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15. (A)
Chapter 2: Graphical Summaries of Data

Section 2.1 Exercises

Exercises 1 – 4 are the Check Your

Understanding exercises located within the
section. Their answers are found on pages
48 and 49.

Understanding the Concepts

5. frequency
6. relative frequency
7. pareto chart
8. pie chart
9. False. In a frequency distribution, the sum
of all frequencies equals the total number of
observations.
10. True
11. True
12. False. In bar graphs and Pareto charts, the
heights of the bars represent the
frequencies or relative frequencies.

Practicing the Skills

13. (A) Meat, poultry, fish, and eggs

(B) False ($450 < $550)
(C) True ($1300 > $1000)
14. (A) Type O
70
(B) False ( 150 46.7% )
(C) True
16. (A)

(B)

(C) Other discretionary

(D) 8%+26%+3%=37%
17. (A) Families and individuals, Businesses,
Governments
(B) Produced at home
(C) No, Produced at home is.
(D) Yes
18. (A) The game
(B) True
(C) False (men < women)
(D) True (both are about 0.65)
19. (A)
 (B) (C)

(C) Everyone (E)

(D) False
(E) True (12.5% < 20%)
9.6
(D) True 30% > 20%
32
(B) 21. (A)

(B)

(C)
(C)

(D)

(D) True
20. (A)

(B)
 (E)
(E)

68,513
(F) False 172, 203 39.8% < 50% (F) True (65% > 50%)

23. (A)
22. (A)

(B)

(B)

(C)

(C)

(D)

(D)

(E)
 (E)

(F) True. (3800 > 3134)

24. (A)

(F) True. 62.1% > 50%

(B) (G) False. 10.8% < 10.9%
25. (A)

(C)
(B)

(D)
(C)
 (D)

(E) True. (64.5% > 50%)

(F) 0.106
27. (A)

(E) True. (56.1% > 50%) (B)

(F) True. 43.9% are females
(G) 0.289
26. (A)

(C)

(B)

(D)

(C)

(D) (E) True. 30.5% never back up their data.

 (D)
(F) False.
28. (A)

(E)

(B)

(F) 0.132
29. (A)

(B)

(C)

(C)

(D) True. (0.735 > 0.5)

 (C)
30. (A)

(B)
(D)

(C)

(E) 0.239
32. (A)

(D) False. Honda’s and Nissan’s went down.

31. (A)

(B)

(B)

(C)
 (E) False. (64.74 million < 65.62 million)
(D) 34. This is not a valid relative frequency
distribution because the proportions do
not sum to 1.

Extending the Concepts

35. (A)

(E) 0.304
33. (A)

(B)

(B)

(C)

(C)

(D)
 (D)
Working with the Concepts

19. (A) 11
(B) 1
(C) 70-71
(D) 9%
(E) approximately symmetric
20. (A) 3
(B) 19
(E) The total frequency is equal to the sum (C) 3
of the frequencies for the two cities. (D) skewed to the right
(F) The total relative frequency is the total 21. (A) The sum of the proportions in the last 5
frequency divided by the sum of all rectangles gives the percentage of men
total frequencies. The relative with levels above 240. The sum is:
frequency for each city is the frequency 0.13 + 0.1 + 0.05 + 0.01 + 0.02 =
for that city divided by the sum of the 0.31, which is closest to 30%.
frequencies for that city. Since the sum (B) 240-260, because 13% > 8%.
of the frequencies for each city is not 22. (A) The sum of the proportions in the last 8
the same as the sum of the total rectangles gives the percentage of
frequencies, the total relative frequency women with pressures above 120. The
is not the sum of the relative sum is: 0.14 + 0.12 + 0.11 + 0.04 + 0.04
frequencies for the two cities. + 0.02 + 0.01 + 0.01 = 0.49, which is
closest to 50%.
Section 2.2 Exercises (B) 130-135, because 11% > 6%.
23. (A) Right skewed, because there are many
Exercises 1-4 are the Check Your more words of small length than of
Understanding exercises located within the larger length.
section. Their answers are found on page 67. (B) Left skewed, because there are many
more coins in circulation from
recent years than older years.
Understanding the Concepts (C) Left skewed, because there are many
5. symmetric
more high grades than low ones.
6. left, right
24. (A) Right skewed, because there are
7. bimodal
many more people with low incomes
8. cumulative frequency
than high.
9. False. In a frequency distribution, the class (B) Left skewed, because there are many
width is the difference between more students finishing the exam close
consecutive lower class limits. to (if not all of) the allotted 60 minutes.
10. False. The number of classes used has a (C) Right skewed, because there are many
large effect on the shape of the histogram. more people with younger ages than old.
11. True 25. (A) 9
12. True (B) 0.020
(C) Lower limits: 0.180, 0.200, 0.220,
Practicing the Skills 0.240, 0.260, 0.280, 0.300, 0.320, 0.340.
Upper limits: 0.199, 0.219, 0.239,
13. Skewed to the left 0.259, 0.279, 0.299, 0.319, 0.339, 0.359.
14. Skewed to the right
15. Approximately symmetric
16. Approximately symmetric
17. Bimodal
18. Unimodal
 (C)
(D)

(E)
(D)

(F)
(E)

(G) 0.109 + 0.037 + 0.004 = 0.15 = 15%

(H) 0.015 + 0.052 = 0.067 = 6.7% (F)
26. (A)

(G) 0.097 + 0.04 = 0.137 = 13.7%

(H) 0.119 + 0.035 + 0.007 = 0.161 = 16.1%
(B) 27. (A) 10
(B) 3.0
(C) The lower class limits are 1.0, 4.0, 7.0,
10.0, 13.0, 16.0, 19.0, 22.0, 25.0, and
28.0. The upper class limits are 3.9, 6.9,
9.9, 12.9, 15.9, 18.9, 21.9, 24.9, 27.9,
and 30.9.
 (E)
(D)

(E)

(F)

(F) (G) 0.288 + 0.315 = 0.603 = 60.3%

(H) 0.027 + 0.027 + 0.027 = 0.081 = 8.1%
29. (A)

(G) 0.125 + 0.17 + 0.24 = 0.535 = 53.5%

(H) 0.065 + 0.035 + 0.015 + 0.005 = 0.12
= 12.0%
28. (A) 11
(B) 5
(C) The lower class limits are 0.0, 5.0,
10.0, 15.0, 20.0, 25.0, 30.0, 35.0, 40.0,
45.0, and 50.0. The upper class limits
are 4.9, 9.9, 14.9, 19.9, 24.9, 29.9, 34.9, (B)
39.9, 44.9, 49.9, and 54.9.

(D)
 (C)

(G) Both are reasonably good choices for

class widths. The number of classes
are both at least 5, but less than 20.
Also, neither class widths are too
narrow or too wide.
30. (A)
(D)

(E) Unimodal
(F)

(B)
 (C)

(D)
(G) Both are reasonably good choices for
class widths. The number of classes are
both at least 5, but less than 20. Also,
neither class widths are too narrow or
too wide.
31. (A) Answers will vary. Here is one
possibility:
(E) skewed to the left
(F)

(B)

(C) Answers will vary. Here is

one possibility:
(D)

(H) The one with 9 classes is more

appropriate than the one with only 5
(E) skewed to the right classes. This is because the one with only
(F) Answers will vary. Here is 5 classes is too wide. Only the most basic
one possibility: features of the data are visible.
32. (A)

(G)

(B)

(C)
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 TRANSCRIBER’S NOTES
1. P. vi, changed “un grande punizone del naso” to
“un grande punzone del naso”.
2. P. viii, changed “ourselves the Homeric
description” to “ourselves to the Homeric
description.”
3. P. xiii, changed “Bronzi dei Museo Kircheriano”
to “Bronzi del Museo Kircheriano”.
4. P. 66, changed “convinced the spectators of
quality” to “convinced the spectators of his
quality”.
5. P. 90, changed “ars puginandi” to “ars
pugnandi”.
6. P. 101, inserted missing anchor for the first
footnote on that page.
7. P. 155, changed “A chip of the old block.” to “A
chip off the old block”.
8. P. 170, changed “désagrémen” to “désagrément”.
9. P. 186, changed “posse commitatus” to “posse
comitatus”.
10. P. 501, added missing “A.” subheading.
11. Silently corrected typographical errors and
variations in spelling.
12. Retained anachronistic, non-standard, and
uncertain spellings as printed.
13. Footnotes have been re-indexed using numbers
and collected together at the end of the last
chapter.
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