# stats data bank

29. Which of the following is not a measure of central tendency?

a. the standard deviation

b. the mean

c. the mode

d. the median

e. all of the above are measures of central tendency

30. Which of the following is not a measure of spread or dispersion?

a. the standard deviation

b. the range

c. the mean

d. the variance

e. all of the above are measures of spread

31. The measure most likely affected by extreme values or outliers is the:

a. median

b. mean

c. mode

d. inter-quartile range

e. none of the above

32. Which of the following statements is correct?

a. the range is found by taking the difference between the largest and smallest values and dividing by 2

b. the inter-quartile range is found by taking the difference between the first and third quartiles and dividing that value by 2

c. the standard deviation is expressed in terms of the original units of measurement but the variance is not

d. the value of the standard deviation may be positive or negative but the value of the variance will always be positive

e. none of the above

33. Which of the following statements are correct?

a. the mean is a measure of deviation in a data set

b. the standard deviation is a measure of dispersion

c. the range is a measure of central tendency

d. the median is a measure of dispersion

e. none of the above

34. Which of the following is the weakest (or least useful) measure of dispersion?

a. the range

b. the standard deviation

c. the coefficient of variation

d. the variance

e. none of the above

35. Which of the following is not a measure of variability in a data set?

a. the range

b. the variance

c. the inter-quartile range

d. the median

e. none of the above

36. For a negatively skewed distribution with a single mode

a. Mean = median = mode

b. Mean median ? mode

d. Mean = median but one is unable to tell where the mode would lie

e. None of the above

37. For a perfectly symmetrical distribution with a single mode

a. Mean = median = mode

b. Mean median ? mode

d. Mean = median but one is unable to tell where the mode would lie

e. None of the above

38. For a positively skewed distribution with a single mode

a. Mean = median = mode

b. Mean median ? mode

d. Mean = median but one is unable to tell where the mode would lie

e. None of the above

39. A restaurant conducts a survey to determine the quality of their service. Customers were asked to rate their service as either very poor, poor, average, good or excellent. The most appropriate measure of central location for this data set is:

a. Mean

b. Coefficient of Variation

c. Standard deviation

d. Variance

e. Median

40. Given a positively skewed distribution with a median of 10 and a mode of 8. Which of the following is not a possible value for the mean?

a. 12

b. 11

c. 6

d. 18

e. 15

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

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

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

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

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

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

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

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. 98c. 79

d. 55

e. 91

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

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

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

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

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

55. The following calculations on a data set have been done for you:åx = 110,åx2 = 1235, n = 10. What is the coefficient of variation?

a. 0.152

b. 0.495

c. 0.754

d. 1.047

e. 0.500

56. The following calculations on a data set have been done for you:åx = 110,åx2 = 1235, n = 12. What is the coefficient of variation?

a. 0.152

b. 0.495

c. 0.754

d. 1.047

e. 0.500

57. The following calculations on a data set have been done for you:åx = 110,åx2 = 1235, n = 15. What is the coefficient of variation?

a. 0.152

b. 0.495

c. 0.754

d. 1.047

e. 0.500

58. The following calculations on a data set have been done for you:åx = 110,åx2 = 1235, n = 20. What is the coefficient of variation?

a. 0.152

b. 0.495

c. 0.754

d. 1.047

e. 0.500

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

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

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