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CHAPTER THREE
Descriptive Statistics
C 1. Statistical measures used to yield information about the middle of a group of
numbers are called _______.
E A. averages
Term B. measures of variability
C. measures of central tendency
D. Z scores
C 2. Which of the following is NOT a measure of central tendency?
E A. meanTerm B. median
C. variance
D. mode
73
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70 Test Bank
A 3. The most frequently occurring value in a set of data is called the _______.
E A. mode
Term B. mean
C. median
D. coefficient of variation
A 4. Which of the following is an appropriate measure of central tendency for nominal
data?
E A. mode
Term B. mean
C. median
D. coefficient of variation
C 5. Which of the following is an appropriate measure of central tendency for ordinal
data?
E A. standard deviation
Term B. mean
C. median
D. coefficient of variation
C 6. The lowest appropriate level of measurement for the mean is _________.
E A. nominal
Term B. ordinal
C. interval
D. ratio
B 7. The lowest appropriate level of measurement for the median is _________.
E A. nominal
Term B. ordinal
C. interval
D. ratio
A 8. The lowest appropriate level of measurement for the mode is _________.
E A. nominal
Term B. ordinal
C. interval
D. ratio
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Chapter 3: Descriptive Statistics 71
C 9. The middle value in an ordered array of numbers is called the _______.
E A. mode
Term B. mean
C. median
D. coefficient of variation
B 10. Another term for average is _______.
E A. mode
Term B. mean
C. median
D. variance
C 11. The Greek letter usually refers to the _______.E A. population standard deviation
Term B. sample varianceC. population mean
D. sample mean
A 12. The Greek letter usually refers to the _________.
E A. population standard deviation
Term B. sample variance
C. population mean
D. sample mean
D 13. The notation X usually refers to the _______________.
E A. population standard deviation
Term B. sample variance
C. population mean
D. sample mean
B 14. The notation s2 usually refers to the _______________.
E A. population standard deviation
Term B. sample varianceC. population mean
D. sample mean
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72 Test Bank
D 15. Which of the following is NOT a commonly used measure of variability?
M A. variance
Term B. standard deviation
C. mean absolute deviation
D. average deviation
A 16. The sum of deviations about the arithmetic mean is always equal to _______.
E A. zero
Term B. the variance
C. the mean absolute deviation
D. the standard deviation
C 17. The average of the squared deviations from the arithmetic mean is called the
_______.
M A. standard deviation
Term B. mean absolute deviationC. variance
D. coefficient of variation
B 18. The sample variance is found by taking the square root of _______.
E A. the sample mean
Term B. the sample variance
C. the coefficient of variation
D. the mean absolute deviation
C 19. The lowest appropriate level of measurement for standard deviation is_________.
E A. nominal
Term B. ordinal
C. interval
D. ratio
B 20. The lowest appropriate level of measurement for the Interquartile Range is
_________.
E A. nominal
Term B. ordinal
C. interval
D. ratio
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Chapter 3: Descriptive Statistics 73
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74 Test Bank
D 21. The number of standard deviations that a value (X) is above or below the mean is
the _________________.
M A. absolute deviation
Term B. coefficient of variation
C. interquartile range
D. Z score
D 22. If the mean of a distribution is greater than the median, then the distribution is
______.
M A. not skewed
Term B. symmetrical about its mean
C. skewed to the left
D. skewed to the right
C 23. If the median of a distribution is greater than mean, then the distribution is
_________.
M A. not skewed
Term B. symmetrical about its mean
C. skewed to the left
D. skewed to the right
D 24. The interquartile range is _____________.
E A. the largest value minus the least value
Term B. the ratio of the mean to the standard deviation
C. negative if the distribution is skewed to the leftD. Q3 - Q1
B 25. The five numbers used to construct a box and whisker plot are _______.
M A. the mean, standard deviation, Q1, Q3, and the coefficient of variation
Term B. Q1, Q2, Q3, the least value of X, and the largest value of X
C. the mean, standard deviation, least value of X, largest value of X, and Q2
D. the coefficient of variation, IQR, mean, Q2, and mean absolute deviation
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Chapter 3: Descriptive Statistics 75
D 26. Which of the following is a measure of relative dispersion?
M A. standard deviation
Term B. interquartile range
C. mean absolute deviation
D. coefficient of dispersion
A 27. The empirical rule says that approximately what percentage of the values would
be within 2 standard deviations of the mean in a bell shaped set of data?
M A. 95%
Term B. 68%
C. 50%
D. almost all
B 28. The empirical rule says that approximately what percentage of the values would
be within 1 standard deviation of the mean in a bell shaped set of data?
M A. 95%
Term B. 68%
C. 50%
D. almost all
A 29. Chebyshev's Theorem says that how many values will be within 2 standard
deviations of the mean?
H A. at least 75%
Calc B. at least 68%
C. at least 95%D. at least 89%
D 30. Chebyshev's Theorem says that the number of values within 3 standard deviations
of the mean will be _______.
M A. at least 75%
Calc B. at least 68%
C. at least 95%
D. at least 89%
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76 Test Bank
B 31. A statistics student made the following grades on 5 tests: 84, 78, 88, 78, and 72.
What is the mean grade?
M A. 78
Calc B. 80
C. 72
D. 84
C 32. A statistics student made the following grades on 5 tests: 84, 78, 88, 72, and 72.
What is the median grade?
M A. 88
Calc B. 72
C. 78
D. 80
A 33. A statistics student made the following grades on 5 tests: 84, 78, 88, 78, and 82.
What is the mode?
E A. 78
Calc B. 80
C. 88
D. 84
D 34. A commuter travels many miles to work each morning. She has timed this trip 5
times during the last month. The time (in minutes) required to make this trip was
34, 39, 41, 35, and 41. The mean time required for this trip was _______.
M A. 35Calc B. 41
C. 37.5
D. 38
A 35. A commuter travels many miles to work each morning. She has timed this trip 5
times during the last month. The time (in minutes) required to make this trip was
34, 39, 41, 35, and 41. The median time required for this trip was _______.
M A. 39
Calc B. 41C. 37.5
D. 38
B 36. A commuter travels many miles to work each morning. She has timed this trip 5
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Chapter 3: Descriptive Statistics 77
times during the last month. The time (in minutes) required to make this trip was
34, 39, 41, 35, and 41. The modal time required for this trip was _______.
E A. 39
Calc B. 41
C. 37.5
D. 38
B 37. A commuter travels many miles to work each morning. She has timed this trip 5
times during the last month. The time (in minutes) required to make this trip was
44, 39, 41, 35, and 41. The mean time required for this trip was 40 minutes.
What is the variance for this sample data?
H A. 8.8
Calc B. 11
C. 0
D. 3
A 38. A commuter travels many miles to work each morning. She has timed this trip 5
times during the last month. The time (in minutes) required to make this trip was
44, 39, 41, 35, and 41. The mean time required for this trip was 40 minutes.
What is the standard deviation for this sample data?
H A. 3.32
Calc B. 2.97
C. 1.73
D. 11
D 39. A commuter travels many miles to work each morning. She has timed this trip 5times during the last month. The time (in minutes) required to make this trip was
44, 39, 41, 35, and 41. The mean time required for this trip was 40 minutes.
What is the mean absolute deviation for this sample data?
H A. 0
Calc B. 12
C. 3
D. 2.4
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78 Test Bank
D 40. Abel Alonzo, Director of Human Resources, is exploring employee absenteeism
at the Batesville Bottling during the last operating year. A sample of six
personnel records produced the following data: 0, 2, 4, 7, 2, 9.
The mean number absences per employee is ____________.
M A. 3
BCalc B. 2
C. 5.5
D. 4
B 41. Abel Alonzo, Director of Human Resources, is exploring employee absenteeism
at the Batesville Bottling during the last operating year. A sample of six
personnel records produced the following data: 0, 2, 4, 7, 2, 9.
The modal number absences per employee is ____________.
E A. 3
BCalc B. 2
C. 5.5D. 4
A 42. Abel Alonzo, Director of Human Resources, is exploring employee absenteeism
at the Batesville Bottling during the last operating year. A sample of six
personnel records produced the following data: 0, 2, 4, 7, 2, 9.
The median number absences per employee is ____________.
M A. 3
BCalc B. 2
C. 5.5
D. 4
A 43. Abel Alonzo, Director of Human Resources, is exploring employee absenteeism
at the Batesville Bottling during the last operating year. A sample of six
personnel records produced the following data: 0, 2, 4, 7, 2, 9.
The variance of the number absences per employee is ____________.
H A. 11.6
BCalc B. 9.67
C. 3.41
D. 3.11
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Chapter 3: Descriptive Statistics 79
C 44. Abel Alonzo, Director of Human Resources, is exploring employee absenteeism
at the Batesville Bottling during the last operating year. A sample of six
personnel records produced the following data: 0, 2, 4, 7, 2, 9.
The standard deviation of the number absences per employee is ____________.
H A. 11.6
BCalc B. 9.67
C. 3.41
D. 3.11
A 45. The mean life of a particular brand of light bulb is 1000 hours and the standard
deviation is 50 hours. It can be concluded that at least 75% of the bulbs will last
between _______.
H A. 900 and 1100 hours
BCalc B. 950 and 1050 hours
C. 850 and 1150 hours
D. 800 and 1200 hours
C 46. The mean life of a particular brand of light bulb is 1000 hours and the standard
deviation is 50 hours. It can be concluded that at least 89% of the bulbs will last
between _______.
H A. 900 and 1100 hours
BCalc B. 950 and 1050 hours
C. 850 and 1150 hours
D. 800 and 1200 hours
B 47. The mean life of a particular brand of light bulb is 1000 hours and the standarddeviation is 50 hours. Tests show that the life of the bulb is approximately
normally distributed. It can be concluded that approximately 68% of the bulbs
will last between _______.
M A. 900 and 1100 hours
Calc B. 950 and 1050 hours
C. 850 and 1150 hours
D. 800 and 1200 hours
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80 Test Bank
A 48. Jessica Salas, president of Salas Products, is reviewing the warranty policy for her
company's new model of automobile batteries. Life tests performed on a sample
of 100 batteries indicated: (1) an average life of 75 months, (2) a standard
deviation of 5 months, and (3) battery life is approximately normally distributed.
Approximately 68% of the batteries will last between ________________.
M A. 70 and 80 months
BCalc B. 60 and 90 months
C. 65 and 85 months
D. 55 and 95 months
C 49. Jessica Salas, president of Salas Products, is reviewing the warranty policy for her
company's new model of automobile batteries. Life tests performed on a sample
of 100 batteries indicated: (1) an average life of 75 months, (2) a standard
deviation of 5 months, and (3) battery life is approximately normally distributed.
Approximately 95% of the batteries will last between ________________.
M A. 70 and 80 monthsBCalc B. 60 and 90 months
C. 65 and 85 months
D. 55 and 95 months
B 50. Jessica Salas, president of Salas Products, is reviewing the warranty policy for her
company's new model of automobile batteries. Life tests performed on a sample
of 100 batteries indicated: (1) an average life of 75 months, (2) a standard
deviation of 5 months, and (3) battery life is approximately normally distributed.
Approximately 99% of the batteries will last between ________________.
M A. 70 and 80 monthsBCalc B. 60 and 90 months
C. 65 and 85 months
D. 55 and 95 months
C 51. Jessica Salas, president of Salas Products, is reviewing the warranty policy for her
company's new model of automobile batteries. Life tests performed on a sample
of 100 batteries indicated: (1) an average life of 75 months, (2) a standard
deviation of 5 months, and (3) battery life is approximately normally distributed.
What percentage of the batteries will fail within the first 65 months of use?
H A. 0.5%
BCalc B. 1%
C. 2.5%
D. 5%
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Chapter 3: Descriptive Statistics 81
B 52. The average starting salary for graduates at a university is $25,000 with a standard
deviation of $2,000. If a histogram of the data shows the it takes on a mound
shape, the empirical rule says that approximately 95% of the graduates would
have a starting salary between _______.
M A. 23,000 and 27,000
BCalc B. 21,000 and 29,000
C. 19,000 and 31,000
D. 24,000 and 26,000
A 53. The average starting salary for graduates at a university is $25,000 with a standard
deviation of $2,000. If a histogram of the data shows the it takes on a mound
shape, the empirical rule says that approximately 68% of the graduates would
have a starting salary between _______.
M A. 23,000 and 27,000
BCalc B. 21,000 and 29,000C. 19,000 and 31,000
D. 24,000 and 26,000
A 54. The average starting salary for graduates at a university is $25,000 with a standard
deviation of $2,000. A histogram of the data shows the shape to be very erratic so
Chebyshev's Theorem should be used. How many of the graduates would have a
starting salary between 21,000 and 29,000?
H A. at least 75%
BCalc B. at least 89%
C. at least 68%D. at least 95%
B 55. The average starting salary for graduates at a university is $25,000 with a standard
deviation of $2,000. A histogram of the data shows the shape to be very erratic so
Chebyshev's Theorem should be used. How many of the graduates would have a
starting salary between 19,000 and 31,000?
H A. at least 75%
BCalc B. at least 89%
C. at least 68%D. at least 95%
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Chapter 3: Descriptive Statistics 83
below.
Age Number of Students
18 3
19 5
20 28
21 4
What is the modal age of these students?
E A. 18
Calc B. 19
C. 20
D. 21
A 60. The mean, median, and mode for the following set of data are all the same value
(20). Data: 18, 19, 20, 20, 21, 22. If the highest number were changed from 22
to 322, which of the following would be most affected?
M A. meanApp B. median
C. mode
D. sample size
C 61. In its Industry Norms and Key Business Ratios, Dun & Bradstreet reported that
Q1, Q2, and Q3 for 577 motorcycle dealers' current ratios were 1.3, 1.6 and 2.9,
respectively. From this we can conclude that __________________.
M A. 68% of these dealers had current ratios between 1.3 and 2.9
BApp B. 95% of these dealers had current ratios between 1.3 and 2.9
C. 50% of these dealers had current ratios between 1.3 and 2.9
D. 75% of these dealers had current ratios between 1.3 and 2.9
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84 Test Bank
C 62. An instructor is evaluating the performance of students on a test. He records the
number of points that each student missed and created a frequency distribution.
This is provided below:
Points missed Number of students
0-under 10 2
10-under 20 4
20-under 30 10
30-under 40 8
40-under 50 6
What is the mean number of points missed?
H A. 20
Calc B. 25
C. 29
D. 30
C 63. An instructor is evaluating the performance of students on a test. He records the
number of points that each student missed and created a frequency distribution.This is provided below:
Points missed Number of students
0-under 10 2
10-under 20 4
20-under 30 10
30-under 40 8
40-under 50 6
What is the variance for this population?
H A. 11.43
Calc B. 135.17C. 130.67
D. 200
D 64. In its Industry Norms and Key Business Ratios, Dun & Bradstreet reported that
Q1, Q2, and Q3 for 577 motorcycle dealers' current ratios were 1.3, 1.6 and 2.9,
respectively. From this we can conclude that __________________.
M A. 68% of these dealers had current ratios of 1.6 or less
BApp B. 95% of these dealers had current ratios of 2.9 or less
C. 50% of these dealers had current ratios of 2.9 or moreD. 75% of these dealers had current ratios of 1.3 or more
A 65. An instructor is evaluating the performance of students on a test. He records the
number of points that each student missed and created a frequency distribution.
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Chapter 3: Descriptive Statistics 85
This is provided below:
Points missed Number of students
0-under 10 2
10-under 20 4
20-under 30 10
30-under 40 8
40-under 50 6
What is the standard deviation for this population?
H A. 11.43
Calc B. 14.14
C. 11.63
D. 135.17
C 66. An instructor is evaluating the performance of students on a test. He records the
number of points that each student missed and created a frequency distribution.
This is provided below:
Points missed Number of students0-under 10 2
10-under 20 4
20-under 30 10
30-under 40 8
40-under 50 6
If this is considered a sample, what is the standard deviation?
H A. 11.43
Calc B. 14.14
C. 11.63
D. 135.17
D 67. Which of the following is always true?
E A. the median is always one-half of the mean
Term B. the mode is always greater than the mean
C. the mean is always equal to the median
D. the standard deviation is always the square root of the variance
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86 Test Bank
A 68. Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects
irregularities in the payroll system, and orders an inspection of "each and every
payroll voucher issued since January 1, 1993." Each payroll voucher was
inspected and the following frequency distribution was compiled.
Errors Per Voucher Number of Vouchers
0-under 2 500
2-under 4 400
4-under 6 300
6-under 8 200
8-under 10 100
The mean number of errors per voucher is __________.
H A. 3.67
BCalc B. 5
C. 750
D. 300
A 69. Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspectsirregularities in the payroll system, and orders an inspection of "each and every
payroll voucher issued since January 1, 1993." Each payroll voucher was
inspected and the following frequency distribution was compiled.
Errors Per Voucher Number of Vouchers
0-under 2 500
2-under 4 400
4-under 6 300
6-under 8 200
8-under 10 100
The distribution of errors per voucher is __________.
M A. symmetrical with respect to its mean
BApp B. skewed to the right
C. not skewed
D. negatively skewed
C 70. A sales manager has sampled past sales records to determine how many
refrigerators are sold each day. Daily records for a sample of 10 days have been
selected. The sales on these days are: 0, 4, 4, 2, 1, 3, 4, 5, 2, 7. What is the
mean daily sales?
M A. 2
BCalc B. 4
C. 3.2
D. 10
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Chapter 3: Descriptive Statistics 87
C 71. A sales manager has sampled past sales records to determine how many
refrigerators are sold each day. Daily records for a sample of 10 days have been
selected. The sales on these days are: 0, 4, 3, 2, 1, 3, 5, 5, 2, 5. What is the
median daily sales?
M A. 3.5
BCalc B. 2
C. 3
D. 4
D 72. A sales manager has sampled past sales records to determine how many
refrigerators are sold each day. Daily records for a sample of 10 days have been
selected. The sales on these days are: 0, 4, 4, 2, 1, 3, 4, 5, 2, 7. The mode of
data set is ______.
E A. 3.5
BCalc B. 2C. 3
D. 4
B 73. A sales manager has sampled past sales records to determine how many
televisions are sold each day. Daily records for a sample of 5 days have been
selected. The sales on these days are: 2, 4, 5, 2, 7. What is the mean for this set
of data?
E A. 2
BCalc B. 4
C. 5
D. 4.5
A 74. A sales manager has sampled past sales records to determine how many
televisions are sold each day. Daily records for a sample of 5 days have been
selected. The sales on these days are: 2, 4, 5, 2, 7. What is the mode for this set
of data?
E A. 2
BCalc B. 4
C. 5
D. 4.5
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88 Test Bank
A 75. In its Industry Norms and Key Business Ratios, Dun & Bradstreet reported that
Q1, Q2, and Q3 for 577 motorcycle dealers' current ratios were 1.3, 1.6 and 2.9,
respectively. From this we can conclude that __________________.
E A. 50% of these dealers had current ratios of 1.6 or less
BApp B. 68% of these dealers had current ratios of 1.3 or less
C. 50% of these dealers had current ratios of 2.9 or moreD. 95% of these dealers had current ratios of 1.3 or more
C 76. A sales manager has sampled past sales records to determine how many
televisions are sold each day. Daily records for a sample of 5 days have been
selected. The sales on these days are: 2, 4, 5, 2, 7. What is the standard
deviation for this set of sample data?
M A. 2
BCalc B. 0
C. 2.12
D. 4.5
B 77. A sales manager has sampled past sales records to determine how many
televisions are sold each day. Daily records for a sample of 5 days have been
selected. The sales on these days are: 2, 4, 5, 2, 7. What is the variance for this
set of sample data?
M A. 4
BCalc B. 4.5
C. 2
D. 0
B 78. A sales manager has sampled past sales records to determine how many
televisions are sold each day. Daily records for a sample of 5 days have been
selected. The sales on these days are: 2, 4, 5, 2, 7. What is the median for this
set of data?
E A. 2
BCalc B. 4
C. 5
D. 4.5
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Chapter 3: Descriptive Statistics 89
C 79. A sales manager has sampled past sales records to determine how many
televisions are sold each day. Daily records for a sample of 5 days have been
selected. The sales on these days are: 2, 4, 5, 2, 7. What is the mean absolute
deviation for this set of data?
M A. 0
BCalc B. 2
C. 1.6
D. 4
D 80. Consider the following 3 numbers: 10, 20, 30. In calculating measures of central
tendency and variability for this set of data, which of the following is true?
M A. you can calculate the mean only if you know if this is a sample or a population
App B. you can calculate the median only if you know if this is a sample or a
population
C. you can calculate the mode only if you know if this is a sample or a population
D. you can calculate the variance only if you know if this is a sample or apopulation
C 81. Liz Chapa manages a portfolio of 250 common stocks. Her staff compiled the
following performance statistics for two new stocks.
Rate of Return
Stock Standard Deviation
Salas Products, Inc. 5%
Hot Boards, Inc. 5%
The coefficient of variation for Salas Products, Inc. is __________.
E A. 300%
BCalc B. 100%
C. 33%
D. 5%
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90 Test Bank
B 82. The following box and whisker plot was constructed for the age of accounts
receivable.
The box and whisker plot reveals that the accounts receivable ages are _______.
E A. skewed to the left
BApp B. skewed to the right
C. not skewed
D. normally distributed
A 83. The following box and whisker plot was constructed for the age of accounts
receivable.
The box and whisker plot reveals that the accounts receivable ages are _______.
E A. skewed to the left
BApp B. skewed to the right
C. not skewed
D. normally distributed
A 84. The following frequency distribution was constructed for the age of accountsreceivable.
The frequency distribution reveals that the accounts receivable ages are _______.
E A. skewed to the left
BApp B. skewed to the right
C. not skewedD. normally distributed
B 85. The following frequency distribution was constructed for the age of accounts
receivable.
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Chapter 3: Descriptive Statistics 91
The frequency distribution reveals that the accounts receivable ages are _______.
E A. skewed to the left
BApp B. skewed to the right
C. not skewed
D. normally distributed
B 86. Liz Chapa manages a portfolio of 250 common stocks. Her staff compiled the
following performance statistics for two new stocks.
Rate of Return
Stock Standard Deviation
Salas Products, Inc. 5%
Hot Boards, Inc. 5%The coefficient of variation for Salas Products, Inc. is __________.
M A. equal to the coefficient of variation for Hot Boards
BCalc B. greater than the coefficient of variation for Hot Boards
C. less than the coefficient of variation for Hot Boards
D. 25%
D 87. David Desreumaux, VP of Human Resources of American First Banks (AFB), is
reviewing the employee training programs of AFB banks. His staff compiled the
following table of regional statistics on teller training hours.
Southeast Region Southwest Region
Mean 20 28
Median 20 20
Mode 20 21
Standard Deviation 5 7
What can David conclude from these statistics?
M A. the Southeast distribution is skewed to the left
BApp B. the Southeast distribution is skewed to the right
C. the Southwest distribution is skewed to the left
D. the Southwest distribution is skewed to the right
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92 Test Bank
A 88. David Desreumaux, VP of Human Resources of American First Banks (AFB), is
reviewing the employee training programs of AFB banks. His staff compiled the
following table of regional statistics on teller training hours.
Southeast Region Southwest Region
Mean 20 28
Median 20 20
Mode 20 21Standard Deviation 5 7
What can David conclude from these statistics?
M A. the Southwest distribution has the greater dispersion
BApp B. the Southwest distribution is skewed to the left
C. the Southeast distribution has the greater dispersion
D. the Southeast distribution is skewed to the left
D 89. David Desreumaux, VP of Human Resources of American First Banks (AFB), is
reviewing the employee training programs of AFB banks. His staff compiled the
following table of regional statistics on teller training hours.Southeast Region Southwest Region
Mean 20 28
Median 20 20
Mode 20 21
Standard Deviation 5 7
What can David conclude from these statistics?
M A. the Southwest distribution has the greater relative dispersion
BApp B. the Southwest distribution is skewed to the left
C. the Southeast distribution has the greater relative dispersionD. the Southeast distribution is not skewed
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Chapter 3: Descriptive Statistics 93
D 90. Manuel Banales, Marketing Director of Plano Power Plants, Inc.s Electrical
Division, is leading a study to assess the relative importance of product features.
Two items on a survey questionnaire distributed to 100 of Planos customers
asked them to rate the importance of ease of maintenance and efficiency of
operation on a scale of 1 to 10 (with 1 meaning not important and 10 meaning
highly important). His staff assembled the following statistics on these two
items.
Ease of Maintenance Efficiency of Operation
Mean 7.5 6.0
Median 8.5 5.5
Mode 9.0 4.5
Standard Deviation 1.5 2.5
What can Manuel conclude from these statistics?
M A. the Ease of Maintenance distribution is skewed to the right
BApp B. the Ease of Maintenance distribution is not skewed
C. the Efficiency of Operation distribution is skewed to the left
D. the Efficiency of Operation distribution is positively skewed
B 91. Manuel Banales, Marketing Director of Plano Power Plants, Inc.s Electrical
Division, is leading a study to assess the relative importance of product features.
Two items on a survey questionnaire distributed to 100 of Planos customers
asked them to rate the importance of ease of maintenance and efficiency of
operation on a scale of 1 to 10 (with 1 meaning not important and 10 meaning
highly important). His staff assembled the following statistics on these two
items.
Ease of Maintenance Efficiency of Operation
Mean 7.5 6.0
Median 8.5 5.5
Mode 9.0 4.5
Standard Deviation 1.5 2.5
What can Manuel conclude from these statistics?
M A. the Ease of Maintenance distribution has more relative dispersion
BApp B. the Ease of Maintenance distribution has less dispersion
C. the Efficiency of Operation distribution is skewed to the left
D. the Efficiency of Operation distribution has less dispersion
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94 Test Bank
A 92. Manuel Banales, Marketing Director of Plano Power Plants, Inc.s Electrical
Division, is leading a study to assess the relative importance of product features.
Two items on a survey questionnaire distributed to 100 of Planos customers
asked them to rate the importance of ease of maintenance and efficiency of
operation on a scale of 1 to 10 (with 1 meaning not important and 10 meaning
highly important). His staff assembled the following statistics on these two
items.
Ease of Maintenance Efficiency of Operation
Mean 7.5 6.0
Median 8.5 5.5
Mode 9.0 4.5
Standard Deviation 1.5 2.5
What can Manuel conclude from these statistics?
M A. Ease of Maintenance is more important than Efficiency of Operation
BApp B. Efficiency of Operation is more important than Ease of Maintenance
C. Efficiency of Operation and Ease of Maintenance are equally important
D. the Efficiency of Operation distribution has less dispersion
B 93. In its Industry Norms and Key Business Ratios, Dun & Bradstreet reported that
Q1, Q2, and Q3 for 2,037 gasoline service stations' sales to inventory ratios were
20.8, 33.4, and 53.8, respectively. From this we can conclude that
____________.
E A. 68% of these service stations had sales to inventory ratios of 20.8 or less
BApp B. 50% of these service stations had sales to inventory ratios of 33.4 or less
C. 50% of these service stations had sales to inventory ratios of 53.8 or more
D. 95% of these service stations had sales to inventory ratios of 20.8 or more
A 94. Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the
service level provided to walk-in customers. Accordingly, his staff prepared the
following distribution of waiting time for walk-in customers.
Waiting Time Number of Customers
(in minutes)
0-under 2 60
2-under 4 30
4-under 6 10
The mean waiting time for this sample of walk-in customers is _________.
H A. 2 minutes
BCalc B. 66.67 minutes
C. 33.33 minutes
D. 3 minutes
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Chapter 3: Descriptive Statistics 95
B 95. Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the
service level provided to walk-in customers. Accordingly, his staff prepared the
following distribution of waiting time for walk-in customers.
Waiting Time Number of Customers
(in minutes)
0-under 2 60
2-under 4 30
4-under 6 10
The standard deviation of waiting time for this sample of walk-in customers is
______.
H A. 2 minutes
BCalc B. 1.35 minutes
C. 1.82 minutes
D. 1.80 minutes
C 96. David Desreumaux, VP of Human Resources of American First Banks (AFB), isreviewing the employee training programs of AFB banks. His staff reports
several statistics for teller training hours. The mean is 20 hours, the standard
deviation is 5 hours, the median is 15 hours, and mode is 10 hours.
The Pearsonian coefficient of skewness for teller training hours is __________.
M A. 6
BCalc B. 1
C. 3
D. 4
C 97. The following box and whisker plot was constructed for the age of accountsreceivable.
The box and whisker plot reveals that the accounts receivable ages are _______.
E A. skewed to the left
BApp B. skewed to the right
C. not skewedD. normally distributed
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96 Test Bank
C 98. The following frequency distribution was constructed for the age of accounts
receivable.
The frequency distribution reveals that the accounts receivable ages are _______.
E A. skewed to the left
BApp B. skewed to the right
C. not skewed
D. positively skewed
A 99. Which Excel function returns the second quartile?
E A. median()
Term B. mode()C. max()
D. quart2()
B 100. Which Excel function returns the population standard deviation?
M A. pstdev()
Term B. stdevp()
C. stdev()
D. stdevpop()
C 101. Which Excel function returns the sample standard deviation?
M A. sstdev()
Term B. stdevs()
C. stdev()
D. stdevsample()
D 102. Which Excel function returns the arithmetic mean?
M A. amean()
Term B. meana()C. mean()
D. average()
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Chapter 3: Descriptive Statistics 97
103. Albert Abbasi, VP of Operations at Ingleside International Bank (IIB), is
evaluating the service level provided to walk-in customers. Accordingly, his staff
prepared the following distribution of waiting time for walk-in customers.
Waiting Time Number of Customers
(in minutes)
0-under 2 120
2-under 4 40
4-under 6 25
6-under 8 10
8-under 10 5
In a recent survey, 70% of the walk-in customers indicated that waiting four
minutes (or more) was unacceptable. Presently, IIB has no direct competitors, but
a competing bank is under construction across the street.
Discuss the managerial and business implications of this situation. What
alternatives should Albert consider? What graphic depiction should he choose for
his presentation to the banks board of directors?
M _________________________________________________________________
BApp _________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
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98 Test Bank
104. Angelina Arnott, Director of National Industrial Sales, is concerned by a
deteriorating sales trend. Specifically, the number of customers is stable at 1,500,
but they are purchasing less each year. She orders her staff to search for causes of
the downward trend by surveying all 1,500 industrial customers. One question on
the survey asked the customers to rate Merchandise is delivered on time on a
scale of 1 to 5, with 1 meaning never and 5 meaning always.
Merchandise Delivered On Time Number of Customers
1 100
2 200
3 300
4 700
5 100
No Response 100
Discuss the managerial and business implications of Angelinas situation.
Identify some possible causes of the trend. What corrective actions are available
for each cause? What graphic depiction(s) should she choose for her report to theVP of Marketing?
M _________________________________________________________________
BApp _________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
_________________________________________________________________
__________________________________________________________________________________________________________________________________
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Chapter 3: Descriptive Statistics 99
105. Annualized rates of return were calculated from closing prices of Caterpillar
(CAT) and General Mills (GIS) common stock. Descriptive statistics of these
rates of return presented in the following table.
CAT GIS
Mean 0.233621705 0.139744793
Standard Error 0.162775427 0.097267227
Median 0.194367839 0.122108626
Mode #N/A 0
Standard Deviation 1.091930758 0.652488394
Sample Variance 1.19231278 0.425741105
Kurtosis 6.478114897 -0.59713571
Skewness 1.647492156 0.058132445
Range 6.669350226 2.710777183
Minimum -1.770866463 -1.256246317
Maximum 4.898483762 1.454530866
Sum 10.51297674 6.288515695
Count 45 45
Describe what these descriptive statistics reveal about the market performance of
these two stocks.
M
BApp
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100 Test Bank
106. Descriptive statistics of daily sales ($'s) were calculated for two Bob's Quick
Shops -- the Southside store, and the Midcity store.
Southside Midcity
Mean 5025.622 2733.333
Standard Error 118.306 249.1417
Median 5110.73 2000Mode #N/A 1000
Standard Deviation 916.394 1929.843
Sample Variance 839778 3724294
Kurtosis -0.64387 -0.49322
Skewness -0.05517 0.860968
Range 3949.172 6000
Minimum 3133.362 1000
Maximum 7082.534 7000
Sum 301537.3 164000
Count 60 60
Describe what these descriptivie statistics indicate about daily sales at these two
stores.
M
BApp
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Chapter 3: Descriptive Statistics 101
C 107. According to the following graphic, X and Y are _________.
E A. strong negative correlation
BApp B. virtually no correlation
C. strong positive correlation
D. moderate negative correlation
B 108. According to the following graphic, X and Y are _________.
E A. strong negative correlation
BApp B. virtually no correlation
C. strong positive correlation
D. moderate negative correlation
70
80
90
100
110
120
130
1400 1600 1800 2000 2200 2400
X
Y
70
80
90
100
110
120
130
0 5 10 15 20 25 30
X
Y