Numerical Descriptive Measures 89
TABLE 3-3
The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days.
Stem Leaves 1H 99 2L 0023 2H 567 3L 034 3H 568 4L 1
Note (1): 1H means the “high teens” – 15, 16, 17, 18, or 19; 2L means the “low twenties” – 20, 21,
22, 23, or 24; 2H means the “high twenties” – 25, 26, 27, 28, or 29, etc.
Note (2): For this sample, the sum of the observations is 448, the sum of the squares of the observations is 13,356, and the sum of the squared differences between each observation and the mean is 812.
75. Referring to Table 3-3, the arithmetic mean of the number of vitamin supplements sold in this
sample is ________.
ANSWER: 28
TYPE: FI DIFFICULTY: Easy KEYWORDS: arithmetic mean
76. Referring to Table 3-3, the first quartile of the number of vitamin supplements sold in this
sample is ________.
ANSWER: 20
TYPE: FI DIFFICULTY: Moderate KEYWORDS: quartiles
77. Referring to Table 3-3, the third quartile of the number of vitamin supplements sold in this
sample is ________.
ANSWER:
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90 Numerical Descriptive Measures
35
TYPE: FI DIFFICULTY: Moderate KEYWORDS: quartiles
78. Referring to Table 3-3, the median number of vitamin supplements sold in this sample is
________.
ANSWER: 26.5
TYPE: FI DIFFICULTY: Moderate KEYWORDS: median
79. Referring to Table 3-3, the range of the number of vitamin supplements sold in this sample is
________.
ANSWER: 22
TYPE: FI DIFFICULTY: Easy KEYWORDS: range
80. Referring to Table 3-3, the interquartile range of the number of vitamin supplements sold in this
sample is ________.
ANSWER: 15
TYPE: FI DIFFICULTY: Moderate KEYWORDS: interquartile range
81. Referring to Table 3-3, the variance of the number of vitamin supplements sold in this sample is
________.
ANSWER: 54.1
TYPE: FI DIFFICULTY: Easy KEYWORDS: variance
82. Referring to Table 3-3, the standard deviation of the number of vitamin supplements sold in this
sample is ________.
ANSWER: 7.4
TYPE: FI DIFFICULTY: Easy KEYWORDS: standard deviation
83. Referring to Table 3-3, the coefficient of variation of the number of vitamin supplements sold in
this sample is ________ percent.
ANSWER: 26.3%
TYPE: FI DIFFICULTY: Moderate
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Numerical Descriptive Measures 91
KEYWORDS: coefficient of variation
84. Referring to Table 3-3, the five-number summary of the data in this sample consists of ________,
________, ________, ________, ________.
ANSWER:
19, 20, 26.5, 35, 41
TYPE: FI DIFFICULTY: Moderate KEYWORDS: five-number summary
85. Referring to Table 3-3, construct a boxplot for the data in this sample.
Box-and-whisker Plot 10203040ANSWER:
TYPE: PR DIFFICULTY: Moderate KEYWORDS: boxplot
86. Referring to Table 3-3, what type of shape does the distribution of the sample appear to have?
ANSWER:
Slightly positive or right-skewed. TYPE: PR DIFFICULTY: Moderate KEYWORDS: shape
TABLE 3-4
The stem-and-leaf display below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days. STEM LEAVES 1H 67889 2L 0011122223333444 2H 5566678899
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92 Numerical Descriptive Measures
3L 1122
Note (1): 1H means the “high teens” – 15, 16, 17, 18, or 19; 2L means the “low twenties” – 20, 21, 22, 23, or 24; 2H means the “high twenties” – 25, 26, 27, 28, or 29, etc.
Note (2): For this sample, the sum of the observations is 838, the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89.
87. Referring to Table 3-4, the arithmetic mean of the customs data is ________.
ANSWER: 23.9
TYPE: FI DIFFICULTY: Easy KEYWORDS: arithmetic mean
88. Referring to Table 3-4, the median of the customs data is ________.
ANSWER: 23
TYPE: FI DIFFICULTY: Moderate KEYWORDS: median
89. Referring to Table 3-4, the first quartile of the customs data is ________.
ANSWER: 21
TYPE: FI DIFFICULTY: Moderate KEYWORDS: quartiles
90. Referring to Table 3-4, the third quartile of the customs data is ________.
ANSWER: 27
TYPE: FI DIFFICULTY: Moderate KEYWORDS: quartiles
91. Referring to Table 3-4, the range of the customs data is ________.
ANSWER: 16
TYPE: FI DIFFICULTY: Easy KEYWORDS: range
92. Referring to Table 3-4, the interquartile range of the customs data is ________.
ANSWER: 6
TYPE: FI DIFFICULTY: Moderate KEYWORDS: interquartile range
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Numerical Descriptive Measures 93
93. Referring to Table 3-4, the variance of the customs data is ________.
ANSWER: 18.2
TYPE: FI DIFFICULTY: Easy KEYWORDS: variance
94. Referring to Table 3-4, the standard deviation of the customs data is ________.
ANSWER: 4.3
TYPE: FI DIFFICULTY: Easy KEYWORDS: standard deviation
95. Referring to Table 3-4, the coefficient of variation of the customs data is ________ percent.
ANSWER: 17.8% or 18%
TYPE: FI DIFFICULTY: Moderate KEYWORDS: coefficient of variation
96. Referring to Table 3-4, the five-number summary for the data in the customs sample consists of
________, ________, ________, ________, ________.
ANSWER:
16, 21, 23, 27, 32
TYPE: FI DIFFICULTY: Moderate KEYWORDS: five-number summary
97. Referring to Table 3-4, construct a boxplot of this sample.
Box-and-whisker Plot 101520253035ANSWER:
TYPE: PR DIFFICULTY: Moderate KEYWORDS: boxplot
Copyright ? 2010 Pearson Education, Inc. Publishing as Prentice Hall