chap03-TIF-BSAFC5(4)

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:

Copyright ? 2010 Pearson Education, Inc. Publishing as Prentice Hall

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

Copyright ? 2010 Pearson Education, Inc. Publishing as Prentice Hall

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

Copyright ? 2010 Pearson Education, Inc. Publishing as Prentice Hall

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

Copyright ? 2010 Pearson Education, Inc. Publishing as Prentice Hall

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

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