Measures of Dispersion Objective Question and Answer
Measures of Dispersion MCQ Multiple Choice Questions - Page 2 for Practice
31. Which measure of dispersion has a different unit other than the unit of measurement of values:
Correct Answer is: Variance
32. Which of the following is a unit free quantity:
Correct Answer is: Coefficient of variation
33. If the dispersion is small, the standard deviation is:
Correct Answer is: Small
34. The value of standard deviation changes by a change of:
Correct Answer is: Scale
35. The standard deviation one distribution dividedly the mean of the distribution and expressing in percentage is called:
Correct Answer is: Coefficient of variation
36. The positive square root of the mean of the squares of the cleviations of observations from their mean is called:
Correct Answer is: Standard deviation
37. The variance is zero only if all observations are the:
Correct Answer is: Same
38. The standard deviation is independent of:
Correct Answer is: Change of origin
39. If there are ten values each equal to 10, then standard deviation of these values is:
Correct Answer is: Please check the page for the answer.
40. S.D(X) = 6 and S.D(Y) = 8. If X and Yare independent random variables, then S.D(X-Y) is:
Correct Answer is: 10
41. For two independent variables X and Y if S.D(X) = 1 and S.D(Y) = 3, then Var(3X - Y) is equal to:
Correct Answer is: 18
42. If Y = aX ± b, where a and b are any two constants and a ≠ 0, then Vat (Y) is equal to:
Correct Answer is: a2 Var(X) – b
43. If Y = aX + b, where a and b are any two numbers but a ≠ 0, then S.D(Y) is equal to:
Correct Answer is: |a| S.D(X)
44. The ratio of the standard deviation to the arithmetic mean expressed as a percentage is called:
Correct Answer is: Coefficient of variation
45. Which of the following statements is correct?
Correct Answer is: The variance is positive quantity and is expressed in square of the units of the observations
46. Which of the following statements is false?
Correct Answer is: Variance of the sum or difference of any two variables is equal to the sum of their respective variances
47. If Var(X) = 25, then is equal to:
Correct Answer is: 5
48. To compare the variation of two or more than two series, we use
Correct Answer is: Coefficient of variation
49. The standard deviation of -5, -5, -5, -5, 5 is:
Correct Answer is: Please check the page for the answer.
50. Standard deviation is always calculated from:
Correct Answer is: Mean
51. The mean of an examination is 69, the median is 68, the mode is 67, and the standard deviation is 3. The measures of variation for this examination is:
Correct Answer is: 3
52. The variance of 19, 21, 23, 25 and 27 is 8. The variance of 14, 16, 18, 20 and 22 is:
Correct Answer is: 8
53. In a set of observations the variance is 50. All the observations are increased by 100 %. The variance of the increased observations will become:
Correct Answer is: 200
54. Three factories A, B, C have 100, 200 and 300 workers respectively. The mean of the wages is the same in the three factories. Which of the following statements is true?
Correct Answer is: None of the above
55. An automobile manufacturer obtains data concerning the sales of six of its deals in the last week of 1996. The results indicate the standard deviation of their sales equals 6 autos. If this is so, the variance of their sales equals:
Correct Answer is: 36
56. If standard deviation of the values 2, 4, 6, 8 is 2.236, then standard deviation of the values 4, 8,12, 16 is:
Correct Answer is: 4.472
57. Var(X) = 4 and Var(Y) =9. If X and Y are independent random variable then Var(2X + Y) is:
Correct Answer is: 25
58. If = Rs.20, S= Rs.10, then coefficient of variation is:
Correct Answer is: 50%
59. Which of the following measures of dispersion is independent of the units employed?
