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measures of dispersion MCQs

Practise focused measures of dispersion questions with marked answers for exam preparation and subject revision.

measures of dispersion Mcqs
1. If Skewed distribution the three averages mean, median and mode are ________?
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A. Identical

B. None of these

C. Different

D. Zero

2. The ________ in the distribution around which the observation to lie?
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A. Central value

B. Manner

C. Mean

D. Dispersion

3. Relative measure of skewness was introduced by _____________?
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A. Mode

B. Lack

C. Karl Person

D. Rowely

4. If the standard deviation of the values 2,4,6,8 is 2.33, then the standard deviation of the values 4,6,8,10 is_____________?
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A. 4.66

B. 2.58

C. 2.33

D. 0

5. Mean deviation is equal to 4/5 of the _________ manipulation?
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A. Variance

B. Quartile deviation

C. Standard deviation

D. Range

6. The mean deviation of the values, 18, 12, 15, is_______________?
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A. 6

B. 3

C. 2

D. Zero

7. Lowest value of variance can be____________?
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A. 0

B. 3

C. -1

D. 1

8. In symmetrical distribution, the co-efficient of skewness is equal to ______________?
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A. None of these

B. 0

C. 1

D. -1

9. The second moment about mean is _____?
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A. S.D.

B. Mode

C. Mean

D. Variance

10. The lack of uniformity is called ______________?
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A. variation

B. Lack

C. Skewness

D. X= 5

11. If y= ax + b the S.D. of y is _______________?
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A. Minimum

B. S.D. of x

C. Mean Deviation of x

D. Maximum

12. Range of 5,5,5,5, is ________________?
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A. None of these

B. 5

C. 0

D. 25

13. The standard deviation is affected by the value of every____________?
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A. Observation

B. Relative Dispersion

C. Items

D. Absolute

14. The frequency distribution mean > Median > Mode is called __________?
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A. +vely

B. Symmetrical

C. One

D. Negatively

15. First moment about origin is always equal to _______________?
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A. variance

B. None of these

C. A.M.

D. Zero
16. If third moment about mean is equal to zero, then distribution is ______________?
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A. positively skewed

B. None of these

C. Negatively skewed

D. Symmetrical
17. The S.D. and variance are ____ of origine?
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A. Multiplied

B. Independent

C. Variance

D. Change

18. Mean deviation =______ S.D?
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A. 5-Jun

B. 3-Feb

C. 4/5

D. 6-May

19. suppose for 40 observation, the variance is 50. If all the observation are increased by 20, the variance of these increased observation will be_________?
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A. 50

B. 70

C. 50-20=30

D. 50/20

20. The shape of the symmetrical distribution is _______?
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A. None of these

B. U- Shaped

C. Bell- Shaped

D. J- Shaped

21. __________ of the distribution which is measured relative to the distribution known as Normal?
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A. Normal

B. Skewed

C. Flatness

D. Moment

22. ________ is the simplest means of dispersion?
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A. Standard deviation

B. C.V.

C. Variation

D. Range
23. If variance iv standard deviation is minimum if the deviation taken from______________?
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A. Mode

B. Mean

C. Average

D. G.M.

24. Standard deviation is always calculated from _____________?
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A. G.M.

B. Mean

C. Mode

D. Median

25. If y = bx + a the mean deviation of y is_____________?
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A. M.D.of x

B. S.D. of x

C. S.D. of y

D. var (x)

26. which is poor measure of dispersion in open-end distribution ________________?
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A. Range

B. None of these

C. Semi-inter quartile range

D. Quartile- deviation

27. Absolute sum of deviations is minimum from _______________?
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A. Mean

B. S.D. of x

C. Normal

D. Coefficient of variance

28. The sum of powers of deviation from mean is zero is called __________?
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A. Normal

B. Lack

C. Mean

D. Skewed

29. The degree to which numerical data tend to spread about an average value is a________________?
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A. Dispersion

B. Range

C. Minimum

D. variance

30. If Y=-8X 5 and SD of X is 3, then SD of Y is______________?
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A. 24

B. 3

C. 8

D. None of these

31. Mean deviation is always ________________?
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A. Negative

B. More than S.D.

C. Less than S.D.

D. Equal to S.D.

32. The value of interval x S include _______________?
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A. 68.27%

B. 99.73%

C. 95.45%

D. 49.45%

33. If all values are same then the measure of dispersion will be?
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A. Median

B. Mode

C. Mean

D. 1

E. 0
34. Second moment about mean is always equal to _____________?
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A. S.D.

B. Square

C. Variance

D. C.V.

35. The A.M. is greater than mode is equal to ______________?
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A. Negatively

B. zero

C. Skewness

D. +vely
36. Check the consistency used _____________?
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A. Coefficient of variance

B. Coefficient of dispersion

C. Q.D.

D. Mean coefficient

37. The measure of relative dispersion is called __________________?
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A. Quartile deviation

B. Coefficient of quartile Deviation

C. Mean coefficient

D. Mean dervation

38. The variance of 4,4,4,4,4,4 is _______________?
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A. (4)2

B. 4

C. None of these

D. 8

39. The sum of the squares of deviations is the least when measured from____________?
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A. Mode

B. G.M.

C. A.M.

D. Median

40. Mean deviation, Variance and Standard Deviation of the values 4,4,4,4,4,4 is_______________?
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A. 2

B. 8

C. 0

D. 4

41. First movement about mean is always equal to ___________?
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A. Zero

B. 1

C. None of these

D. S.D.

42. If y= bx + c the range of y is ________?
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A. Range of x

B. Range of P

C. Zero

D. Quartile of X
43. Quartile deviation is not capable of manipulation______________?
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A. Algebraic

B. Easy

C. Abjectly

D. mathematically

44. In a symmetrical distribution mean, median and mode, _________________?
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A. Less than

B. Greater

C. Coincide

D. Positive

45. The sum of absolute deviations from median is _____?
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A. Zero

B. Positive

C. Least

D. None of these

46. The variance of 5 numbers is 10. If each number is divided by 2, then variance of new number is_____________?
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A. 5

B. 2.5

C. 20

D. 0

47. The correct variance is define as the __________________?
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A. varies of data P2/6

B. M.D. of data h2/6

C. S.D. of data h2/12

D. Variance of data h2/12
48. In grouped data, the range is the difference between ________________?
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A. Two extreme class limits

B. None of these

C. Two extreme class boundaries

D. Two extreme class frequency

49. Variance remains unchanged by change of_____________?
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A. Both

B. Scale

C. None of these

D. Origin