 0 0 0 1 1 1 1 1

2 2 2 2 3 3 3 3

4 4 5

6 6

8

*

Slide 3 - *

Which line chart represents the data in the table?

a.

b.

c.

d. None of the previous

Score 10-14 15-19 20-24 25-29 30-34
Freq 2 5 13 17 6

*

Slide 3 - *

Which line chart represents the data in the table?

a.

b.

c.

d. None of the previous

Score 10-14 15-19 20-24 25-29 30-34
Freq 2 5 13 17 6

*

Slide 3 - *

The time series line chart shows the prices of a volatile stock from January 1999 to December 1999. Between

a. June - July b. August - September

c. May - June d. None of the previous

which two consecutive months did the price of the stock drop by the greatest percentage?

*

Slide 3 - *

The time series line chart shows the prices of a volatile stock from January 1999 to December 1999. Between

a. June - July b. August - September

c. May - June d. None of the previous

which two consecutive months did the price of the stock drop by the greatest percentage?

*

Slide 3 - *

Identify the utility that accounts for over half the total bill in two months.

a. Water

b. Electric

c. Gas

d. No single utility accounts for more than half the total bill in two months.

*

Slide 3 - *

Identify the utility that accounts for over half the total bill in two months.

a. Water

b. Electric

c. Gas

d. No single utility accounts for more than half the total bill in two months.

*

Slide 3 - *

Identify the class that had more than half 2.5 or better GPA’s for the five decades.

a. Sr

b. Jr

c. So

d. Fr

*

Slide 3 - *

Identify the class that had more than half 2.5 or better GPA’s for the five decades.

a. Sr

b. Jr

c. So

d. Fr

*

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

O

A

B

AB

Relative Frequency

0

5

10

15

20

25

O

A

B

AB

Frequency

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

0.5

O

A

B

AB

Relative Frequency

0

5

10

15

20

25

O

A

B

AB

Frequency

0

1

2

3

4

5

6

7

8

9

Toga

Hayride

Beer Bash

Masquerade

0

1

2

3

4

5

6

7

8

9

Toga

Hayride

Beer Bash

Masquerade

0

1

2

3

4

5

6

7

8

9

Beer Bash

Toga

Hayride

Masquerade

0

1

2

3

4

5

6

7

8

9

Masquerade

Hayride

Toga

Beer Bash

Very

Somewhat

Not at All

No Opinion

Very

Somewhat

Not at All

No Opinion

Very

Somewhat

Not at All

No Opinion

Very

Somewhat

Not at All

No Opinion