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Administrative Studies

ADMS 2320

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CHAPTER 2 SECTION 3: GRAPHICAL AND TABULAR DESCRIPTIVE
TECHNIQUES
MULTIPLE CHOICE
65. Which of the following represents a graphical presentation of interval data?
a. A bar chart.
b. A histogram.
c. A pie chart.
d. All of these choices are true.
ANS: B PTS: 1 REF: SECTION 2.3
66. Which of the following statements about histograms is false?
a. A histogram is a summary of interval data.
b. A histogram is made of a series of intervals, called classes.
c. The classes in a histogram cover the complete range of observations.
d. All of these choices are true.
ANS: D PTS: 1 REF: SECTION 2.3
67. Which of the following statements about histograms is false?
a. The intervals of a histogram do not overlap.
b. Every observation is assigned to one and only one class in a histogram.
c. The intervals of a histogram are equally wide.
d. None of these choices.
ANS: D PTS: 1 REF: SECTION 2.3
68. Which of the following describes the shape of the histogram below?
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. a. Positively skewed
b. Negatively skewed
c. Symmetric
d. None of these choices
ANS: C PTS: 1 REF: SECTION 2.3
69. The relative frequency of a class in a histogram is computed by
a. dividing the frequency of the class by the number of classes.
b. dividing the frequency of the class by the class width.
c. dividing the frequency of the class by the total of all frequencies.
d. None of these choices.
ANS: C PTS: 1 REF: SECTION 2.3
70. Compare the two histograms below. Which statement is true?
This edition is intended copied, or distributed without the prior consent of the publisher.nt from the U.S. Edition. This may not be resold, a. The center of histogram A is lower than the center of histogram B.
b. The center of histogram A is higher than the center of histogram B.
c. The center of histogram A is the same as the center of histogram B.
d. You cannot compare the centers of these two histograms without the original data.
ANS: A PTS: 1 REF: SECTION 2.3
71. Compare the two histograms below. Which statement is true?
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. a. The spread of histogram A is smaller than the spread of histogram B.
b. The spread of histogram A is larger than the spread of histogram B.
c. The spread of histogram A is the same as the spread of histogram B.
d. You cannot compare the spreads of these two histograms without the original data.
ANS: C PTS: 1 REF: SECTION 2.3
72. Compare the two histograms below. Which statement is true?
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. a. The shape of histogram A is the same as the shape of histogram B.
b. The shape of histogram A is positively skewed compared to histogram B.
c. The shape of histogram A is negatively skewed compared to histogram B.
d. You cannot compare the shapes of these two histograms without the original data.
ANS: A PTS: 1 REF: SECTION 2.3
73. A modal class in a histogram is the class that includes
a. the largest number of observations.
b. the smallest number of observations.
c. the largest observation in the data set.
d. the smallest observation in the data set.
ANS: A PTS: 1 REF: SECTION 2.3
74. The sum of the relative frequencies for all classes in a histogram always equals
a. the number of classes.
b. the class width.
c. the total of all the frequencies.
d. one.
ANS: D PTS: 1 REF: SECTION 2.3
75. Which of the following statements about shapes of histograms is true?
a. A histogram is said to be symmetric if, when we draw a vertical line down the center of
the histogram, the two sides are identical in shape and size.
b. A negatively skewed histogram is one with a long tail extending to the left.
c. A positively skewed histogram is one with a long tail extending to the right.
d. All of these choices are true.
ANS: D PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 76. Compare the spread of the two histograms below. Which of the following is true?
a. Data Set A has a larger spread than Data Set B.
b. Data Set A has a smaller spread than Data Set B.
c. Data Set A has the same spread as Data Set B.
d. You cannot compare the spreads of these histograms without the original data.
ANS: B PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 77. Which of the following is true about a stem-and-leaf display?
a. You can recreate the original data set from it.
b. Its shape resembles a histogram turned on its side.
c. It provides an organized way to depict interval data.
d. All of these choices are true.
ANS: D PTS: 1 REF: SECTION 2.3
78. What does the length of each line of a stem-and-leaf display represent?
a. The percentage of observations in the interval represented by that stem.
b. The number of observations in the interval represented by that stem.
c. The total frequency of observations within or below that stem.
d. The number of digits to the left of the decimal point.
ANS: B PTS: 1 REF: SECTION 2.3
79. What values are displayed on a cumulative relative frequency distribution?
a. The number of observations that fall into each class interval.
b. The proportion of observations that fall into each class interval.
c. The number of observations that fall below each class interval.
d. The proportion of observations that fall below each class interval.
ANS: D PTS: 1 REF: SECTION 2.3
80. Which of the following describes an ogive?
a. A graphical representation of frequencies.
b. A graphical representation of relative frequencies.
c. A graphical representation of cumulative frequencies.
d. A graphical representation of cumulative relative frequencies.
ANS: D PTS: 1 REF: SECTION 2.3
TRUE/FALSE
81. The intervals (classes) in a histogram do not overlap.
ANS: T PTS: 1 REF: SECTION 2.3
82. The intervals (classes) in a histogram are equally wide.
ANS: T PTS: 1 REF: SECTION 2.3
83. In a histogram, each observation is assigned to one or more classes.
ANS: F PTS: 1 REF: SECTION 2.3
84. The number of class intervals in a histogram depends on the number of observations in the data set.
ANS: T PTS: 1 REF: SECTION 2.3
85. A relative frequency distribution describes the proportion of data values that fall within each category.
ANS: T PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 86. A stem-and-leaf display reveals more information about the original data than does a histogram.
ANS: T PTS: 1 REF: SECTION 2.3
87. The number of observations within each class may be found in a frequency distribution.
ANS: T PTS: 1 REF: SECTION 2.3
88. The advantage of a stem-and-leaf display over a histogram is that we can see the actual observations.
ANS: T PTS: 1 REF: SECTION 2.3
89. According to the stem-and-leaf plot below, the median quiz score for this data set is 8.
Stem-and-leaf of Quiz Score; N = 75
Leaf Unit = 1
9 0 000112333
14 0 56899
21 1 0000123
26 1 66699
33 2 3334445
(8) 2 66677888
34 3 0023344
27 3 56669999
19 4 000122233
10 4 5556667799
ANS: F PTS: 1 REF: SECTION 2.3
90. A cumulative relative frequency distribution lists the number of observations that lie below each of the
class limits.
ANS: F PTS: 1 REF: SECTION 2.3
91. According to the stem-and-leaf plot below, this data set has a negative median.
Stem-and-leaf of P/E ratio; N = 75
Leaf Unit = 0.01
1 −2 6
2 −2 0
5 −1 555
8 −1 420
22 −0 99999887777665
36 −0 44322111111000
(14) 0 01122233333344
25 0 66678889999
14 1 0022222334
4 1 56
2 2 03
ANS: F PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 92. A histogram represents interval data.
ANS: T PTS: 1 REF: SECTION 2.3
93. A stem-and-leaf display represents nominal data.
ANS: F PTS: 1 REF: SECTION 2.3
94. According to the stem-and-leaf plot below, this data set is symmetric.
Stem-and-leaf of P/E ratio; N = 10
Leaf Unit = 0.10
2 −1 53
4 97
−0
(2) −0 65
4 0 3
3 0 6
2 1 3
1 1 8
ANS: F PTS: 1 REF: SECTION 2.3
95. When a distribution has more values to the left and tails off to the right, it is skewed negatively.
ANS: F PTS: 1 REF: SECTION 2.3
96. A histogram is said to be symmetric if, when we draw a vertical line down the center of the histogram
the two sides are nearly identical.
ANS: T PTS: 1 REF: SECTION 2.3
97. A skewed histogram is one with a long tail extending either to the right or left.
ANS: F PTS: 1 REF: SECTION 2.3
98. When a distribution has more values to the right and tails to the left, we say it is skewed negatively.
ANS: T PTS: 1 REF: SECTION 2.3
99. The sum of relative frequencies in a distribution always equals 1.
ANS: T PTS: 1 REF: SECTION 2.3
100. The sum of cumulative relative frequencies always equals 1.
ANS: F PTS: 1 REF: SECTION 2.3
101. The original observations cannot be determined once they are grouped into a frequency distribution.
ANS: T PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 102. A modal class is the class with the largest number of observations.
ANS: T PTS: 1 REF: SECTION 2.3
103. Experience shows that few students hand in their statistics exams early; most prefer to hand them in
near the end of the test period. This means the time taken by students to write exams is positively
skewed.
ANS: F PTS: 1 REF: SECTION 2.3
104. The graph below is an example of a histogram.
ANS: F PTS: 1 REF: SECTION 2.3
COMPLETION
105. We create a frequency distribution for interval data by counting the number of observations that fall
into each of a series of intervals, called ____________________.
ANS: classes
PTS: 1 REF: SECTION 2.3
106. The more observations we have, the ____________________ the number of class intervals we need to
use to draw a useful histogram.
ANS:
larger
higher
greater
PTS: 1 REF: SECTION 2.3
107. A graph of the frequency distribution for interval data is called a(n) ____________________.
ANS: histogram
PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 108. We determine the approximate width of the classes of a histogram by subtracting the smallest
observation from the largest and dividing the answer by the number of ____________________.
ANS:
classes
intervals
PTS: 1 REF: SECTION 2.3
109. A histogram is said to be ____________________ if, when we draw a vertical line down the center of
the histogram, the two sides are identical in shape and size.
ANS:
symmetric
symmetrical
PTS: 1 REF: SECTION 2.3
110. A(n) ____________________ histogram is one with a long tail extending to either the right or the left.
ANS: skewed
PTS: 1 REF: SECTION 2.3
111. The histogram below has a shape that is ____________________.
ANS:
symmetric
symmetrical
bell shaped
bell-shaped
PTS: 1 REF: SECTION 2.3
This edition is intended for use outside of the U.S. only, with content that may be different from the U.S. Edition. This may not be resold,
copied, or distributed without the prior consent of the publisher. 112. It is typical that when taking an exam, few students hand in their exams early; most prefer to reread
their papers and hand them in near the end of the scheduled exam period. Under this scenario, a
histogram of exam taking times is ____________________ skewed.
ANS: negatively
PTS: 1 REF: SECTION 2.3
113. In a histogram a(n) ____________________ class is the one with the largest number of observations.
ANS: modal
PTS: 1 REF: SECTION 2.3
114. A(n) ____________________ histogram has two peaks, not necessarily equal in height.
ANS: bimodal

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