Chap02 TIF BBS11

Chapter 2 Presenting Data in Tables and Charts 31
CHAPTER 2: PRESENTING DATA IN TABLES AND

CHARTS
TABLE 2-1
An insurance company evaluates many numerical variables about a person before deciding on an
appropriate rate for automobile insurance. A representative from a local insurance agency selected a
random sample of insured drivers and recorded, X, the number of claims each made in the last 3 years,
with the following results.
X f
1 14
2 18
3 12
4 5
5 1
1. Referring to Table 2-1, how many drivers are represented in the sample?
a) 5
b) 15
c) 18
d) 50
ANSWER:
d
TYPE: MC DIFFICULTY: Easy
KEYWORDS: frequency distribution
2. Referring to Table 2-1, how many total claims are represented in the sample?
a) 15
b) 50
c) 111
d) 250
ANSWER:
c
TYPE: MC DIFFICULTY: Moderate
KEYWORDS: interpretation, frequency distribution
3. A type of vertical bar chart in which the categories are plotted in the descending rank order of the
magnitude of their frequencies is called a
a) contingency table.
32 Chapter 2 Presenting Data in Tables and Charts
b) Pareto diagram.
c) dot plot.
d) pie chart.
ANSWER:
b
KEYWORDS: Pareto diagram
TABLE 2-2
At a meeting of information systems officers for regional offices of a national company, a survey was
taken to determine the number of employees the officers supervise in the operation of their departments,
where X is the number of employees overseen by each information systems officer.
X f_
1 7
2 5
3 11
4 8
5 9
4. Referring to Table 2-2, how many regional offices are represented in the survey results?
a) 5
b) 11
c) 15
d) 40
ANSWER:
d
5. Referring to Table 2-2, across all of the regional offices, how many total employees were
supervised by those surveyed?
a) 15
b) 40
c) 127
d) 200
ANSWER:
c
6. The width of each bar in a histogram corresponds to the

a) differences between the boundaries of the class.
b) number of observations in each class.
c) midpoint of each class.
d) percentage of observations in each class.
ANSWER:
a
TABLE 2-3
Every spring semester, the School of Business coordinates with local business leaders a luncheon for
graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of
the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they
bring with them. The following histogram represents the attendance at the senior luncheon, where X is
the number of guests each graduating senior invited to the luncheon and f is the number of graduating
seniors in each category.
160 152
140
120
100
85
Frequency
80
60
40
17 18
20
3 0
0
0 1 2 3 4 5
Guests per Student
7. Referring to the histogram from Table 2-3, how many graduating seniors attended the luncheon?
a) 4
b) 152
c) 275
d) 388
ANSWER:
c
TYPE: MC DIFFICULTY: Difficult
EXPLANATION: The number of graduating seniors is the sum of all the frequencies, f.
KEYWORDS: interpretation, histogram
8. Referring to the histogram from Table 2-3, if all the tickets purchased were used, how many guests
attended the luncheon?
a) 4
b) 152
c) 275
d) 388
ANSWER:
d
�
6
EXPLANATION: The total number of guests is i =1
X i fi
KEYWORDS: interpretation, histogram
9. A professor of economics at a small Texas university wanted to determine what year in school
students were taking his tough economics course. Shown below is a pie chart of the results. What
percentage of the class took the course prior to reaching their senior year?
Seniors Freshmen
14% 10%
Juniors
30%
Sophomores
46%
a) 14%
b) 44%
c) 54%
d) 86%
ANSWER:
d
KEYWORDS: interpretation, pie chart
10. When polygons or histograms are constructed, which axis must show the true zero or "origin"?
a) The horizontal axis.
b) The vertical axis.
c) Both the horizontal and vertical axes.
d) Neither the horizontal nor the vertical axis.
ANSWER:
b
KEYWORDS: polygon, histogram
11. When constructing charts, the following is plotted at the class midpoints:
a) frequency histograms.
b) percentage polygons.
c) cumulative relative frequency ogives.
d) All of the above.
ANSWER:
b
KEYWORDS: percentage polygon
TABLE 2-4
A survey was conducted to determine how people rated the quality of programming available on
television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100
(extremely good quality). The stem-and-leaf display of the data is shown below.
Stem Leaves
3 24
4 03478999
5 0112345
6 12566
7 01
8
9 2
12. Referring to Table 2-4, what percentage of the respondents rated overall television quality with a
rating of 80 or above?
a) 0
b) 4
c) 96
d) 100
ANSWER:
b
KEYWORDS: stem-and-leaf display, interpretation
rating of 50 or below?
a) 11
b) 40
c) 44
d) 56
ANSWER:
c
rating between 50 and 75?
a) 11
b) 40
c) 44
d) 56
ANSWER:
d
TABLE 2-5
The following are the durations in minutes of a sample of long-distance phone calls made within the
continental United States reported by one long-distance carrier.
Relative
Time (in Minutes) Frequency
0 but less than 5 0.37
30 or more 0.02
15. Referring to Table 2-5, what is the width of each class?

a) 1 minute
b) 5 minutes
c) 2%
d) 100%
ANSWER:
b
KEYWORDS: class interval, relative frequency distribution
16. Referring to Table 2-5, if 1,000 calls were randomly sampled, how many calls lasted under 10
minutes?
a) 220
b) 370
c) 410
d) 590
ANSWER:
d
KEYWORDS: relative frequency distribution, interpretation
17. Referring to Table 2-5, if 100 calls were randomly sampled, how many calls lasted 15 minutes or
longer?
a) 10
b) 14
c) 26
d) 74
ANSWER:
c
18. Referring to Table 2-5, if 10 calls lasted 30 minutes or more, how many calls lasted less than 5
minutes?
a) 10
b) 185
c) 295
d) 500
ANSWER:
b
19. Referring to Table 2-5, what is the cumulative relative frequency for the percentage of calls that
lasted under 20 minutes?
a) 0.10
b) 0.59
c) 0.76
d) 0.84
ANSWER:
d
KEYWORDS: cumulative relative frequency
20. Referring to Table 2-5, what is the cumulative relative frequency for the percentage of calls that
lasted 10 minutes or more?
a) 0.16
b) 0.24
c) 0.41
d) 0.90
ANSWER:
c
KEYWORDS: cumulative relative frequency
21. Referring to Table 2-5, if 100 calls were randomly sampled, _______ of them would have lasted at
least 15 minutes but less than 20 minutes
a) 0.10
b) 0.16
c) 10
d) 16
ANSWER:
c
22. Referring to Table 2-5, if 100 calls were sampled, _______ of them would have lasted less than 15
minutes.
a) 26
b) 74
c) 10
d) None of the above.
ANSWER:
b
23. Referring to Table 2-5, if 100 calls were sampled, _______of them would have lasted 20 minutes
or more.
a) 26
b) 16
c) 74
ANSWER:
b
24. Referring to Table 2-5, if 100 calls were sampled, _______ of them would have lasted less than 5
minutes or at least 30 minutes or more.
a) 35
b) 37
c) 39
ANSWER:
c
25. When studying the simultaneous responses to two categorical questions, we should set up a
a) contingency table.
b) frequency distribution table.
c) cumulative percentage distribution table.
d) histogram.
ANSWER:
a

KEYWORDS: contingency table
26. Data on 1,500 students’ height were collected at a larger university in the East Coast. Which of the
following is the best chart for presenting the information?
a) A pie chart.
b) A Pareto diagram.
c) A side-by-side bar chart.
d) A histogram.
ANSWER:
d
KEYWORDS: choice of chart, histogram
27. Data on the number of part-time hours students at a public university worked in a week were
collected. Which of the following is the best chart for presenting the information?
a) A pie chart.
c) A percentage table.
d) A percentage polygon.
ANSWER:
d
KEYWORDS: choice of chart, percentage polygon
28. Data on the number of credit hours of 20,000 students at a public university enrolled in a Spring
semester were collected. Which of the following is the best for presenting the information?
a) A pie chart.
c) A stem-and-leaf display.
d) A contingency table.
ANSWER:
c
KEYWORDS: choice of chart, stem-and-leaf
29. A survey of 150 executives were asked what they think is the most common mistake candidates
make during job interviews. Six different mistakes were given. Which of the following is the best
for presenting the information?
a) A bar chart.
b) A histogram
ANSWER:
a
KEYWORDS: choice of chart, bar chart
30. You have collected information on the market share of 5 different search engines used by U.S.
Internet users in May 2007. Which of the following is the best for presenting the information?
a) A pie chart.
b) A histogram
ANSWER:
a
KEYWORDS: choice of chart, pie chart
31. You have collected information on the market share of 5 different search engines used by U.S.
Internet users in May 2007. Which of the following is the best for presenting the information?
a) A pie chart.
b) A histogram
ANSWER:
a
KEYWORDS: choice of chart, pie chart
32. You have collected information on the consumption by the 15 largest coffee-consuming nations.
Which of the following is the best for presenting the share of the consumption?
a) A pie chart.
b) A Pareto diagram
ANSWER:
b
KEYWORDS: choice of chart, Pareto diagram
NOTE: Even though a pie chart can also be used, the Pareto diagram is preferable for separating the
“vital few” from the “trivial many”.
33. You have collected data on the approximate retail price (in $) and the energy cost per year (in $) of
15 refrigerators. Which of the following is the best for presenting the data?
a) A pie chart.
b) A scatter diagram
ANSWER:
b
KEYWORDS: choice of chart, scatter diagram
34. You have collected data on the number of U.S. households actively using online banking and/or
online bill payment from 1995 to 2007. Which of the following is the best for presenting the data?
a) A pie chart.
b) A stem-and-leaf display
d) A time-series plot.
ANSWER:
d
KEYWORDS: choice of chart, time-series plot
35. You have collected data on the monthly seasonally adjusted civilian unemployment rate for the
United States from 1998 to 2007. Which of the following is the best for presenting the data?
a) A contingency table.
c) A time-series plot.
d) A side-by-side bar chart.
ANSWER:
c
KEYWORDS: choice of chart, time-series plot
36. You have collected data on the annual average amount of cash rebate offered by 6 different brands
of automobiles sold in the US in 2006 and 2007. Which of the following is the best for presenting
the data?
d) A side-by-side bar chart.
ANSWER:
d
KEYWORDS: choice of chart, side-by-side bar chart
37. You have collected data on the responses to two questions asked in a survey of 40 college students
majoring in business—What is your gender (Male = M; Female = F) and What is your major
(Accountancy = A; Computer Information Systems = C; Marketing = M). Which of the following
is the best for presenting the data?
d) A Pareto diagram.
ANSWER:
a
KEYWORDS: choice of chart, contingency table
TABLE 2-6
A sample of 200 students at a Big-Ten university was taken after the midterm to ask them whether they
went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did
well or poorly on the midterm. The following table contains the result.
Did Well in Midterm Did Poorly in Midterm

Studying for Exam 80 20
Went Bar Hopping 30 70
38. Referring to Table 2-6, of those who went bar hopping the weekend before the midterm in the
sample, _______ percent of them did well on the midterm.
a) 15
b) 27.27
c) 30
d) 55
ANSWER:
c
KEYWORDS: contingency table, interpretation
39. Referring to Table 2-6, of those who did well on the midterm in the sample, _______ percent of
them went bar hopping the weekend before the midterm.
a) 15
b) 27.27
c) 30
d) 50
ANSWER:
b
40. Referring to Table 2-6, _______ percent of the students in the sample went bar hopping the
weekend before the midterm and did well on the midterm.
a) 15
b) 27.27
c) 30
d) 50
ANSWER:
a
41. Referring to Table 2-6, _______ percent of the students in the sample spent the weekend studying
and did well on the midterm.
a) 40
b) 50
c) 72.72
d) 80
ANSWER:
a
42. Referring to Table 2-6, if the sample is a good representation of the population, we can expect
_______ percent of the students in the population to spend the weekend studying and do poorly on
the midterm.
a) 10
b) 20
c) 45
d) 50
ANSWER:
a
_______ percent of those who spent the weekend studying to do poorly on the midterm.
a) 10
b) 20
c) 45
d) 50
ANSWER:
b
_______ percent of those who did poorly on the midterm to have spent the weekend studying.
a) 10
b) 22.22
c) 45
d) 50
ANSWER:
b
45. In a contingency table, the number of rows and columns

a) must always be the same.
b) must always be 2.
c) must add to 100%.
ANSWER:
d
46. Retailers are always interested in determining why a customer selected their store to make a
purchase. A sporting goods retailer conducted a customer survey to determine why its customers
shopped at the store. The results are shown in the bar chart below. What proportion of the
customers responded that they shopped at the store because of the merchandise or the convenience?
Prices 20%
Merchandise 50%
Convenience 15%
Other 15%
0% 10% 20% 30% 40% 50% 60%

Responses
a) 35%
b) 50%
c) 65%
d) 85%
ANSWER:
c
KEYWORDS: bar chart, interpretation
TABLE 2-7
The Stem-and-Leaf display below contains data on the number of months between the date a civil suit
is filed and when the case is actually adjudicated for 50 cases heard in superior court.
Stem Leaves
1L23444
1H 7899
2L222234
2H 55678889
3L001113
3H 5778
4L0234
4H 5579
5L1124
5H 66
6L15
6H 8
Note: 1L means the “low teens” – 10, 11, 12, 13, or 14; 1H means the “high teens” – 15, 16, 17, 18,
or 19; 2L means the “low twenties” – 20, 21, 22, 23, or 24, etc.
47. Referring to Table 2-7, locate the first leaf, i.e., the lowest valued leaf with the lowest valued stem.
This represents a wait of ________ months.
ANSWER:
12
TYPE: FI DIFFICULTY: 1 Easy

48. Referring to Table 2-7, the civil suit with the longest wait between when the suit was filed and
when it was adjudicated had a wait of ________ months.
ANSWER:
68
TYPE: FI DIFFICULTY: Easy
49. Referring to Table 2-7, the civil suit with the fourth shortest waiting time between when the suit
was filed and when it was adjudicated had a wait of ________ months.
ANSWER:
14
TYPE: FI DIFFICULTY: Moderate
50. Referring to Table 2-7, ________ percent of the cases were adjudicated within the first 2 years.
ANSWER:
30
51. Referring to Table 2-7, ________ percent of the cases were not adjudicated within the first 4 years.
ANSWER:
20
52. Referring to Table 2-7, if a frequency distribution with equal sized classes was made from this
data, and the first class was "10 but less than 20," the frequency of that class would be ________.
ANSWER:
9
data, and the first class was "10 but less than 20," the relative frequency of the third class would be
________.
ANSWER:
0.20 or 20% or 10/50
KEYWORDS: stem-and-leaf display, relative frequency distribution
data, and the first class was "10 but less than 20," the cumulative percentage of the second class
would be ________.
ANSWER:
46% or 0.46 or 23/50
KEYWORDS: stem-and-leaf display, cumulative percentage distribution
TABLE 2-8
The Stem-and-Leaf display represents the number of times in a year that a random sample of 100
"lifetime" members of a health club actually visited the facility.
Stem Leaves
0 012222233333344566666667789999
1 1111222234444455669999
2 00011223455556889
3 0000446799
4 011345567
5 0077
6 8
7 67
8 3
9 0247
55. Referring to Table 2-8, the person who has the largest leaf associated with the smallest stem visited
the facility ________ times.
ANSWER:
9
56. Referring to Table 2-8, the person who visited the health club less than anyone else in the sample
visited the facility ________ times.
ANSWER:
0 or no
57. Referring to Table 2-8, the person who visited the health club more than anyone else in the sample
visited the facility ________ times.
ANSWER:
97
58. Referring to Table 2-8, ________ of the 100 members visited the health club at least 52 times in a
year.
ANSWER:
10
59. Referring to Table 2-8, ________ of the 100 members visited the health club no more than 12
times in a year.
ANSWER:
38
data, and the first class was "0 but less than 10," the frequency of the fifth class would be
________.
ANSWER:
9
KEYWORDS: stem-and-leaf display, frequency distribution
data, and the first class was "0 but less than 10," the relative frequency of the last class would be
________.
ANSWER:
4% or 0.04 or 4/100
KEYWORDS: stem-and-leaf display, relative frequency distribution
data, and the first class was "0 but less than 10," the cumulative percentage of the next-to-last class
would be ________.
ANSWER:
96% or 0.96 or 96/100
KEYWORDS: stem-and-leaf display, cumulative percentage distribution
data, and the first class was "0 but less than 10," the class midpoint of the third class would be
________.
ANSWER:
25 or (20+30)/2
KEYWORDS: stem-and-leaf display, class midpoint
TABLE 2-9
The frequency distribution below represents the rents of 250 randomly selected federally subsidized
apartments in Minneapolis.
Rent in $ Frequency
300 but less than 400 113

64. Referring to Table 2-9, ________ apartments rented for at least $400 but less than $600.
ANSWER:
117
65. Referring to Table 2-9, ________ percent of the apartments rented for no less than $600.
ANSWER:
8% or 20/250
KEYWORDS: frequency distribution, cumulative percentage distribution
66. Referring to Table 2-9, ________ percent of the apartments rented for at least $500.
ANSWER:
20.8% or 52/250
67. Referring to Table 2-9, the class midpoint of the second class is ________.
ANSWER:
450
KEYWORDS: frequency distribution, class midpoint
68. Referring to Table 2-9, the relative frequency of the second class is ________.
ANSWER:
85/250 or 17/50 or 34% or 0.34
KEYWORDS: frequency distribution, relative frequency distribution
69. Referring to Table 2-9, the percentage of apartments renting for less than $600 is ________.
ANSWER:
230/250 or 23/25 or 92% or 0.92
TABLE 2-10
The histogram below represents scores achieved by 200 job applicants on a personality profile.
0.30 Rel.Freq.
0.20 0.20 0.20

0.20
0.10 0.10 0.10 0.10

0.10
0.00
0 10 20 30 40 50 60 70
70. Referring to the histogram from Table 2-10, ________ percent of the job applicants scored
between 10 and 20.
ANSWER:
20%
KEYWORDS: histogram, percentage distribution
71. Referring to the histogram from Table 2-10, ________ percent of the job applicants scored below
50.
ANSWER:
80%
KEYWORDS: histogram, percentage distribution
72. Referring to the histogram from Table 2-10, the number of job applicants who scored between 30
and below 60 is _______.
ANSWER:
80
KEYWORDS: histogram
73. Referring to the histogram from Table 2-10, the number of job applicants who scored 50 or above
is _______.
ANSWER:
40
KEYWORDS: histogram
74. Referring to the histogram from Table 2-10, 90% of the job applicants scored above or equal to
________.
ANSWER:
10
KEYWORDS: histogram, cumulative percentage distribution
75. Referring to the histogram from Table 2-10, half of the job applicants scored below ________.
ANSWER:
30
76. Referring to the histogram from Table 2-10, _______ percent of the applicants scored below 20 or
at least 50.
ANSWER:
50%
77. Referring to the histogram from Table 2-10, _______ percent of the applicants scored between 20
and below 50.
ANSWER:
50%
TABLE 2-11
The ordered array below resulted from taking a sample of 25 batches of 500 computer chips and
determining how many in each batch were defective.
Defects
1 2 4 4 5 5 6 7 9 9 12 12 15
17 20 21 23 23 25 26 27 27 28 29 29
78. Referring to Table 2-11, if a frequency distribution for the defects data is constructed, using "0 but
less than 5" as the first class, the frequency of the “20 but less than 25” class would be ________.
ANSWER:
4
79. Referring to Table 2-11, if a frequency distribution for the defects data is constructed, using "0 but
less than 5" as the first class, the relative frequency of the “15 but less than 20” class would be
________.
ANSWER:
0.08 or 8% or 2/25
KEYWORDS: relative frequency distribution
80. Referring to Table 2-11, construct a frequency distribution for the defects data, using "0 but less
than 5" as the first class.
ANSWER:
Defects Frequency
0 but less than 5 4
TYPE: PR DIFFICULTY: Easy
81. Referring to Table 2-11, construct a relative frequency or percentage distribution for the defects
data, using "0 but less than 5" as the first class.
ANSWER:
Defects Percentage
TYPE: PR DIFFICULTY: Moderate
KEYWORDS: relative frequency distribution, percentage distribution
82. Referring to Table 2-11, construct a cumulative percentage distribution for the defects data if the
corresponding frequency distribution uses "0 but less than 5" as the first class.
ANSWER:
Defects CumPct
0 0
5 16
10 40
15 48
20 56
25 72
30 100
KEYWORDS: cumulative percentage distribution
83. Referring to Table 2-11, construct a histogram for the defects data, using "0 but less than 5" as the
first class.
ANSWER:
Frequency 7
7
6
6
4 4
4
2 2
2
0
0 5 10 15 20 25 30
Number of Defects

KEYWORDS: histogram, frequency distribution
84. Referring to Table 2-11, construct a cumulative percentage polygon for the defects data if the
corresponding frequency distribution uses "0 but less than 5" as the first class.
ANSWER:

KEYWORDS: cumulative percentage polygon
85. The point halfway between the boundaries of each class interval in a grouped frequency
distribution is called the _______.
ANSWER:
class midpoint
KEYWORDS: cumulative percentage polygon, frequency distribution
86. A _______ is a vertical bar chart in which the rectangular bars are constructed at the boundaries of
each class interval.
ANSWER:
histogram
KEYWORDS: histogram
87. It is essential that each class grouping or interval in a frequency distribution be ________.
ANSWER:
non-overlapping and of equal width
KEYWORDS: frequency distribution, class interval
88. In order to compare one large batch of numerical data to another, a ________ distribution must be
developed from the frequency distribution.
ANSWER:
relative frequency or percentage
89. When comparing two or more large batches of numerical data, the distributions being developed
should use the same ________.
ANSWER:
class boundaries.
KEYWORDS: class boundaries
90. The width of each class grouping or interval in a frequency distribution should be ________.
ANSWER:
the same or equal
KEYWORDS: class interval, frequency distribution
91. In constructing a polygon, each class grouping is represented by its _______ and then these are
consecutively connected to one another.
ANSWER:
midpoint
KEYWORDS: polygon, class interval, midpoint
92. A _______ is a summary table in which numerical data are tallied into class intervals or categories.
ANSWER:
frequency distribution
93. True or False: In general, grouped frequency distributions should have between 5 and 15 class
intervals.
ANSWER:
True
TYPE: TF DIFFICULTY: Easy
KEYWORDS: frequency distribution, number of classes
94. True or False: The sum of relative frequencies in a distribution always equals 1.
ANSWER:
True
KEYWORDS: relative frequency
95. True or False: The sum of cumulative frequencies in a distribution always equals 1.
ANSWER:
False
TYPE: TF DIFFICULTY: Moderate
KEYWORDS: cumulative frequency distribution
96. True or False: In graphing bivariate categorical data, the side-by-side bar chart is best suited when
primary interest is in demonstrating differences in magnitude rather than differences in percentages.
ANSWER:
True
KEYWORDS: side-by-side chart
97. True or False: When constructing a frequency distribution, classes should be selected in such a way
that they are of equal width.
ANSWER:
True
98. True or False: A research analyst was directed to arrange raw data collected on the yield of wheat,
ranging from 40 to 93 bushels per acre, in a frequency distribution. He should choose 30 as the
class interval width.
ANSWER:
False
99. True or False: If the values of the seventh and eighth class in a cumulative frequency distribution
are the same, we know that there are no observations in the eighth class.
ANSWER:
True
KEYWORDS: cumulative frequency distribution
100. True or False: Research on Human perception concludes that the bar chart is preferred to the pie
chart, because the human eye can more accurately judge length comparisons against a fixed scale
(as in a bar chart) than angular measures (as in a pie chart).
ANSWER:
True
KEYWORDS: bar chart, pie chart
101. True or False: One of the advantages of a pie chart is that it clearly shows that the total of all the
categories of the pie adds to 100%.
ANSWER:
True
KEYWORDS: pie chart
102. True or False: The larger the number of observations in a numerical data set, the larger the
number of class intervals needed for a grouped frequency distribution.
ANSWER:
True
KEYWORDS: class interval, frequency distribution
103. True or False: Determining the class boundaries of a frequency distribution is highly subjective.
ANSWER:
True
KEYWORDS: class boundaries, frequency distribution
104. True or False: The original data values cannot be assessed once they are grouped into a
frequency distribution table.
ANSWER:
True
105. True or False: The percentage distribution cannot be constructed from the frequency distribution
directly.
ANSWER:
False
KEYWORDS: percentage distribution, frequency distribution
106. True or False: The stem-and-leaf display is often superior to the frequency distribution in that it
maintains the original values for further analysis.
ANSWER:
True
KEYWORDS: stem-and-leaf display, frequency distribution
107. True or False: The relative frequency is the frequency in each class divided by the total number
of observations.
ANSWER:
True
KEYWORDS: relative frequency distribution
108. True or False: Ogives are plotted at the midpoints of the class groupings.
ANSWER:
False
KEYWORDS: ogives, midpoint
109. True or False: Percentage polygons are plotted at the boundaries of the class groupings.
ANSWER:
False
KEYWORDS: percentage polygons
110. True or False: The main principle behind the Pareto diagram is the ability to track the "vital few"
from the "trivial many."
ANSWER:
True
111. True or False: A histogram can have gaps between the bars, whereas bar charts cannot have
gaps.
ANSWER:
False
KEYWORDS: histogram, bar chart
112. True or False: Histograms are used for numerical data while bar charts are suitable for
categorical data.
ANSWER:
True
KEYWORDS: histogram, bar chart
113. True or False: A Wal-Mart store in a small town monitors customer complaints and organizes

these complaints into six distinct categories. Over the past year, the company has received 534
complaints. One possible graphical method for representing these data would be a Pareto chart.
ANSWER:
True
114. True or False: Apple Computer, Inc. collected information on the age of their customers. The
youngest customer was 12 and the oldest was 72. To study the distribution of the age among its
customers, it can use a Pareto diagram.
ANSWER:
False
customers, it is best to use a pie chart.
ANSWER:
False
KEYWORDS: pie chart
customers, it can use a percentage polygon.
ANSWER:
True
youngest customer was 12 and the oldest was 72. To study the percentage of their customers who
are below a certain age, it can use an ogive.
ANSWER:
True
KEYWORDS: ogive
118. True or False: If you wish to construct a graph of a relative frequency distribution, you would
most likely construct an ogive first.
ANSWER:
False
KEYWORDS: Ogive
119. True or False: An ogive is a cumulative percentage polygon.
ANSWER:
True
KEYWORDS: Ogive, cumulative percentage polygon
120. True or False: A side-by-side chart is two histograms plotted side-by-side.

ANSWER:
False
KEYWORDS: side-by-side chart
121. True or False: A good choice for the number of class groups to use in constructing frequency
distribution is to have at least 5 but no more than 15 class groups.
ANSWER:
True
KEYWORDS: number of classes
122. True or False: In general, a frequency distribution should have at least 8 class groups but no
more than 20.
ANSWER:
False
KEYWORDS: number of classes
123. True of False: To determine the width of class interval, divide the number of class groups by the
range of the data.
ANSWER:
False
KEYWORDS: class interval
124. True or False: The percentage polygon is formed by having the lower boundary of each class
represent the data in that class and then connecting the sequence of lower boundaries at their
respective class percentages.
ANSWER:
False
125. True or False: A polygon can be constructed from a bar chart.
ANSWER:
False
KEYWORDS: polygon
126. To evaluate two categorical variables at the same time, a _______ could be developed.
ANSWER:
contingency or cross-classification table or side-by-side bar chart
KEYWORDS: contingency table, cross-classification table
127. Relationships in a contingency table can be examined more fully if the frequencies are converted
into _______ .
ANSWER:
percentages or proportions
TABLE 2-12
The table below contains the opinions of a sample of 200 people broken down by gender about the
latest congressional plan to eliminate anti-trust exemptions for professional baseball.
For Neutral Against Totals

Female 38 54 12 104
Male 12 36 48 96
Totals 50 90 60 200
128. Referring to Table 2-12, construct a table of row percentages.
ANSWER:
Female 36.54 51.92 11.54 100.00
Male 12.50 37.50 50.00 100.00
Totals 25.00 45.00 30.00 100.00
KEYWORDS: row percentages
129. Referring to Table 2-12, construct a table of column percentages.
ANSWER:
Female 76.00 60.00 20.00 52.00
Male 24.00 40.00 80.00 48.00
Totals 100.00 100.00 100.00 100.00
KEYWORDS: column percentages
130. Referring to Table 2-12, construct a table of total percentages.
ANSWER:
Female 19.00 27.00 6.00 52.00
Male 6.00 18.00 24.00 48.00
Totals 25.00 45.00 30.00 100.00
KEYWORDS: total percentages
131. Referring to Table 2-12, of those for the plan in the sample, ________ percent were females.
ANSWER:
76%
KEYWORDS: contingency table, column percentages
132. Referring to Table 2-12, of those neutral in the sample, ________ percent were males.
ANSWER:
40%
133. Referring to Table 2-12, of the males in the sample, ________ percent were for the plan.
ANSWER:
12.50%
134. Referring to Table 2-12, of the females in the sample, ________ percent were against the plan.
ANSWER:
11.54%
135. Referring to Table 2-12, of the females in the sample, ________ percent were either neutral or
against the plan.
ANSWER:
63.46% or (51.92+11.54)%
136. Referring to Table 2-12, ________ percent of the 200 were females who were against the plan.
ANSWER:
6%
137. Referring to Table 2-12, ________ percent of the 200 were males who were neutral.
ANSWER:
18%
138. Referring to Table 2-12, ________ percent of the 200 were females who were either neutral or
against the plan.
ANSWER:
33%
TYPE: FI DIFFICULTY: Difficult
139. Referring to Table 2-12, _______ percent of the 200 were males who were not against the plan.
ANSWER:
24%
140. Referring to Table 2-12, _______ percent of the 200 were not neutral.
ANSWER:
55%
KEYWORDS: contingency table, row percentages
141. Referring to Table 2-12, _______ percent of the 200 were against the plan.
ANSWER:
30%
142. Referring to Table 2-12, ________ percent of the 200 were males.
ANSWER:
48%
_______ percent of the population will be for the plant.
ANSWER:
25%
_______ percent of the population will be males.
ANSWER:
48%
_______ percent of those for the plan in the population will be males.
ANSWER:
24%

_______ percent of the males in the population will be against the plan.
ANSWER:
50%
_______ percent of the females in the population will not be against the plan.
ANSWER:
88.46% or (36.54+51.92)
TABLE 2-13
Given below is the stem-and-leaf display representing the amount of detergent used in gallons (with
leaves in 10ths of gallons) in a month by 25 drive-through car wash operations in Phoenix.
9 | 147
10 | 02238
11 | 135566777
12 | 223489
13 | 02
148. Referring to Table 2-13, if a frequency distribution for the amount of detergent used is
constructed, using "9.0 but less than 10.0 gallons" as the first class, the frequency of the “11.0 but
less than 12.0 gallons” class would be ________.
ANSWER:
9
149. Referring to Table 2-13, if a percentage histogram for the detergent data is constructed, using
"9.0 but less than 10.0 gallons" as the first class, the percentage of drive-through car wash
operations that use “12.0 but less than 13.0 gallons” of detergent would be ________.
ANSWER:
24%
150. Referring to Table 2-13, if a percentage histogram for the detergent data is constructed, using
"9.0 but less than 10.0 gallons" as the first class, what percentage of drive-through car wash
operations use less than 12 gallons of detergent in a month?
ANSWER:
68%
KEYWORDS: percentage distribution, cumulative relative frequency
151. Referring to Table 2-13, if a relative frequency or percentage distribution for the detergent data is
constructed, using "9.0 but less than 10.0 gallons" as the first class, what percentage of drive-
through car wash operations use at least 10 gallons of detergent in a month?
ANSWER:
88%
152. Referring to Table 2-13, if a relative frequency or percentage distribution for the detergent data is
constructed, using "9.0 but less than 10.0 gallons" as the first class, what percentage of drive-
through car wash operations use at least 10 gallons but less than 13 gallons of detergent in a
month?
ANSWER:
80%
153. Referring to Table 2-13, construct a frequency distribution for the detergent data, using "9.0 but
less than 10.0 gallons" as the first class.
ANSWER:
Purchases (gals) Frequency
9.0 but less than 10.0 3
154. Referring to Table 2-13, construct a relative frequency or percentage distribution for the
detergent data, using "9.0 but less than 10.0" as the first class.
ANSWER:
Gasoline
Purchases (gals) Percentage
9.0 but less than 10.0 12%
155. Referring to Table 2-13, construct a cumulative percentage distribution for the detergent data if
the corresponding frequency distribution uses "9.0 but less than 10.0" as the first class.
ANSWER:
Gasoline Frequency Percentage
Purchases (gals) Less Than Less Than
9.0 but less than 10.0 3 12
10.0 but less than 11.0 8 32
11.0 but less than 12.0 17 68
12.0 but less than 13.0 23 92
13.0 but less than 14.0 25 100
KEYWORDS: cumulative percentage distribution
156. Referring to Table 2-13, construct a percentage histogram for the detergent data, using "9.0 but
less than 10.0" as the first class.
ANSWER:
% Histogram
40
35
30
25
20
%
15
10
5
0
9.0 -- 9.9 10.0 -- 10.9 11.0 -- 11.9 12.0 -- 12.9 13.0 -- 13.9
Purchased

KEYWORDS: histogram, frequency distribution
157. Referring to Table 2-13, construct a cumulative percentage polygon for the detergent data if the
corresponding frequency distribution uses "9.0 but less than 10.0" as the first class.
ANSWER:
Ogive
100
80
60
%
40
20
0
9 10 11 12 13 14
Purchase

KEYWORDS: cumulative percentage polygon
158. Referring to Table 2-13, construct a percentage polygon for the detergent data if the
corresponding frequency distribution uses "9.0 but less than 10.0" as the first class.
ANSWER:
% Polygon
40
35
30
25
20 %
%
15
10
5
0
8.5 9.5 10.5 11.5 12.5 13.5 14.5
Purchase

KEYWORDS: percentage distribution
TABLE 2-14
The table below contains the number of people who own a portable DVD player in a sample of 600
broken down by gender.
Own a Portable
DVD Player Male Female
Yes 96 40
No 224 240
159. Referring to Table 2-14, construct a table of row percentages.
ANSWER:
Own Male Female Total
Yes 70.59% 29.41% 100.00%
No 48.28% 51.72% 100.00%
Total 53.33% 46.67% 100.00%

KEYWORDS: row percentages
ANSWER:
Yes 30.00% 14.29% 22.67%
No 70.00% 85.71% 77.33%
Total 100.00% 100.00% 100.00%
161. Referring to Table 2-12, construct a table of total percentages.
ANSWER:
Yes 16.00% 6.67% 22.67%
No 37.33% 40.00% 77.33%
Total 53.33% 46.67% 100.00%
KEYWORDS: total percentages
162. Referring to Table 2-14, of those who owned a portable DVD in the sample, ________ percent
were females.
ANSWER:
29.41%
163. Referring to Table 2-14, of those who did not own a portable DVD in the sample, ________
percent were males.
ANSWER:
48.28%
164. Referring to Table 2-14, of the males in the sample, ________ percent owned a portable DVD.
ANSWER:
30%
165. Referring to Table 2-14, of the females in the sample, ________ percent did not own a portable
DVD.
ANSWER:
85.71%
166. Referring to Table 2-14, of the females in the sample, ________ percent owned a portable DVD.
ANSWER:
14.29%
167. Referring to Table 2-14, ________ percent of the 600 were females who owned a portable DVD.
ANSWER:
6.67%
KEYWORDS: contingency table, total percentage
168. Referring to Table 2-14, ________ percent of the 600 were males who owned a portable DVD.
ANSWER:
16%
169. Referring to Table 2-14, ________ percent of the 600 were females who either owned or did not
own a portable DVD.
ANSWER:
46.67%
170. Referring to Table 2-14, _______ percent of the 600 were males who did not owned a portable
DVD.
ANSWER:
37.33%
171. Referring to Table 2-14, _______ percent of the 600 owned a portable DVD.
ANSWER:
22.67%
172. Referring to Table 2-14, _______ percent of the 600 did not owned a portable DVD.
ANSWER:
77.33%
173. Referring to Table 2-14, ________ percent of the 600 were females.
ANSWER:
46.67%
_______ percent of the population will own a portable DVD.
ANSWER:
22.67%
_______ percent of the population will be males.
ANSWER:
53.33%
_______ percent of those who own a portable DVD in the population will be males.
ANSWER:
70.59%
_______ percent of the males in the population will own a portable DVD.
ANSWER:
30%
_______ percent of the females in the population will not own a portable DVD.
ANSWER:
85.71%
TABLE 2-15
The figure below is the ogive for the amount of fat (in grams) for a sample of 36 pizzas products where
the upper boundaries of the intervals are: 5, 10, 15, 20, 25, and 30.
Cumulative Percentage Polygon for Fat
120%
100%
80%
60%
40%
20%
0%
-0.01 4.99 9.99 14.99 19.99 24.99 29.99 34.99
Fat (grams)
179. Referring to Table 2-14, roughly what percentage of pizza products contains less than 10 grams
of fat?
a) 3%
b) 14%
c) 50%
d) 75%
ANSWER:
b
KEYWORDS: cumulative percentage polygon, ogive, interpretation
180. Referring to Table 2-14, what percentage of pizza products contains at least 20 grams of fat?
a) 5%
b) 25%
c) 75%
d) 96%
ANSWER:
b
181. Referring to Table 2-14, what percentage of pizza products contains between 10 and 25 grams of
fat?
a) 14%
b) 44%
c) 62%
d) 81%
ANSWER:
d
TABLE 2-16
The figure below is the percentage polygon for the amount of calories for a sample of 36 pizzas
products where the upper limits of the intervals are: 310, 340, 370, 400 and 430.
Percentage Polygon for Calories
30%
25%
20%
15%
10%
5%
0%
264.99 294.99 324.99 354.99 384.99 414.99 444.99
Calories
182. Referring to Table 2-15, roughly what percentage of pizza products contains between 400 and
430 calories?
a) 0%
b) 11%
c) 89%
d) 100%
ANSWER:
b
KEYWORDS: percentage polygon, interpretation
183. Referring to Table 2-15, roughly what percentage of pizza products contains between 340 and
400 calories?
a) 22%
b) 25%
c) 28%
d) 50%
ANSWER:
d
184. Referring to Table 2-15, roughly what percentage of pizza products contains at least 340
calories?
a) 25%
b) 28%
c) 39%
d) 61%
ANSWER:
d
TABLE 2-17
The following table presents total retail sales in millions of dollars for the leading apparel companies
during April 2001 and April 2002.
APPAREL COMPANY April 01 April 02

Gap 1,159.00 962
TJX 781.7 899
Limited 596.5 620.4
Kohl’s 544.9 678.9
Nordstrom 402.6 418.3
Talbots 139.9 130.1
AnnTaylor 114.2 124.8
ANSWER:
Apparel Company April 2001 April 2002

Gap 31.00% 25.09%
TJX 20.91% 23.45%
Limited 15.95% 16.18%
Kohl's 14.57% 17.71%
Nordstrom 10.77% 10.91%
Talbots 3.74% 3.39%
AnnTaylor 3.05% 3.26%
Total 100.00% 100.00%
186. Referring to Table 2-17, construct a side-by-side bar chart.

ANSWER:

KEYWORDS: column percentages, side-by-side chart
187. True or False: Referring to Table 2-17, in general, retail sales for the apparel industry have seen
a modest growth between April 2001 and April 2002.
ANSWER:
True
KEYWORDS: column percentages, side-by-side chart, interpretation
188. Referring to Table 2-17, among the 8 stores, _______ saw a sales decline.
ANSWER:
Gap and Talbots
KEYWORDS: column percentages, side-by-side chart, interpretation

Chap02 TIF BBS11

Uploaded by

Copyright:

Available Formats

Chap02 TIF BBS11

Uploaded by

Document Information

Original Description:

Original Title

Copyright

Available Formats

Share this document

Share or Embed Document

Sharing Options

Did you find this document useful?

Is this content inappropriate?

Copyright:

Available Formats

Chap02 TIF BBS11

Uploaded by

Copyright:

Available Formats

Chapter 2 Presenting Data in Tables and Charts 31

CHAPTER 2: PRESENTING DATA IN TABLES AND

6. The width of each bar in a histogram corresponds to the

d) percentage of observations in each class.

KEYWORDS: polygon, histogram

15. Referring to Table 2-5, what is the width of each class?

TYPE: MC DIFFICULTY: Easy

KEYWORDS: choice of chart, bar chart

Did Well in Midterm Did Poorly in Midterm

45. In a contingency table, the number of rows and columns

0% 10% 20% 30% 40% 50% 60%

TYPE: FI DIFFICULTY: 1 Easy

KEYWORDS: stem-and-leaf display, interpretation

500 but less than 600 32

0.20 0.20 0.20

0.10 0.10 0.10 0.10

TYPE: PR DIFFICULTY: Easy

TYPE: PR DIFFICULTY: Moderate

KEYWORDS: pie chart

113. True or False: A Wal-Mart store in a small town monitors customer complaints and organizes

119. True or False: An ogive is a cumulative percentage polygon.

120. True or False: A side-by-side chart is two histograms plotted side-by-side.

125. True or False: A polygon can be constructed from a bar chart.

KEYWORDS: contingency table, cross-classification table

For Neutral Against Totals

128. Referring to Table 2-12, construct a table of row percentages.

129. Referring to Table 2-12, construct a table of column percentages.

130. Referring to Table 2-12, construct a table of total percentages.

TYPE: FI DIFFICULTY: Moderate

TYPE: PR DIFFICULTY: Moderate

TYPE: PR DIFFICULTY: Moderate

TYPE: PR DIFFICULTY: Moderate

159. Referring to Table 2-14, construct a table of row percentages.

TYPE: PR DIFFICULTY: Easy

160. Referring to Table 2-14, construct a table of column percentages.

161. Referring to Table 2-12, construct a table of total percentages.

KEYWORDS: contingency table, row percentages

APPAREL COMPANY April 01 April 02

185. Referring to Table 2-17, construct a table of column percentages.

Apparel Company April 2001 April 2002

186. Referring to Table 2-17, construct a side-by-side bar chart.

TYPE: PR DIFFICULTY: Moderate

You might also like