Ch 03 descriptive_statistics_numerical

CH 03 - Descriptive Statistics: Numerical
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Multiple Choice
1. Geometric mean is a measure of
a. location.
b. dispersion.
c. variability.
d. weight.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.01 - Measures of Location
NATIONAL STANDARDS: United States - BUSPROG:Analytic
STATE STANDARDS: United States - AK - DISC: Descriptive Statistics
KEYWORDS: Bloom's: Remember
2. Growth factors for the population of Chattanooga in the past two years have been 8 and 12. The geometric mean has a
value of
a. 20.
b.
.
c.
.
d. 96.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
KEYWORDS: Bloom's: Apply
3. Growth factors for the population of Atlanta in the past five years have been 1, 2, 3, 4 , and 5. The geometric mean is
a. 15.
b.
.
c.
.
d.
.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
4. The geometric mean of five observations is the

a. same as their weighted mean.
b. same as their mean.
c. square root of the product of the 5 observations.
d. fifth root of the product of the 5 observations.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
KEYWORDS: Bloom's: Understand
5. The nth root of the product of the n observations is the
a. weighted mean.
b. geometric mean.
c. product deviation.
d. product variance.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
6. The measure of location which is the most likely to be influenced by extreme values in the data set is the
a. range.
b. median.
c. mode.
d. mean.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
7. If two groups of numbers have the same mean, then
a. their standard deviations must also be equal.
b. their medians must also be equal.
c. their modes must also be equal.
d. other measures of location need not be the same.
ANSWER: d

POINTS: 1
DIFFICULTY: Easy
8. The mean of the sample
a. is always smaller than the mean of the population from which the sample was taken.
b. can never be zero.
c. can never be negative.
d. can assume any value between the highest and the lowest value in the sample.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
9. When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values
is the
a. geometric mean.
b. weighted mean.
c. trimmed mean.
d. interquartile mean.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
10. Which of the following provides a measure of centrallocation for the data?
a. Standard deviation
b. Mean
c. Variance
d. Range
ANSWER: b
POINTS: 1
DIFFICULTY: Easy

11. In computing the mean of a sample, the value of ∑xi is divided by
a. n.
b. n - 1.
c. n + 1.
d. n - 2.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
12. A numerical value used as a summary measure for a sample, such as sample mean, is known as a
a. population parameter.
b. sample parameter.
c. sample statistic.
d. population mean.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
13. μ is an example of a
a. population parameter.
b. sample statistic.
c. population variance.
d. mode.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
14. The mean of a sample
a. is always equal to the mean of the population.

b. is always smaller than the mean of the population.
c. is computed by summing the data values and dividing the sum by (n - 1).
d. is computed by summing all the data values and dividing the sum by the number of items.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
15. The hourly wages of a sample of 130 system analysts are given below.
mean = 60 range = 20
mode = 73 variance = 324
median = 74
The coefficient of variation equals
a. 0.30%.
b. 30%.
c. 5.4%.
d. 54%.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.02 - Measures of variability
16. The variance of a sample of 169 observations equals 576. The standard deviation of the sample equals
a. 13.
b. 24.
c. 576.
d. 28,561.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
17. The median of a sample will always equal the
a. (Q1 + Q3)/2.

b. Q4/2.
c. 50th percentile.
d. (smallest value + largest value)/2.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
18. The median is a measure of
a. relative dispersion.
b. absolute dispersion.
c. central location.
d. relative location.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
19. The 50th percentile is the
a. mode.
b. median.
c. mean.
d. third quartile.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
20. The 75th percentile is referred to as the
a. first quartile.
b. second quartile.
c. third quartile.
d. fourth quartile.
ANSWER: c
POINTS: 1

DIFFICULTY: Easy
21. The pth percentile is a value such that approximately
a. p percent of the observations are less than the value and (100 - p) percent are more than this value.
b. p percent of the observations are less than the value and p percent are more than this value.
c. (100 - p) percent of the observations are less than the value and p percent are more than this value.
d. (100 - p) percent of the observations are less than the value and (100 - p) percent are more than this value.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
22. The difference between the largest and the smallest data values is the
a. variance.
b. interquartile range.
c. range.
d. coefficient of variation.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
23. The first quartile
a. contains at least one third of the data elements.
b. is the same as the 25th percentile.
c. is the same as the 50th percentile.
d. is the same as the 75th percentile.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy

24. When computing the mean, the smallest value
a. can never be negative.
b. can never be zero.
c. can never be less than the mean.
d. can be any value.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
25. Which of the following is not a measure of centrallocation?
a. Mean
b. Median
c. Variance
d. Mode
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
26. If a data set has an even number of observations, the median
a. cannot be determined.
b. is the average value of the two middle items.
c. must be equal to the mean.
d. is the average value of the two middle items when all items are arranged in ascending order.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
27. Which of the following is a measure of variability?
a. Percentiles
b. Quartiles
c. Interquartile range

d. Geometric mean
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
28. The value which has half of the observations above it and half the observations below it is called the
a. range.
b. median.
c. mean.
d. mode.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
29. The most frequently occurring value of a data set is called the
a. range.
b. mode.
c. mean.
d. median.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
30. The interquartile range is
a. the 50th percentile.
b. another name for the variance.
c. the difference between the largest and smallest values.
d. the difference between the third quartile and the first quartile.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy

31. The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated.
median = 170
a. 0.1125%.
b. 11.25%.
c. 203.12%.
d. 0.20312%.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
32. The heights (in inches) of 25 individuals were recorded and the following statistics were calculated
median = 74
a. 11.2%.
b. 1120%.
c. 0.4%.
d. 40%.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
33. The standard deviation of a sample of 100 observations equals 64. The variance of the sample equals
a. 8.
b. 10.
c. 6400.
d. 4,096.
ANSWER: d

POINTS: 1
DIFFICULTY: Easy
34. The variance of a sample of 81 observations equals 64. The standard deviation of the sample equals
a. 9.
b. 4096.
c. 8.
d. 6561.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
35. When the data are skewed to the right, the measure of Skewness will be
a. negative.
b. zero.
c. positive.
d. one.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.03 - Measures of distribution shape, Relative location and Detecting
outliers
36. When data are positively skewed, the mean will usually be
a. greater than the median.
b. smaller than the median.
c. equal to the median.
d. positive.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
outliers

37. Which of the following is not a measure of variability?
a. The range
b. The 50th percentile
c. The standard deviation
d. The interquartile range
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
38. Which difficulty of range as a measure of variability is overcome by interquartile range?
a. The sum of the range variances is zero
b. The range is difficult to compute
c. The range is influenced too much by extreme values
d. The range is negative
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
39. When n-1 is used in the denominator to compute variance,
a. the data set is a sample.
b. the data set is a population.
c. the data set could be either a sample or a population.
d. the data set is from a census.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy

40. In computing descriptive statistics from grouped data,
a. data values are treated as if they occur at the midpoint of a class.
b. the grouped data result is more accurate than the ungrouped result.
c. the grouped data computations are used only when a population is being analyzed.
d. none of these alternatives is correct.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.
41. The measure of variability that is influenced most by extreme values is
a. the variance.
b. the standard deviation.
c. the range.
d. the interquartile range.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
42. When should measures of location and dispersion be computed from grouped data rather than from individual data
values?
a. As much as possible since computations are easier
b. Only when individual data values are unavailable
c. Whenever computer packages for descriptive statistics are unavailable
d. Only when the data are from a population
ANSWER: b
POINTS: 1
DIFFICULTY: Moderate
BSST.ASWC.17.03.02 - Measures of variability
43. The descriptive measure of variability that is based on the concept of a deviation about the mean is
a. the range.
b. the interquartile range.

c. the absolute value of the range.
d. the standard deviation.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
44. The numerical value of the standard deviation can never be
a. larger than the variance.
b. zero.
c. negative.
d. smaller than the variance.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
45. The sample variance
a. is always smaller than the true value of the population variance.
b. is always larger than the true value of the population variance.
c. could be smaller, equal to, or larger than the true value of the population variance.
d. can never be zero.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
46. The coefficient of variation is
a. the same as the variance.
b. the standard deviation divided by the mean times 100.
c. the square of the standard deviation.
d. the mean divided by the standard deviation.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy

47. The variance can never be
a. zero.
b. larger than the standard deviation.
c. negative.
d. smaller than the standard deviation.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
48. The sum of deviations of the individual data elements from their mean is
a. always greater than zero.
b. always less than zero.
c. sometimes greater than and sometimes less than zero, depending on the data elements.
d. always equal to zero.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
49. Which of the following symbols represents the standard deviation of the population?
a. σ2
b. σ
c. μ
d.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy

50. Which of the following symbols represents the mean of the population?
a. σ2
b. σ
c. μ
d.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
51. Which of the following symbols represents the variance of the population?
a. σ2
b. σ
c. μ
d.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
52. Which of the following symbols represents the size of the population?
a. σ2
b. σ
c. μ
d. N
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
53. Which of the following symbols represents the mean of the sample?
a. σ2
b. σ
c. μ
d.

ANSWER: d
POINTS: 1
DIFFICULTY: Easy
54. Which of the following symbols represents the size of the sample?
a. σ2
b. σ
c. N
d. n
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
55. The symbol σ is used to represent
a. the variance of the population.
b. the standard deviation of the sample.
c. the standard deviation of the population.
d. the variance of the sample.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
56. The symbol σ2 is used to represent
a. the variance of the population.
b. the standard deviation of the sample.
c. the standard deviation of the population.
d. the variance of the sample.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy

57. The variance of the sample
a. can never be negative.
b. can be negative.
c. cannot be zero.
d. cannot be less than one.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
58. The measure of dispersion which is not measured in the same units as the original data is the
a. median.
b. standard deviation.
c. coefficient of determination.
d. variance.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
59. A numerical measure of linear association between two variables is the
a. variance.
b. covariance.
c. standard deviation.
d. coefficient of variation.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.05 - Measures of association between two variables
60. Positive values of covariance indicate
a. a positive variance of the x values.

b. a positive variance of the y values.
c. the standard deviation is positive.
d. positive relation between the independent and the dependent variables.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
61. The correlation coefficient ranges between
a. 0 and 1.
b. -1 and +1.
c. minus infinity and plus infinity.
d. 1 and 100.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
62. The coefficient of correlation
a. is the same as the coefficient of determination.
b. can be larger than 1.
c. cannot be larger than 1.
d. cannot be negative.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
63. The value of the sum of the deviations from the mean, i.e., must always be
a. less than the zero.
b. negative.
c. either positive or negative depending on whether the mean is negative or positive.
d. zero.
ANSWER: d

POINTS: 1
DIFFICULTY: Easy
64. The numerical value of the variance
a. is always larger than the numerical value of the standard deviation.
b. is always smaller than the numerical value of the standard deviation.
c. is negative if the mean is negative.
d. can be larger or smaller than the numerical value of the standard deviation.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
65. Since the median is the middle value of a data set it
a. must always be smaller than the mode.
b. must always be larger than the mode.
c. must always be smaller than the mean.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
66. In a five number summary, which of the following is not used for data summarization?
a. The smallest value
b. The largest value
c. The mean
d. The 25th percentile
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.04 - Five-number summaries and Box plots

67. The relative frequency of a class is computed by
a. dividing the midpoint of the class by the sample size.
b. dividing the frequency of the class by the midpoint.
c. dividing the sample size by the frequency of the class.
d. dividing the frequency of the class by the sample size.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
68. During a cold winter, the temperature stayed below zero for ten days (ranging from -20 to -5). The variance of the
temperatures of the ten-day period
a. is negative since all the numbers are negative.
b. must be at least zero.
c. cannot be computed since all the numbers are negative.
d. can be either negative or positive.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
69. Which of the following is not a measure of variability?
a. Mode
b. Standard deviation
c. Range
d. Interquartile range
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
70. If the coefficient of variation is 40% and the mean is 70, then the variance is
a. 28.

b. 2800.
c. 1.75.
d. 784.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
71. Given the following information:
Standard deviation = 8
Coefficient of variation = 64%
The mean would then be
a. 12.5.
b. 8.
c. 0.64.
d. 1.25.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
72. Since the mode is the most frequently occurring data value, it
a. can never be larger than the mean.
b. is always larger than the median.
c. is always larger than the mean.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
73. A group of students had dinner at a local restaurant. The total bill for the dinner was $414.70. Each student paid
his/her equal share of the bill, which was $18.85. How many student’s were at the dinner?
a. 4
b. 415
c. 19

d. 22
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
74. The standard deviation of a sample was reported to be 20. The report indicated that = 7200. What is the
sample size?
a. 16
b. 17
c. 18
d. 19
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
75. The variance of a sample was reported to be 144. The report indicated that = 7200. What is the sample
size?
a. 49
b. 50
c. 51
d. 52
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
76. From a population of size 1,000, a random sample of 100 items is selected. The mean of the sample
a. must be 10 times smaller than the mean of the population.
b. must be equal to the mean of the population, if the sample is truly random.
c. must be 10 times larger than the mean of the population.
d. can be larger, smaller or equal to the mean of the population.

ANSWER: d
POINTS: 1
DIFFICULTY: Easy
77. From a population of size 500, a random sample of 50 items is selected. The mode of the sample
a. must be 500.
b. must be equal to the mode of population, if the sample is truly random.
c. must be equal to the mean of the population, if the sample is truly random.
d. can be larger, smaller or equal to the mode of the population.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
78. From a population of size 400, a random sample of 40 items is selected. The median of the sample
a. must be 200, since 400 divided by 2 is 200.
b. must be 10, since 400 divided by 40 is 10.
c. must be equal to the median of population, if the sample is truly random.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
79. The geometric mean of 2, 4, 8 is
a. 4.67.
b. 5.0.
c. 16.
d. 4.0.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy

80. The geometric mean of 1, 1, 8 is
a. 10.0.
b. 2.0.
c. 3.33.
d. 3.0.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
81. The geometric mean of 1, 3, 5, and 6 is
a. 15.0.
b. 5.0.
c. 3.08.
d. 3.75.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
82. The geometric mean of 1, 2, 4, and 10 is
a. 2.99.
b. 4.25.
c. 17.0.
d. 4.0.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
83. A researcher has collected the following sample data.
5 12 6 8 5
6 7 5 12 4

The 75th percentile is
a. 7.
b. 7.5.
c. 8.
d. 9.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
84. A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
The standard deviation is
a. 8.944.
b. 4.062.
c. 13.2.
d. 16.5.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
85. A researcher has collected the following sample data. The mean of the sample is 5.
3 5 12 3 2
The interquartile range is
a. 2.
b. 2.25.
c. 6.
d. 9.
ANSWER: c
POINTS: 1

86. The following is the frequency distribution for the speed of a sample of automobiles traveling on an interstate
highway.
Speed (mph) Frequency
50 - 54 2
55 - 59 4
60 - 64 5
65 - 69 10
70 - 74 9
75 - 79 5
35
The mean is
a. 35.
b. 670.
c. 10.
d. 67.
ANSWER: d
POINTS: 1
87. The following is the frequency distribution for the speed of a sample of automobiles traveling on an interstate
highway.
Speed (mph) Frequency
50 - 54 2
55 - 59 4
60 - 64 5
65 - 69 10
70 - 74 9
75 - 79 5
35
The standard deviation is
a. 6.969.
b. 7.071.
c. 48.570.
d. 50.000.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy

88. The closing stock price of MNM Corporation for the last 7 trading days is shown below.
Day Stock Price
1 84
2 87
3 84
4 88
5 85
6 90
7 91
The mean is
a. 84.
b. 85.
c. 86.
d. 87.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
Day Stock Price
1 84
2 87
3 84
4 88
5 85
6 90
7 91
The mode is
a. 84.
b. 85.
c. 86.
d. 87.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy

Day Stock Price
1 84
2 87
3 84
4 88
5 85
6 90
7 91
The median is
a. 84.
b. 85.
c. 86.
d. 87.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
Day Stock Price
1 84
2 87
3 84
4 88
5 85
6 90
7 91
The variance is
a. 2.828.
b. 8.
c. 9.
d. 81.
ANSWER: b
POINTS: 1

92. Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains
outliers?
a. Mean
b. Median
c. 2nd quartile
d. 50th percentile
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
93. The measure of variability easiest to compute, but seldom used as the only measure, is the
a. range.
b. interquartile range.
c. standard deviation.
d. variance.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC - 17.03.02
94. In computing descriptive statistics for grouped data, the data values in each class are approximated using the
a. class lower limits.
b. class upper limits.
c. class midpoint.
d. class range.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
95. Which of the following is not a measure of variability of a single variable?
a. Range
b. Covariance
c. Standard deviation

ANSWER: b
POINTS: 1
DIFFICULTY: Easy
outliers
96. The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within
one standard deviation of the mean is approximately
a. 33%.
b. 50%.
c. 68%.
d. 95%.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
outliers
97. A box plot is a graphical representation of data that is based on
a. the empirical rule.
b. z-scores.
c. a histogram.
d. a five number summary.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
98. The coefficient of variation indicates how large the standard deviation is relative to the
a. mean.
b. median.
c. range.
d. variance.
ANSWER: a

POINTS: 1
DIFFICULTY: Easy
99. Which of the following descriptive statistics is not measured in the same units as the data?
a. 35th percentile
b. Standard deviation
c. Variance
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
100. The most frequently occurring value of a data set is called the
a. mean.
b. median.
c. mode.
d. outlier.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
101. The __________ can be interpreted as the number of standard deviations a data value is from the mean of all the data
values.
a. skewness
b. coefficient of variation
c. z-score
d. correlation coefficient
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
outliers

102. An unusually small or unusually large data value is called
a. correlation coefficient.
b. a deviation.
c. an outlier.
d. a variable.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
outliers
103. Statements about the proportion of data values that must be within a specified number of standard deviations of the
mean can be made using
a. Chebyshev's theorem.
b. The empirical rule.
c. A five-number summary.
d. Percentiles.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
outliers
104. The percentage of data values that must be within one, two, and three standard deviations of the mean for data having
a bell-shaped distribution can be determined using
a. Chebyshev's theorem.
b. The empirical rule.
c. A five-number summary.
d. Percentiles.
ANSWER: b
POINTS: 1
DIFFICULTY: Easy
outliers

105. A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a
a. geometric mean.
b. trimmed mean.
c. weighted mean.
d. balanced mean.
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
106. An important numerical measure of the shape of a distribution is the
a. variance.
b. z-score.
c. coefficient of variation.
d. skewness.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
outliers
107. Functionality in interactive data dashboards that allows the user to access information and analyse at an increasingly
detailed level is referred to as
a. drilling down.
b. transformation.
c. root-cause analysis.
d. data trimming.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
LEARNING OBJECTIVES: BSST.ASWC.17.03.06 - Data Dashboards
108. If the data distribution is symmetric, the skewness is

a. 0.
b. .5.
c. 1.
d. positive.
ANSWER: a
POINTS: 1
DIFFICULTY: Easy
outliers
109. For data skewed to the left, the skewness is
a. less than .5.
b. less than 1.
c. less than the mean.
d. negative.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
outliers
110. Which of the following statements about financial growth factors using the geometric mean is untrue?
a. The growth factor cannot be less than zero.
b. A growth factor less than 1 indicates negative growth.
c. A growth factor greater than 2 indicates more than 100 percent growth.
d. A growth factor greater than 0 indicates positive growth.
ANSWER: d
POINTS: 1
DIFFICULTY: Easy
111. In a box plot, data value x is considered an outlier if
a. x < Q1 – 1.0(IQR) or x > Q3 + 1.0(IQR).
b. x < Q2 – 1.0(IQR) or x > Q2 + 1.0(IQR).
c. x < Q1 – 1.5(IQR) or x > Q3 + 1.5(IQR).

d. x < Q2 – 1.5(IQR) or x > Q2 + 1.5(IQR).
ANSWER: c
POINTS: 1
DIFFICULTY: Easy
Subjective Short Answer
112. The closing stock price of Ahmadi, Inc. for a sample of 10 trading days is shown below.
Day Stock Price
1 84
2 87
3 84
4 88
5 85
6 90
7 91
8 83
9 82
10 86
For the above sample, compute the following measures.
a. The mean
b. The median
c. The mode
d. The variance
e. The standard deviation
f. The range
ANSWER: a. 86
b. 85.5
c. 84
d. 8.8888
e. 2.9814
f. 9
POINTS: 1
DIFFICULTY: Challenging
113. The hourly wages of a sample of eight individuals is given below.
Individual
Hourly Wage
(dollars)
A 27

B 25
C 20
D 10
E 12
F 14
G 17
H 19
For the above sample, determine the following measures:
a. The mean.
b. The standard deviation.
c. The 25th percentile.
ANSWER:
a. 18
b. 6
c. 12.5
POINTS: 1
114. In 2008, the average age of students at UTC was 22 with a standard deviation of 3.96. In 2009, the average age was
24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete
work and support your answer.
ANSWER: C.V. for 2008 = 18%, C.V. for 2009 = 17%
Therefore 2008 shows a more dispersed distribution.
POINTS: 1
KEYWORDS: Bloom's: Apply | Bloom's: Understand
115. Consider the data in the following frequency distribution. Assume the data represent a population.
Class Frequency
2 - 6 2
7 - 11 3
12 - 16 4
17 - 21 1
For the above data, compute the following.
a. The mean
b. The variance
ANSWER:
a. 11
b. 21
c. 4.58

POINTS: 1
116. A private research organization studying families in various countries reported the following data for the amount of
time 4-year-old children spent alone with their fathers each day.
Country
Time with Dad
(minutes)
Belgium 30
Canada 44
China 54
Finland 50
Germany 36
Nigeria 42
Sweden 46
United States 42
For the above sample, determine the following measures:
a. The mean
b. The standard deviation
c. The mode
d. The 75th percentile
ANSWER:
a. 43
b. 7.56
c. 42
d. 49
POINTS: 1
117. In 2012, the average donation to the Help Way was $225 with a standard deviation of $45. In 2013, the average
donation was $400 with a standard deviation of $60. In which year did the donations show a more dispersed distribution?
ANSWER: The coefficient of variation in 2012 was 20% (more dispersed).
The coefficient of variation in 2013 was 15%.
POINTS: 1

118. The following frequency distribution shows the ACT scores of a sample of students:
Score Frequency
14 - 18 2
19 - 23 5
24 - 28 12
29 - 33 1
For the above data, compute the following.
a. The mean
ANSWER:
a. 24
b. 3.77
POINTS: 1
119. The following data show the yearly salaries of football coaches at some state supported universities.
Salary
University (in $1,000)
A 53
B 44
C 68
D 47
E 62
F 59
G 53
H 94
For the above sample, determine the following measures.
a. The mean yearly salary
c. The mode
d. The median
e. The 70th percentile
ANSWER:
a. 60
b. 15.8
c. 53
d. 56
e. 63.8
POINTS: 1

120. The ages of a sample of 8 faculty members selected from the School of Business Administration are shown below.
Faculty Age
1 42
2 30
3 73
4 50
5 51
6 37
7 42
8 59
a. Compute the average age.
b. Determine the mode.
c. Compute the median age.
d. Compute the standard deviation.
ANSWER:
a. 48
b. 42
c. 46
d. 13.5
POINTS: 1
121. The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of
students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?
ANSWER: UTK's coefficient of variation = 35%. UTC's coefficient of variation = 30%.
Therefore, UTK has a more dispersed grade distribution.
POINTS: 1
122. The following is a frequency distribution for the ages of a sample of employees at a local company.
Age Frequency
30 - 39 2
40 - 49 3
50 - 59 7
60 - 69 5

70 - 79 1
a. Determine the average age for the sample.
b. Compute the variance.
c. Compute the standard deviation.
d. Compute the coefficient of variation.
ANSWER:
a. 54.5
b. 117.65
c. 10.85
d. 19.91%
POINTS: 1
123. A local university administers a comprehensive examination to the recipients of a B.S. degree in Business
Administration. A sample of examinations are selected at random and scored. The results are shown below.
Grade
93
65
80
97
85
87
97
60
For the above data, determine
a. The mean
b. The median
c. The mode
d. The standard deviation
e. The coefficient of variation
ANSWER:
a. 83
b. 86
c. 97
d. 14.01
e. 16.88%
POINTS: 1

124. The number of hours worked per week for a sample of ten students is shown below.
Student Hours
1 20
2 0
3 18
4 16
5 22
6 40
7 8
8 6
9 30
10 40
a. Determine the median and explain its meaning.
b. Compute the 70th percentile and explain its meaning.
c. What is the mode of the above data? What does it signify?
ANSWER:
a. 19; approximately 50% of the students work at least 19 hours
b. 27.6; approximately 70% of the students work less than 27.6 hours per week
c. 40; the most frequent data element
POINTS: 1
125. The frequency distribution below shows the monthly expenditure on gasoline for a sample of 14 individuals.
Expenditure Frequency
55 - 59 2
60 - 64 3
65 - 69 4
70 - 74 3
75 - 79 2
a. Compute the mean.
b. Compute the standard deviation.
ANSWER:
a. 67
b. 6.5
POINTS: 1

126. The average wage of Tennessee cashiers is $14 per hour with a standard deviation of $4.20. In Georgia, the average
wage of cashiers is $16 with a standard deviation of $4.40. In which state do the wages of cashiers appear to be more
dispersed?
ANSWER: The coefficient of variation in Tennessee = 30%. The coefficient of variation in Georgia =
27.5%. Therefore, Tennessee shows a more dispersed distribution.
POINTS: 1
127. A researcher has obtained the number of hours worked per week during the summer for a sample of fifteen students.
40 25 35 30 20 40 30 20 40 10 30 20 10 5 20
Using this data set, compute the
a. median
b. mean
c. mode
d. 40th percentile
e. range
f. sample variance
g. standard deviation
ANSWER:
a. 25
b. 25
c. 20
d. 20
e. 35
f. 128.571
g. 11.339
POINTS: 1
128. A sample of twelve families was taken. Each family was asked how many times per week they dine in restaurants.
Their responses are given below.
2 1 0 2 0 2 1 2 0 2 1 2
Using this data set, compute the
a. mode
b. median
c. mean
d. range
e. interquartile range
f. variance
g. standard deviation

h. coefficient of variation
ANSWER:
a. 2
b. 1.5
c. 1.25
d. 2
e. 1.75
f. 0.75
g. 0.866
h. 69.28%
POINTS: 1
129. The following is a frequency distribution of grades of a sample of statistics examinations.
Grade Frequency
50 - 59 7
60 - 69 10
70 - 79 22
80 - 89 15
90 - 99 6
Compute the following measures:
a. The mean
b. The variance
d. The coefficient of variation
ANSWER:
a. 75
b. 130.25
c. 11.41
d. 15.22%
POINTS: 1
130. The following shows the number of job losses and gains (in thousands) between 2008 and 2009 for a sample of seven
cities.
City
Job Change
(in thousands)
Memphis -11
Nashville -7

Atlanta -6
Chattanooga -5
Birmingham -5
Huntsville 0
Knoxville 6
b. Determine the mode.
c. Determine the median.
d. Determine the standard deviation.
ANSWER:
a. -4000
b. -5000
c. -5000
d. 5,477 (rounded)
POINTS: 1
131. For the following frequency distribution,
Class Frequency
45 - 47 3
48 - 50 6
51 - 53 8
54 - 56 2
57 - 59 1
b. Compute the standard deviation. (Assume the data represent a population.)
ANSWER:
a. 50.8
b. 3.14
POINTS: 1
132. Below you are given the ages of a sample of 10 college students who are enrolled in statistics.
20 18 20 22 18 20 22 17 19 24

e. Determine the 25th percentile.
f. Determine the median
g. Determine the 75th percentile.
h. Determine the range.
ANSWER:
a. 20
b. 4.667
c. 2.16
d. 10.8%
e. 18
f. 20
g. 22
h. 7
POINTS: 1
133. A sample of 9 mothers was taken. The mothers were asked the age of their oldest child. You are given their
responses below.
3 12 4 7 14 6 2 9 11
e. Determine the 25th percentile.
f. Determine the median
g. Determine the 75th percentile.
h. Determine the range.
ANSWER:
a. 7.56
b. 17.78
c. 4.22
d. 55.8
e. 3.5
f. 7.0
g. 11.5
h. 12
POINTS: 1

134. For the following frequency distribution (assume the data represent a population),
Class Frequency
70 - 79 5
80 - 89 9
90 - 99 11
100 - 109 9
110 - 119 6
b. Compute the standard deviation.
ANSWER:
a. 95
b. 12.6 (rounded)
POINTS: 1
135. The starting salaries of a sample of college students are given below.
Starting Salary
(In $1,000) Frequency
20-24 1
25-29 3
30-34 7
35-39 6
40-44 2
45-49 1
ANSWER:
a. 34
b. 35.26
c. 5.94
d. 17.46%
POINTS: 1

136. The following frequency distribution shows the time (in minutes) that a sample of students uses the computer
terminals per day.
Time Frequency
20 - 39 2
40 - 59 4
60 - 79 6
80 - 99 4
100 - 119 2
ANSWER:
a. 69.5
b. 564.71
c. 23.76
d. 34.19%
POINTS: 1
TOPICS: Descriptive Statistics
137. The growth rate in thepopulation of Atlanta for the past five years are shown below.
Year
Growth
Factors
1 1.0298
2 1.0270
3 1.0319
4 1.0258
5 1.0304
a. Compute the Geometric mean
b. What has been the percentage growth in the population of Atlanta?
ANSWER:
a. 1.028977546
b. 2.8977%
POINTS: 1
138. The growth rates in the population of Dalton for the past three years are shown below.

Year
Growth
Factors
1 1.0313
2 1.0429
3 1.0343
a. Compute the Geometric mean
b. What has been the percentage growth in the population of Dalton?
ANSWER:
a. 1.036161368
b. 3.616%
POINTS: 1
139. A sample of charge accounts at a local drug store revealed the following frequency distribution of unpaid balances.
Unpaid Balance Frequency
10 - 29 1
30 - 49 6
50 - 69 9
70 - 89 11
90 - 109 13
a. Determine the mean unpaid balance.
b. Determine the variance.
c. Determine the standard deviation.
ANSWER:
a. 74
b. 533.08 (rounded)
c. 23.09
d. 31.20%
POINTS: 1
140. The amount of time that a sample of students spends watching television per day is given below.
Student
Time
(In Minutes)
1 40
2 28
3 71

4 48
5 49
6 35
7 40
8 57
b. Compute the median.
d. Compute the 75th percentile.
ANSWER:
a. 46
b. 44
c. 13.5
d. 55
POINTS: 1
141. In 2012, the average donation to the Community Kitchen was $900 with a standard deviation of $180. In 2013, the
average donation was $1,600 with a standard deviation of $240. In which year do the donations show a more dispersed
distribution?
ANSWER: The coefficient of variation in 2012 was 20% (more dispersed). The coefficient of variation
in 2013 was 15%.
POINTS: 1
142. The following data represent the daily demand (y in thousands of units) and the unit price (x in dollars) for a product.
Daily Demand (y) Unit Price (x)
47 1
39 3
35 5
44 3
34 6
20 8
15 16
30 6
a. Compute and interpret the sample covariance for the above data.
b. Compute and interpret the sample correlation coefficient.
ANSWER:

a.
-47. Since the covariance is negative, it indicates a negative relationship between x and
y.
b. -0.922. There is a strong negative relationship between x and y.
POINTS: 1
143. The following observations are given for two variables.
y x
5 2
8 12
18 3
20 6
22 11
30 19
10 18
7 9
b. Compute the standard deviation for x.
c. Compute the standard deviation for y.
d. Compute and interpret the sample correlation coefficient.
ANSWER:
a.
19.286 (rounded). Since the covariance is positive, it indicates a positive relationship
between x and y.
b. 6.32
c. 8.83
d.
0.345. There is a positive relationship between x and y. The relationship is not very
strong.
POINTS: 1
144. Compute the weighted mean for the following data.
xi Weight (wi)
9 10
8 12
5 4
3 5
2 3
ANSWER: 6.676
POINTS: 1

145. Compute the weighted mean for the following data.
xi Weight (wi)
19 12
17 30
14 28
13 10
18 10
ANSWER: 16
POINTS: 1
146. Jason, a freshman at a local college, just completed 15 credit hours. His grade report is presented below.
Course
Credit
Hours Grades
Calculus 5 C
Biology 4 A
English 3 D
Music 2 B
P.E. 1 A
The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Jason's semester grade
point average.
ANSWER: 2.6
POINTS: 1
147. The following data show the yearly salaries of a random sample of Chattanooga residents.
Resident
Salary
(In $1,000)
A 97
B 48
C 69
D 85

E 92
F 48
G 79
H 74
For the above sample, determine the following measures (Give your answer in dollars):
a. The mean yearly salary.
b. The standard deviation.
c. The mode.
d. The median.
e. The 70th percentile
ANSWER:
a. $74,000
b. $18,423.59
c. $48,000
d. $76,500
e. $87,100
POINTS: 1
148. The following frequency distribution shows the yearly tuition (in $1,000s) of a sample of private colleges.
Yearly
Tuition Frequency
12 - 16 5
17 - 21 4
22 - 26 3
27 - 31 2
For the above data, compute the mean yearly tuition. (Give your answer in dollars.)
ANSWER: $19,714.29
POINTS: 1
149. The following data represent the daily supply (y in thousands of units) and the unit price (x in dollars) for a product.
Daily Supply (y) Unit Price (x)
5 2
7 4
9 8
12 5
10 7
13 8

16 16
16 6
b. Compute the standard deviation for the daily supply.
c. Compute the standard deviation for the unit price.
d. Compute and interpret the sample correlation coefficient.
ANSWER:
a.
11.43 (rounded). The covariance is positive. Therefore, there is a positive relationship
between x and y.
b. 4
c. 4.175
d. 0.6844. There is a fairly strong positive relationship between x and y.
POINTS: 1
150. The yearly incomes of the top highest paying professions in the United States are shown below.
Profession
Yearly Income
(in $1,000)
Surgeons 136
Obstetricians 132
Anesthesiologists 130
Internists 126
Pediatricians 116
Psychiatrists 114
Dentists 110
General Practitioners 110
Chief Executives 107
Airline Pilots 99
For the above sample, determine the following measures (Give your answer in dollars).
a. The mean yearly salary
c. The median
d. The mode
ANSWER:
a. $118,000
b. $12,283.68
c. $115,000
d. $110,000
POINTS: 1

151. The population change between 2000 and 2010 for severalsmall cities are shown below.
City
Population Change
(number of residents)
Chattanooga 3083
Collegedale 1466
East Ridge -461
Lakeside 1113
Ridgeside -11
Signal Mountain 395
Soddy-Daisy 3290
Walden 437
For the above sample, determine the following measures.
a. The mean
c. The median
ANSWER:
a. 1,164
b. 1,385.51
c. 775
POINTS: 1
152. The Michael Painting Company has purchased paint from several suppliers. The purchase price per gallon and the
number of gallons purchased are shown below.
Supplier Price Per Gallon ($) Number of Gallons
A 23 700
B 25 200
C 29 100
D 27 200
Compute the weighted average price per gallon.
ANSWER: $24.50
POINTS: 1
153. In the fall semester of 2009, the average Graduate Management Admission Test (GMAT) of the students at UTC was
500 with a standard deviation of 80. In the fall of 2010, the average GMAT was 560 with a standard deviation of 84.
Which year's GMAT scores show a more dispersed distribution?

ANSWER: The coefficient of variation in 2009 = 16%.
The coefficient of variation in 2010= 15%.
Therefore, 2009 had a more dispersed distribution.
POINTS: 1
154. The following frequency distribution shows the starting salaries (in $1,000s) of a sample of business students:
Starting Salary Frequency
22 - 26 3
27 - 31 5
32 - 36 8
37 - 41 4
For the above data, compute the mean starting salary: (Give your answer in dollars.)
ANSWER: $32,250
POINTS: 1
155. In the last month, Nancy purchased gasoline from four different gas stations. The following table shows the price per
gallon and the gallons of gasoline that she purchased.
Gas Station
Gallons
Purchased
Price per
Gallon ($)
Texaco 20 3.95
Mobil 8 3.10
BP 18 4.80
Shell 12 3.99
Determine the average price per gallon that Nancy paid for the gasoline.
ANSWER: $4.10 (rounded)
POINTS: 1
156. The price of a selected stock over a five day period is shown below.
17, 11, 13, 17, 16
Using the above data, compute the mean, the median, and the mode.

ANSWER: Mean = 14.8
Median = 16
Mode = 17
POINTS: 1
DIFFICULTY: Easy
157. Global Engineers hired the following number of Class 1 engineers during the first six months of the past year.
(Assume the data represents a sample.)
No. of Class 1
Month Engineers Hired
January 3
February 2
March 4
April 2
May 6
June 0
a. Determine the mean, the median, the mode, and the range for the above data.
b. Compute the variance and the standard deviation.
c. Compute the first and the third quartiles.
d. Compute the z-scores for the months of May and June.
ANSWER: a. Mean = 2.833 Median = 2.5 Mode = 2.0 Range = 6
b. S2 = 4.166
S = 2.041
c. First quartile = 1.5
Third quartile = 4.5
d. Z-score for May = 1.55 (rounded)
Z-score for June = -1.39 (rounded)
POINTS: 1
BSST.ASWC.17.03.03 - Measures of distribution shape, Relative location and Detecting
outliers
158. In a statistics class, the average grade on the final examination was 75 with a standard deviation of 5. Use
Chebyshev’s theorem to answer the following questions.
a. At least what percentage of the students received grades between 50 and 100?
b.
Determine an interval for the grades that will be true for at least 70% of the students. (Hint:
First, compute the Z-score.)
ANSWER: a. 96%

b. 75 ± (1.826)(5) = 65.87 to 84.13
POINTS: 1
outliers
159. The flashlight batteries produced by one of the northern manufacturers are known to have an average life of 60 hours
with a standard deviation of 4 hours. Use Chebyshev’s theorem to answer the following questions.
a. At least what percentage of flashlights will have a life of 54 to 66 hours?
b. At least what percentage of the batteries will have a life of 52 to 68 hours?
c.
Determine an interval for the lives of the batteries that will be true for at least 80% of the
batteries. (Hint: First compute the Z-score.)
ANSWER: a. 56%
b. 75%
c.
60 + (2.236)(4). This indicates that at least 80% of the batteries will have lives of 51.056
to 68.944 hours.
POINTS: 1
outliers
160. Consider a sample with the following data values.
462
490
350
294
574
Compute the Z scores for the above five observations.
ANSWER: Mean = 434
Standard Deviation = 112
X Z-Score
462 0.25
490 0.5
350 -0.75
294 -1.25
574 1.25
POINTS: 1
outliers

161. The standard deviation of a sample was reported to be 7. The report indicated that = 980. What is the
sample size?
ANSWER: 21
POINTS: 1
DIFFICULTY: Easy
162. The variance of a sample was reported to be 81. The report indicated that = 972. What is the sample
size?
ANSWER: 13
POINTS: 1
DIFFICULTY: Easy
163. The following data show the yearly salaries of a sample of EMBA graduates.
EMBA Student Salary (in $1,000)
A 88
B 97
C 90
D 110
E 114
F 98
G 92
H 95
a. Compute the mean yearly salary and give your answer in dollars.
b. Compute the standard deviation and give your answer in dollars.
c.
Compute the 75th percentile and give your answer in dollars. Fully explain what the value
that you have determined indicates.
ANSWER: a. $98,000
b. $9,355.03
c. $107,000; Approx. 75 percent of the observations are less than $107,000.
POINTS: 1

164. Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below.
Baba, Inc. Maman, Inc.
Mean 4.04 Mean 16.41
Standard Error 0.11 Standard Error 0.22
Median 4.07 Median 16.83
Mode 3.59 Mode 16.59
Standard Deviation 1.13 Standard Deviation 2.34
Sample Variance 1.28 Sample Variance 5.48
Kurtosis -1.10 Kurtosis 9.10
Skewness 0.04 Skewness -2.85
Range 3.98 Range 12.57
Minimum 2.00 Minimum 6.29
Maximum 5.98 Maximum 18.86
Sum 416.05 Sum 1919.63
Count 103 Count 117
a.
Which company’s stock price has a more dispersed distribution? Explain. Show your
complete work and support your answer.
b. Compare the Skewness of the two and explain what is indicated.
ANSWER:
a.
Coefficient of variation for Baba, Inc = 27.97%
Coefficient of variation for Maman, Inc. = 14.25%
Therefore, Baba, Inc. shows a more dispersed stock price distribution.
b.
Baba, Inc.’s price is skewed to the right (+ 0.04) and Maman, Inc.’s price is skewed to
the left (-2.85).
POINTS: 1
outliers
165. The following frequency distribution shows the GMAT scores of a sample of MBA students.
GMAT Score Frequency
300 up to 400 1
400 up to 500 5
500 up to 600 9
600 up to 700 3
700 up to 800 2
For the above data, compute the mean GMAT score.
ANSWER: 550

POINTS: 1
166. The last semester grades of Nancy, a freshman at a local college are shown below.
Course Credit Hours Grades
Physics 4 C
Calculus 6 A
Biology 3 B
Music 2 F
P.E. 1 A
The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Nancy’s semester
grade point average.
ANSWER: 2.8125
POINTS: 1
167. The following data shows the yearly salaries of a sample of MBA graduates.
MBA Student Salary (in $1,000)
A 78
B 87
C 80
D 100
E 104
F 88
G 82
H 85
a. Compute the mean yearly salary and give your answer in dollars.
b. Compute the standard deviation and give your answer in dollars.
c.
Compute the 75th percentile and give your answer in dollars. Fully explain what the value that
you have determined indicates.
ANSWER: a. $88,000
b. $9,355.03
c. $97,000; Approx. 75 percent of the observations are less than $97,000.
POINTS: 1

168. Descriptive statistics for the closing stock prices of two companies for several trading periods are shown below.
Baba, Inc Maman, Inc.
Mean 4.00 Mean 15.91
Standard Error 0.11 Standard Error 0.29
Median 3.92 Median 16.59
Mode 4.19 Mode 15.58
Standard Deviation 1.12 Standard Deviation 3.21
Sample Variance 1.25 Sample Variance 10.31
Kurtosis -1.15 Kurtosis 3.52
Skewness 0.08 Skewness -2.09
Range 3.95 Range 13.45
Minimum 2.03 Minimum 5.55
Maximum 5.98 Maximum 18.99
Sum 436.32 Sum 1972.61
Count 109 Count 124
a.
Which company’s stock price has a more dispersed distribution? Explain. Show your complete
work and support your answer.
b. Compare the Skewness' of the two and explain what is indicated.
ANSWER:
a.
Coefficient of variation for Baba, Inc = 28%
Coefficient of variation for Maman, Inc. = 20.18%
Therefore, Baba, Inc. shows a more dispersed stock price distribution.
b. Baba, Inc’s price is skewed to the right (+ 0.08) and Maman, Inc’s price is skewed to the
left (-2.09).
POINTS: 1
outliers
169. The following frequency distribution shows the GMAT scores of a sample of MBA students:
GMAT Score Frequency
300 up to 400 2
400 up to 500 6
500 up to 600 10
600 up to 700 5
700 up to 800 2
For the above data, compute the mean GMAT score.
ANSWER: 546
POINTS: 1

170. Last semester grades of Michael, a freshman at a local college are shown below.
Course Credit Hours Grades
Chemistry 5 C
Calculus 5 A
English 4 C
Music 3 F
P.E. 1 A
The local university uses a 4 point grading system, i.e., A = 4, B = 3, C = 2, D = 1, F = 0. Compute Michael’s semester
grade point average.
ANSWER: 2.33
POINTS: 1
171. A recent survey of a local neighborhood measured the number of children per household. The results are given
below.
Household Children
1 2
2 0
3 1
4 6
5 2
6 2
7 3
8 1
9 2
For the above data compute the following measures. (Round to the nearest tenth, as needed.)
a. The mean
b. Then median
c. The mode
ANSWER: a. 2.1
b. 2
c. 2
POINTS: 1

172. The following data shows the number of students enrolled in various professors’ statistics classes.
Professor Enrollment
A 256
B 167
C 159
D 164
E 170
F 156
For the above sample, compute the following measures.
a. The variance
c.
If we consider professor A’s enrollment as an outlier, compute the variance and the standard
deviations, excluding Professor A’s class. (Round to two decimal places.)
ANSWER: a. 1461.47
b. 38.23
c. Variance =32.7; Standard deviation = -5.72
POINTS: 1
173. Below you are given a sample of ACT scores of 12 college applicants.
19 23 27 21 32 17 20 29 22 30 25 15
a. Determine the first quartile.
b. Determine the 75th percentile.
c. Determine the interquartile range.
ANSWER: a. 19.25
b. 28.5
c. 9.25
POINTS: 1
174. Below is a sample of scores from a professor’s most recent exam.
Student Score
1 83
2 91
3 79

4 99
5 88
6 81
7 95
Calculate the following.
a. The mean
c. The 65th percentile
ANSWER: a. 88
b. 7.46
c. 91.8
POINTS: 1
175. Aubree, a college freshman, took 15 hours her first semester. Below is her grade report.
Class Credit Hours Grade
Physics 4 D
Biology 4 B
Statistics 3 B
Seminar 1 A
Macroeconomics 3 A
Aubree’s university uses a 4-point grading system, i.e., A=4, B=3, C=2, D=1, F=0.
a. Compute Aubree’s grade point average at the end of the semester.
b.
The next semester, Aubree retakes physics and makes a B. If this B replaces her old grade (D),
what would her revised GPA be? (Assume the only class she took her second semester was
physics.) (Round to the nearest hundred.)
ANSWER: a. 2.73
b. 3.27
POINTS: 1
176. The table below shows the population growth rate of a city for the years 2008 through 2012.
Year
Population
Growth Rate
2008 0.8923
2009 1.0587
2010 1.1934

2011 1.2345
2012 1.0995
a. Compute the geometric mean.
b. What has been the percentage growth in the population of the city between 2008 to 2012?
ANSWER: a.. Geometric Mean = 1.088808
b. 8.88%
POINTS: 1

Ch 03 descriptive_statistics_numerical

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Ch 03 descriptive_statistics_numerical