Statistics MCQs-Numerical Descriptive Statistics and Sampling Part 3
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41. Given a negatively skewed distribution with a median of 8 and a mode of 10. Which of the following is not a possible value for the mean?
a. 7
b. 1
c. 12
d. 5
e. 3
Answer: C
42. Which of the following data sets has the largest variance?
a. 1; 2; 3; 4; …..100
b. 11; 12; 13;….110
c. 2; 4; 6; …200
d. 1001; 1002; 1003; ….1100
e. all of the above have equal variance
Answer: C
43. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 55, 80, 49, 91, 66. What is the sample variance for this sample?
a. 18.46
b. 19.46
c. 378.71
d. 389.21
e. 329.98
Answer: C
44. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 52, 80, 49, 91, 66. What is the sample variance for this sample?
a. 19.73
b. 19.46
c. 378.71
d. 389.21
e. 329.98
Answer: D
45. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 55, 80, 49, 19, 66. What is the sample variance for this sample?
a. 23.48
b. 19.46
c. 378.71
d. 551.51
e. 329.98
Answer: D
46. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 43, 98, 78, 76, 55, 80, 49, 91, 66. What is the sample variance for this sample?
a. 18.46
b. 17.78
c. 316.01
d. 389.21
e. 329.98
Answer: C
47. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 55, 80, 49, 91, 66. What is the range of marks for this sample?
a. 64
b. 98
c. 79
d. 55
e. 91
Answer: A
48. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 52, 80, 49, 91, 66. What is the range of marks for this sample?
a. 64
b. 98
c. 79
d. 55
e. 91
Answer: A
49. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 55, 80, 49, 19, 66. What is the range of marks for this sample?
a. 64
b. 98
c. 79
d. 55
e. 91
Answer: C
50. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 43, 98, 78, 76, 55, 80, 49, 91, 66. What is the range of marks for this sample?
a. 64
b. 98
c. 79
d. 55
e. 91
Answer: D
51. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 55, 80, 49, 91, 66. What is the coefficient of variation for this sample?
a. 0.28
b. 0.30
c. 0.38
d. 0.25
e. 0.50
Answer: A
52. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 52, 80, 49, 91, 95. What is the coefficient of variation for this sample?
a. 0.28
*b. 0.30
c. 0.38
d. 0.25
e. 0.50
53. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 34, 98, 78, 76, 55, 80, 49, 19, 66. What is the coefficient of variation for this sample?
a. 0.28
b. 0.30
c. 0.38
d. 0.25
e. 0.50
Answer: C
54. The following marks are the test 1 marks for 10 randomly selected STA100 students: 67, 43, 98, 78, 76, 55, 80, 49, 91, 66. What is the coefficient of variation for this sample?
a. 0.28
b. 0.30
c. 0.38
d. 0.25
e. 0.50
Answer: D
55. The following calculations on a data set have been done for you: ∑x = 110, ∑x2 = 1235, n = 10. What is the coefficient of variation?
a. 0.152
b. 0.495
c. 0.754
d. 1.047
e. 0.500
Answer: A
56. The following calculations on a data set have been done for you: ∑x = 110, ∑x2 = 1235, n = 12. What is the coefficient of variation?
a. 0.152
b. 0.495
c. 0.754
d. 1.047
e. 0.500
Answer: B
57. The following calculations on a data set have been done for you: ∑x = 110, ∑x2 = 1235, n = 15. What is the coefficient of variation?
a. 0.152
b. 0.495
c. 0.754
d. 1.047
e. 0.500
Answer: C
58. The following calculations on a data set have been done for you: ∑x = 110, ∑x2 = 1235, n = 20. What is the coefficient of variation?
a. 0.152
b. 0.495
c. 0.754
d. 1.047
e. 0.500
Answer: D
59. Which of the following data sets has a mean of 3 and a variance of 0?
a. 3 3 3 3 3
b. 2 3 4 4 2
c. 1 3 5 1 4
d. 9 9 9 9 9
e. None of the above
Answer: A
60. The length of the box in the box and whisker plot portrays the:
a. Median
b. Upper quartile
c. Mean
d. Range
e. Interquartile range
Answer: E