Measures Of Variability Full Test Bank Ch.4 2nd Edition - Fundamental Statistics Social Sciences 2e Complete Test Bank by Howard T. Tokunaga. DOCX document preview.
Chapter 4: Measures of Variability
Test Bank
Multiple Choice
1. The ______ primarily measures the ______ of a distribution of scores for a variable.
a. range; variability
b. standard deviation; symmetry
c. mean; variability
d. variance; modality
Cognitive Domain: Knowledge
Answer Location: The Range
Difficulty Level: Easy
2. The range is defined as ______.
a. the middle 50% of the scores in a set of data
b. the mathematical difference between the lowest and highest scores in a set of data
c. average squared deviation from the mean
d. average squared deviation of a score from the population mean
Cognitive Domain: Knowledge
Answer Location: The Range
Difficulty Level: Easy
3. What is the range for this set of data? 5, 7, 10, 12, 6, 8
a. 3
b. 7
c. 11
d. 8
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Easy
4. What is the range of the following set of data? 2, 15, 7, 9, 21, 14, 19, 13
a. 8
b. 12
c. 19
d. 21
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Easy
5. What is the range for this set of data? 11, 6, 5, 7, 13, 12
a. 1
b. 8
c. 6
d. 9
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Easy
6. What is the range for this set of data? 3.09, 2.62, 2.81, 3.17, 3.62, 3.35
a. .26
b. 1.00
c. 2.99
d. 3.11
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Easy
7. What is the range for this set of data? .28, .31, .54, .72, .61, .48
a. .20
b. .44
c. .63
d. .49
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Medium
8. What is the range for this set of data? 35, 48, 36, 39, 32, 45, 50, 42
a. 7
b. 17
c. 18
d. 41
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Easy
9. What is the range for this set of data? 1.64, 1.51, 1.79, 1.38, 1.92, 1.54, 1.75, 1.91
a. .27
b. .54
c. 1.65
d. 1.68
Cognitive Domain: Application
Answer Location: The Range
Difficulty Level: Medium
10. Compared with other measures of variability, what is a strength of the range?
a. It is quick and easy to compute.
b. It can be used in statistics designed to test hypotheses.
c. It is based on all of the scores in the set of data.
d. It is not affected by outliers.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
11. Which of the following is a strength of the range?
a. It accurately reflects the amount of variability in the entire distribution of scores.
b. It provides information about the sample from which the data were collected.
c. It represents the variability in a set of data while lessening the influence of outliers.
d. It can be used in statistical analyses designed to test hypotheses about distributions.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
12. Which of the following is a weakness of the range?
a. It lessens the influence of outliers by only taking into consideration 50% of the distribution.
b. It takes into account all the scores of a distribution.
c. It is difficult to compute.
d. It may not accurately reflect the amount of variability in the entire distribution.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
13. The ______ is the range of the middle 50% of the scores in a set of data.
a. variance
b. standard deviation
c. range
d. interquartile range
Cognitive Domain: Knowledge
Answer Location: The Interquartile Range
Difficulty Level: Easy
14. To overcome the effects of outliers on the range for a set of data, one could instead calculate the ______.
a. interquartile range
b. standard deviation
c. variance
d. mean
Cognitive Domain: Knowledge
Answer Location: The Interquartile Range
Difficulty Level: Easy
15. Which of the following is true about the interquartile range?
a. It is the highest score minus the lowest score in a set of data.
b. It is based on all of the scores in the set of data.
c. It is calculated by removing the highest and lowest 25% of scores.
d. It includes all of the scores except the highest 25% of scores.
Cognitive Domain: Knowledge
Answer Location: The Interquartile Range
Difficulty Level: Easy
16. The interquartile range can be defined as ______.
a. the highest score minus the lowest score in a set of data
b. the range of the middle 50% of the scores in a set of data
c. the range of all of the scores in a set of data
d. the average deviation of a score from the mean
Cognitive Domain: Knowledge
Answer Location: The Interquartile Range
Difficulty Level: Easy
17. Which of the following is NOT true about the interquartile range?
a. It is less affected by outliers than is the range.
b. It consists of using only the middle 50% of the scores in a data set.
c. It removes the highest and lowest 25% of the distribution.
d. It subtracts the highest score from the lowest score.
Cognitive Domain: Comprehension
Answer Location: The Interquartile Range
Difficulty Level: Medium
18. What is an advantage of calculating the interquartile range instead of the range?
a. The mean is used in the calculation of the interquartile range.
b. The interquartile range is less affected by outliers than the range.
c. The interquartile range is based on all of the scores in the set of data.
d. The interquartile range removes the highest 25% of the distribution.
Cognitive Domain: Comprehension
Answer Location: The Interquartile Range
Difficulty Level: Medium
19. Compared to the range, the primary purpose of the interquartile range is to represent the variability in a set of data ______.
a. while lessening the influence of outliers
b. while increasing the influence of outliers
c. using deviations from the mean
d. by taking into account all of the scores of a distribution
Cognitive Domain: Comprehension
Answer Location: Strengths and Weaknesses of the Interquartile Range
Difficulty Level: Medium
20. What is the interquartile range for this set of data? 5, 4, 7, 2, 9, 1, 11, 8
a. 3
b. 10
c. 6
d. 4
Cognitive Domain: Application
Answer Location: The Interquartile Range
Difficulty Level: Medium
21. What is the interquartile range for this set of data? 5, 4, 7, 3, 10, 2, 11, 9
a. 4
b. 5
c. 6
d. 9
Cognitive Domain: Application
Answer Location: The Interquartile Range
Difficulty Level: Medium
22. What is the interquartile range for this set of data? 13, 7, 15, 6, 28, 3, 23, 17
a. 4
b. 10
c. 14
d. 25
Cognitive Domain: Application
Answer Location: The Interquartile Range
Difficulty Level: Medium
23. What is the interquartile range for this set of data? 18, 17, 20, 14, 27, 13, 30, 24
a. 6
b. 17
c. 7
d. 19
Cognitive Domain: Application
Answer Location: The Interquartile Range
Difficulty Level: Medium
24. What is the interquartile range for this set of data? 50, 78, 64, 39, 97, 88, 43, 47, 73, 41, 56, 84, 67, 72, 92, 59
a. 16
b. 24
c. 28
d. 58
Cognitive Domain: Application
Answer Location: The Interquartile Range
Difficulty Level: Medium
25. Variance (s2) may be defined as ______.
a. the most common or frequently occurring score in a distribution
b. the average squared deviation of a score from the mean
c. the mathematical average
d. the score that splits a distribution into two equal halves
Cognitive Domain: Knowledge
Answer Location: Definitional Formula for the Variance
Difficulty Level: Easy
26. The average squared deviation of a score from the mean is the ______.
a. range
b. interquartile range
c. variance
d. standard deviation
Cognitive Domain: Knowledge
Answer Location: Definitional Formula for the Variance
Difficulty Level: Easy
27. Calculating the variance (s2) involves ______ deviations because______.
a. squaring; the sum of unsquared deviations is equal to 0
b. multiplying; samples are smaller than populations
c. subtracting; deviations are always positive
d. dividing; distributions are sometimes skewed (asymmetric)
Cognitive Domain: Comprehension
Answer Location: Definitional Formula for the Variance
Difficulty Level: Medium
28. The formula 
is the ______ formula for the ______.
a. definitional; sum of squares
b. computational; standard deviation
c. computational; sum of squares
d. definitional; population variance
Cognitive Domain: Knowledge
Answer Location: Computational Formula for the Variance
Difficulty Level: Hard
29. The formula 
is the ______ formula for the ______ .
a. definitional; variance
b. computational; standard deviation
c. computational; variance
d. definitional; mean
Cognitive Domain: Knowledge
Answer Location: Computational Formula for the Variance
Difficulty Level: Hard
30. The formula 
is the ______ formula for the ______.
a. definitional; variance
b. definitional; standard deviation
c. computational; variance
d. definitional; mean
Cognitive Domain: Knowledge
Answer Location: Computational Formula for the Variance
Difficulty Level: Hard
31. The formula 
is the ______ formula for the ______ .
a. computational; degrees of freedom
b. computational; range
c. definitional; sum of squares
d. definitional; mean
Cognitive Domain: Knowledge
Answer Location: The Variance (s2)
Difficulty Level: Hard
32. What is the variance (s2) for this set of data?
1, 5, 6
a. 4.00
b. 2.65
c. 7.00
d. 4.67
Cognitive Domain: Application
Answer Location: Definitional Formula for the Variance
Difficulty Level: Hard
33. What is the variance (s2) for this set of data?
7, 11, 15
a. 11.00
b. 4.00
c. 16.00
d. 10.67
Cognitive Domain: Application
Answer Location: Definitional Formula for the Variance
Difficulty Level: Hard
34. What is the variance (s2) for this set of data?
2, 5, 7, 10
a. 3.37
b. 6.00
c. 8.50
d. 11.33
Cognitive Domain: Application
Answer Location: Definitional Formula for the Variance
Difficulty Level: Hard
35. What is the variance (s2) for this set of data?
6, 7, 10, 13
a. 9.00
b. 3.16
c. 10.00
d. 7.50
Cognitive Domain: Application
Answer Location: Definitional Formula for the Variance
Difficulty Level: Hard
36. What is the variance (s2) for this set of data?
5, 9, 13, 17
a. 11.00
b. 5.16
c. 26.67
d. 20.00
Cognitive Domain: Application
Answer Location: Definitional Formula for the Variance
Difficulty Level: Hard
37. What would the variance be for the following data? 10, 19, 15, 20, 21, 11
a. 16.00
b. 21.30
c. 22.40
d. 24.56
Cognitive Domain: Application
Answer Location: Definitional Formula for the Variance
Difficulty Level: Hard
38. What is the sum of squared scores 
for this set of data?
2, 4, 5, 7
a. 18.00
b. 94.00
c. 324.00
d. 4.50
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
39. What is the sum of squared scores for this set of data?
3, 6, 8, 9
a. 6.50
b. 26.00
c. 190.00
d. 676.00
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
40. What is the sum of squared scores for this set of data?
6, 2, 10, 7
a. 25.00
b. 189.00
c. 625.00
d. 6.25
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
41. What is the sum of squared scores for this set of data?
14, 11, 7, 16
a. 48.00
b. 12.00
c. 304.00
d. 622.00
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
42. What is the sum of squared scores for this set of data?
21, 16, 25, 22
a. 84.00
b. 1806.00
c. 7056.00
d. 21.00
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
43. What is the sum of squared scores for this set of data?
1.52, 2.04, 2.36, 1.91
a. 7.83
b. 15.69
c. 61.31
d. 1.96
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
44. What is the sum of squared scores for this set of data?
3.59, 3.02, 2.87, 3.16, 3.72
a. 3.27
b. 16.36
c. 54.07
d. 267.65
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
45. What is the sum of squared scores for this set of data?
6.72, 7.13, 8.91, 5.52, 7.23, 8.45
a. 43.96
b. 329.53
c. 1932.48
d. 7.33
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
46. What is the standard deviation (s) for this set of data?
2, 6, 10
a. 4.00
b. 6.00
c. 16.00
d. 3.27
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
47. What is the standard deviation (s) for this set of data?
11, 16, 21
a. 4.08
b. 5.00
c. 16.00
d. 25.00
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
48. What is the standard deviation (s) for this set of data?
3, 4, 6, 7
a. 1.83
b. 5.00
c. 3.33
d. 1.58
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
49. What is the standard deviation (s) for this set of data?
11, 7, 8, 12
a. 2.06
b. 2.38
c. 5.67
d. 9.50
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
50. What is the standard deviation (s) for this set of data?
24, 18, 21, 28
a. 4.27
b. 22.75
c. 18.25
d. 3.70
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
51. What would the standard deviation be for the following data?
25, 27, 29, 20, 21
a. 3.15
b. 3.85
c. 15
d. 16.80
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
52. What is the standard deviation (s) for this set of data?
6, 13, 11, 9, 16
a. 3.81
b. 11.00
c. 14.50
d. 3.41
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
53. What is the standard deviation (s) for this set of data?
3.48, 4.60, 3.93, 4.85, 3.15
a. .72
b. 4.00
c. .52
d. .65
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
54. What is the standard deviation (s) for this set of data?
4, 2, 7, 5, 4, 1
a. 4.57
b. 3.83
c. 3.14
d. 2.14
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
55. What is the standard deviation (s) for this set of data?
4.41, 6.13, 5.72, 6.09, 4.13, 5.24
a. .85
b. 5.29
c. .73
d. .78
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
56. Which of these distributions will have the smallest standard deviation?
a. flat
b. peaked
c. skewed
d. bimodal
Cognitive Domain: Comprehension
Answer Location: The Standard Deviation (s)
Difficulty Level: Hard
57. For this set of data, 
is equal to ______.
104, 116, 95, 121, 87
a. 3081027049
b. 523.60
c. 55507
d. 273529
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
58. For this set of data, 
is equal to ______.
104, 116, 95, 121, 87
a. 3081027049
b. 523
c. 55507
d. 273529
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
59. For this set of data, the mean 
is equal to ______.
104, 116, 95, 121, 87
a. 12.66
b. 14.15
c. 104.60
d. 523
Cognitive Domain: Application
Answer Location: The Variance (s2)
Difficulty Level: Medium
60. For this set of data, the standard deviation (s) is equal to ______.
104, 116, 95, 121, 87
a. 12.66
b. 14.15
c. 104.60
d. 523
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
61. For this set of data, is equal to ______.
17, 87, 101, 280, 680
a. 71853.50
b. 1165
c. 1357225
d. 558859
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
62. For this set of data, is equal to ______.
17, 87, 101, 280, 680
a. 71853.50
b. 1165
c. 1357225
d. 558859
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
63. For this set of data, the mean 
is equal to ______.
17, 87, 101, 280, 680
a. 233.00
b. 268.06
c. 1165
d. 71853.50
Cognitive Domain: Application
Answer Location: The Variance (s2)
Difficulty Level: Medium
64. For this set of data, the standard deviation (s) is equal to ______.
17, 87, 101, 280, 680
a. 233.00
b. 268.06
c. 1165
d. 71853.50
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
65. For this set of data, is equal to ______.
85, 101, 280, 580, 880
a. 3709476.00
b. 385.20
c. 1926.00
d. 1206626.00
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
66. For this set of data, is equal to ______.
85, 101, 280, 580, 880
a. 3709476.00
b. 385.20
c. 1926.00
d. 1206626.00
Cognitive Domain: Application
Answer Location: Computational Formula for the Variance
Difficulty Level: Medium
67. For this set of data, the mean is equal to ______.
85, 101, 280, 580, 880
a. 304.88
b. 340.86
c. 385.20
d. 1926.00
Cognitive Domain: Application
Answer Location: The Variance (s2)
Difficulty Level: Medium
68. For this set of data, the standard deviation (s) is equal to ______.
85, 101, 280, 580, 880
a. 304.88
b. 340.86
c. 385.20
d. 1926.00
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
69. For this set of data, is equal to ______.
9, 8, 10, 5, 5, 2, 3, 9, 6, 3
a. 51
b. 353
c. 2601
d. 26010
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Medium
70. For this set of data, is equal to ______.
9, 8, 10, 5, 5, 2, 3, 9, 6, 3
a. 5.67
b. 51
c. 353
d. 2601
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Medium
71. For this set of data, the mean is equal to ______.
9, 8, 10, 5, 5, 2, 3, 9, 6, 3
a. 5.67
b. 51
c. 353
d. 2601
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Medium
72. For this set of data, the standard deviation (s) is equal to ______.
9, 8, 10, 5, 5, 2, 3, 6, 3
a. 2.83
b. 5.67
c. 8.00
d. 51
Cognitive Domain: Application
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Hard
73. What is the population standard deviation (σ) for this set of data?
7, 9, 5, 12
a. 2.99
b. 8.25
c. 6.69
d. 2.59
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
74. What is the population standard deviation (σ) for this set of data?
42, 50, 45, 37
a. 5.45
b. 43.50
c. 22.25
d. 4.72
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
75. What is the population standard deviation (σ) for this set of data?
3.61, 2.43, 3.14, 3.95
a. .32
b. .57
c. .66
d. 3.28
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
76. What is the population standard deviation (σ) for this set of data?
2, 4, 1, 5, 3
a. 1.41
b. 1.58
c. 2.00
d. 3.00
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
77. What is the population standard deviation (σ) for this set of data?
72, 61, 80, 76, 54
a. 10.81
b. 68.60
c. 93.44
d. 9.67
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
78. What is the population standard deviation (σ) for this set of data?
11.64, 12.70, 15.33, 9.85, 10.47
a. 2.16
b. 12.00
c. 3.73
d. 1.93
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
79. What is the population standard deviation (σ) for this set of data?
.51, .23, .38, .64, .15, .45
a. .18
b. .39
c. .03
d. .17
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
80. What is the population standard deviation (σ) for this set of data?
3.76, 4.12, 3.29, 2.84, 4.93, 2.15
a. .98
b. 3.52
c. .80
d. .89
Cognitive Domain: Application
Answer Location: The Population Standard Deviation
Difficulty Level: Hard
81. ______ is an example of a ______.
a. μ; parameter
b. σ; measure of central tendency
c. μ; measure of variability
d. σ; statistic
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Medium
82. ______ is an example of a ______.
a. σ; measure of variability
b. s; measure of central tendency
c. s; parameter
d. μ; statistic
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Medium
83. ______ is an example of a ______.
a. X; parameter
b. σ; measure of central tendency
c. μ; measure of variability
d. s; statistic
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Medium
84. ______ is an example of a ______.
a. σ; measure of central tendency
b. μ; measure of variability
c. s2; statistic
d. 
; parameter
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Medium
85. ______ is a ______, which is used to describe a ______.
a. ; parameter; sample
b. s; statistic; population
c. μ; parameter; population
d. σ; statistic; sample
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Medium
86. ______ is a ______, which is used to describe a ______.
a. σ; parameter; population
b. μ; statistic; population
c. s; parameter; sample
d. ; parameter; population
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Hard
87. ______ is a ______, which is used to describe a ______.
a. σ; parameter; sample
b. μ; statistic; population
c. s; parameter; population
d. ; statistic; sample
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Hard
88. ______ is a ______, which is used to describe a ______.
a. 
; parameter; population
b. s2; statistic; sample
c. μ; parameter; sample
d. σ; statistic; population
Cognitive Domain: Knowledge
Answer Location: Measures of Variability for Samples vs. Populations
Difficulty Level: Hard
89. You would calculate the population standard deviation (σ) for a collected set of data when ______.
a. your sample is larger than the population
b. you want to test hypotheses about populations
c. you have collected data from the entire population
d. the mood hits you
Cognitive Domain: Comprehension
Answer Location: Measures of Variability for Populations
Difficulty Level: Easy
90. You would calculate parameters rather than statistics for a set of data you have collected when ______.
a. you want to test hypotheses about populations
b. your sample is very small
c. you have collected data from the entire population
d. your calculator runs out of batteries
Cognitive Domain: Comprehension
Answer Location: Measures of Variability for Populations
Difficulty Level: Easy
91. As the size of a sample (N) increases, the difference between the value of the sample standard deviation (s) and the population standard deviation (σ) calculated for the same set of data ______.
a. increases
b. decreases
c. stays the same
d. none of these
Cognitive Domain: comprehension
Answer Location: Measures of Variability for Populations
Difficulty Level: Hard
92. After grading an examination, an instructor realizes there is a wide range of ability in her class. He realizes this because ______ than she expected.
a. the mean was higher
b. the range was smaller
c. the mean was lower
d. the standard deviation was higher
Cognitive Domain: Application
Answer Location: The Standard Deviation (s)
Difficulty Level: Hard
93. After grading an exam, an instructor believes the test was easier than expected; this is because ______.
a. the mean was higher than she expected
b. the standard deviation was larger than she expected
c. the mean was lower than she expected
d. the distribution was bimodal
Cognitive Domain: Application
Answer Location: An Example from the Research: How Many “Sometimes” in an “Always”?
Difficulty Level: Hard
94. Imagine after grading this exam I look at the distribution of test scores in this class and conclude there is a group of students for whom the material was very difficult and another group of students for whom the material was very easy. Which of the following would MOST likely lead to this conclusion?
a. The distribution is bimodal.
b. The standard deviation is very small.
c. The mean was higher than I expected.
d. The distribution is peaked.
Cognitive Domain: Application
Answer Location: An Example from the Research: How Many “Sometimes” in an “Always”?
Difficulty Level: Hard
95. Imagine after grading this exam I look at the distribution of test scores in this class and conclude the distribution is symmetrical and peaked. Which of the following would MOST likely lead to this conclusion?
a. The mean and median are the same AND the standard deviation is very small.
b. There are two modes AND the standard deviation is very large.
c. The mean and median are different AND the range is very large.
d. The mean is very high AND there is a large number of outliers.
Cognitive Domain: Application
Answer Location: Measures of Variability: Drawing Conclusions
Difficulty Level: Hard
96. Imagine after grading this exam I look at the distribution of test scores in this class and conclude the distribution is asymmetrical. Which of the following would MOST likely lead to this conclusion?
a. The mean and median are different.
b. The range is very large.
c. The mean and median are the same.
d. There are two modes.
Cognitive Domain: Application
Answer Location: Measures of Variability: Drawing Conclusions
Difficulty Level: Hard
97. The ______ measures the ______ of a distribution of scores for a variable.
a. mean; variability
b. standard deviation; variability
c. range; modality
d. variance; symmetry
Cognitive Domain: Comprehension
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Medium
98. The ______ measures the ______ of a distribution of scores for a variable.
a. standard deviation; modality
b. mode; variability
c. mean; modality
d. range; symmetry
Cognitive Domain: Comprehension
Answer Location: An Example from the Research: How Many “Sometimes” in an “Always”?
Difficulty Level: Medium
99. George calculates a value of –1.87 for the variance (s2) for a set of data. This necessarily implies ______.
a. the distribution of scores is negatively skewed
b. there are outliers in the data
c. most of the scores are less than the mean
d. he needs to check his calculations
Cognitive Domain: Comprehension
Answer Location: Definitional Formula for the Variance
Difficulty Level: Easy
100. Sarah calculates a value of –7.20 for the variance (s2) for a set of data. This necessarily implies ______.
a. she needs to check her calculations
b. the mean is less than the standard deviation
c. the sum of the negative deviations from the mean are greater than the sum of the positive deviations
d. the distribution of scores is negatively skewed
Cognitive Domain: Comprehension
Answer Location: Definitional Formula for the Variance
Difficulty Level: Easy
101. George calculates a standard deviation and obtains a value of s = –5.37. This necessarily implies ______.
a. the distribution of scores is negatively skewed
b. there is a small amount of variability in the set of data
c. the distribution is bimodal
d. he needs to check his calculations
Cognitive Domain: Comprehension
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Easy
102. College GPAs can range from 0.00 to 4.00. Ben collects GPAs from a sample of students and calculates a standard deviation (s) of 6.13. This most likely implies ______.
a. the distribution of GPAs is bimodal
b. there is a great deal of variability in the GPAs of his sample
c. he needs to check his calculations
d. the distribution of GPAs is symmetrical
Cognitive Domain: Comprehension
Answer Location: Definitional Formula for the Standard Deviation
Difficulty Level: Easy
103. After grading an exam, an instructor realizes there is a very narrow range of ability in her class. He realizes this because ______ than she expected.
a. the mean was higher
b. the range was larger
c. the standard deviation was smaller
d. the median was wider
Cognitive Domain: Comprehension
Answer Location: Measures of Variability: Drawing Conclusions
Difficulty Level: Medium
104. In the ice skating competition in the Winter Olympics, each skater’s score is the average of the different judges’ ratings. However, before this average is calculated, the lowest and the highest ratings among the judges are discarded. Which of the following is a reason why these scores are discarded?
a. to eliminate the effect of outliers
b. to change the mode of the distribution
c. to increase the variability of judges’ ratings
d. to make the distribution more flat
Cognitive Domain: Comprehension
Answer Location: Strengths and Weaknesses of the Interquartile Range
Difficulty Level: Medium
105. A distribution of scores may have more than one ______.
a. mean
b. median
c. mode
d. standard deviation
Cognitive Domain: Comprehension
Answer Location: Understanding Variability
Difficulty Level: Easy
106. Which of these is NOT affected by outliers?
a. standard deviation
b. median
c. variance
d. mean
Cognitive Domain: Comprehension
Answer Location: Strengths and Weaknesses of the Interquartile Range
Difficulty Level: Medium
107. Which of these is based on all of the scores in a set of data?
a. the mode
b. the range
c. the median
d. the mean
Cognitive Domain: Comprehension
Answer Location: An Example from the Research: How Many “Sometimes” in and “Always”
Difficulty Level: Medium
108. Which of the following can be a negative number?
a. the sum of squared deviations (SS)
b. the mean
c. the standard deviation (s)
d. the variance (s2)
Cognitive Domain: Comprehension
Answer Location: Understanding Variability
Difficulty Level: Medium
109. Which of these is NOT based on all of the scores in a set of data?
a. mean
b. standard deviation
c. variance
d. range
Cognitive Domain: Comprehension
Answer Location: The Range
Difficulty Level: Medium
110. Which of these is based on all of the scores in a set of data?
a. mode
b. median
c. variance
d. range
Cognitive Domain: comprehension
Answer Location: The Variance (s2)
Difficulty Level: Medium
111. Which of these is based on ALL of the scores in a set of data?
a. standard deviation
b. median
c. mode
d. range
Cognitive Domain: Comprehension
Answer Location: Computational Formula for the Standard Deviation
Difficulty Level: Medium
True/False
1. The range is calculated by subtracting the lowest score in a data set from the highest score.
Cognitive Domain: Knowledge
Answer Location: The Range
Difficulty Level: Easy
2. One weakness of the range is that it cannot be used in statistical analyses designed to test hypotheses about populations.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
3. One strength of the range is that it can be used in statistical analyses designed to test hypotheses about populations.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
4. A strength of the range is that it is easy and quick to compute, particularly if the sample is small or if computer software is used to sort the scores.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
5. If the range is the same for two sets of data, the variability for both sets of data is also the same.
Cognitive Domain: Knowledge
Answer Location: Strengths and Weaknesses of the Range
Difficulty Level: Easy
6. The interquartile range is calculated using 75% of the data set.
Cognitive Domain: Comprehension
Answer Location: The Interquartile Range
Difficulty Level: Easy
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Fundamental Statistics Social Sciences 2e Complete Test Bank
By Howard T. Tokunaga