Category: Measures of Dispersion Objective Questions

300+ TOP Measures of Dispersion MCQs and Answers Quiz Exam

Measures of Dispersion Multiple Choice Questions

1. A study in Statistics that helps to interpret the variability of data is knowns as _________

    1. Standard Deviation
    2. The measurer of Central tendency
    3. The measurer of dispersion
    4. None of the above

Answer: 3 Measure of Dispersion

2. Which Measures of Dispersion are used to compare the distribution of two or more data sets?

    1. Absolute Measure of Dispersion
    2. Relative Measure of Dispersion
    3. Coefficient of Dispersion
    4. None of these

Answer: 2 A relative measure of Dispersion

3. In absolute Measure Of Dispersion, the Square root of variation is known as ________

    1. Mean Deviation
    2. Quartile Deviation
    3. Variance
    4. Standard Deviation

Answer: 4 Standard Deviation

4.Which of these is simply the difference between the maximum and minimum values given in a data set? 

    1. Range
    2. Mean Deviation
    3. Standard Deviation
    4. All of these

Answer: 1 Range

5. What is the Arithmetic average of the Absolute Deviation of a series called?

    1. Coefficient of Mean Deviation
    2. Mean Deviation
    3. Quartile Deviation
    4. Standard Deviation

Answer: 2 Mean Deviation

6. Are the variations present in the unit of a variable represented by which dispersion method?

    1. Coefficient of Variation
    2. A relative measure of dispersion
    3. The absolute measure of dispersion
    4. Measure of dispersion

Answer: 3 Absolute Measure of dispersion

7. In Statistics of dispersion, the Measure of dispersion can never be __________

    1. Positive
    2. Zero
    3. Equal to
    4. Negative

Answer: 4 Negative

8. In the Absolute Measure of dispersion, the Standard Deviation is always________

    1. Zero
    2. Negative
    3. Positive
    4. None of the above

Answer: 3 Positive

9. On which change the variance of a data set is independent?

    1. Origin only
    2. Scale only
    3. Origin and Scale both
    4. None of these

Answer: 1 Origin only

10.Name the graphical method which helps us investigate the dispersion? 

    1. Kinked Curve method
    2. Mean deviation
    3. Standard deviation
    4. Lorenz Curve method

Answer: 4 Lorenz Curve method

11. In the dispersion study, the relative measure of dispersion is expressed by using.

    1. Quartiles
    2. Percentage
    3. Numbers
    4. Same unit

Answer: 2 Percentage

12. Find the value of the third quartile when the first quartile is 104 and the quartile deviation is 8.

    1. 136
    2. 146
    3. 120
    4. 130

Answer: 3 120

13. Which is the quickest measure of dispersion to compute?

    1. Mean deviation
    2. Range
    3. Variance
    4. Coefficient of Range

Answer: 2 Range

14. The central fifty per cent of the observations in a data set are only based on the_________ Measure of dispersion.

    1. Quartile deviation
    2. Mean deviation
    3. Standard deviation
    4. All of these

Answer: 1 Quartile deviation

15. Find the measure of dispersion that can attain a negative value?

    1. Standard deviation
    2. Range
    3. Coefficient of dispersion
    4. Variance

Answer: 2 Range

16.Which measure of dispersion is appropriate to compare the two different series?

    1. Coefficient of variation
    2. Mean deviation
    3. Variance
    4. Standard deviation

Answer: 1 Coefficient of Variation

17. Find the Standard deviation of the first 50 Natural numbers.

    1. 10.43
    2. 16.43
    3. 12.43
    4. 14.43

Answer: 4 14.43

18. Find the result of the standard deviation result of the following sample data 8,4,6,2,12, and 10.

    1. 5.42
    2. 2.42
    3. 3.42
    4. 4.42

Answer: 3 3.42

19. Which set of observations has the minimum variation?

    1. 30,40,50,60,70
    2. 56,58,60,62,64
    3. 38,39,40,41,42
    4. 50,60,70,80,90

Answer: 3 38,39,40,41,42

20. Which methods are used to calculate Standard deviation?

    1. Step deviation method
    2. Direct method
    3. Short cut method
    4. All of these

Answer: 4 All of these

21.In which series of frequency distribution the Range can not be calculated?

    1. Open-ended series
    2. Inclusive series
    3. Exclusive series
    4. Unequal class intervals

Answer: 1 Open-ended series

22. Which one is the most widely used measure of dispersion?

    1. Mean deviation
    2. Standard deviation
    3. Quartile deviation
    4. Variance

Answer: 2 Standard deviation

23. 45,52 and 65 are the variable quartiles, respectively. Find the quartile deviation of this variable.

    1. 16
    2. 14
    3. 10
    4. 20

Answer: 3 10

24. Which of these is an example of the application of Range in a real-world scenario?

    1. Quality control
    2. Weather Forecasts
    3. Fluctuation in share market
    4. All of the above

Answer: 4 All of the above

25.The Quartile deviation with Q1=25 and Q3= 75 is________

    1. 50
    2. 15
    3. 25
    4. 20

Answer: 3 25

25.There is a set of 5 numbers with variance = 10. If each number is divided by 2, what is the new variance?

    1. 0
    2. 20
    3. 5
    4. 2.5

Answer: 4 2.5

26. When all values remain the same then the measures of dispersion will be______________

    1. 0
    2. Mode
    3. Median
    4. 1

Answer: 1 0

27.Find the exact Mean deviation of the values 12,15,and18 is_______

    1. 3
    2. O
    3. 2
    4. 6

Answer: 3 2

28. Find the variance of the values 3,6,8,9,11,7,10,12 .

    1. 4.25
    2. 7.36
    3. 3.46
    4. None of these

Answer: 2 7.36

29. What is the shape of the Symmetrical distribution found?

    1. Bell-shaped
    2. J shaped
    3. U shaped
    4. None of the above

Answer: 1 bell shaped

30. Find the value of Quartile deviation when the Mean Absolute deviation of a set of observations is 8.5.

    1. 11.2
    2. 12.3
    3. 9.06
    4. 7.08

Answer: 4 7.08

31.Which measure of dispersion is demonstrated in terms of nits of observation?

    1. Relative measure
    2. Range
    3. Absolute measure
    4. Variance

Answer: 3 Absolute measure

32. Which deviation is a percentage expression of the Coefficient of variation?

    1. Quartile deviation
    2. Standard deviation
    3. Mean deviation
    4. All of these

Answer: 2 Standard deviation

33. Which one of the followings is not considered a measure of dispersion?

    1. Mode
    2. Range
    3. Variance
    4. Mean deviation

Answer: 1 Mode

34. Which one of the followings is the relative measure of dispersion?

    1. Mean deviation
    2. Variance
    3. Range
    4. Coefficient of Standard deviation

Answer: 4 Coefficient of Standard deviation

35. From which value of the series the deviations are taken to calculate the Standard deviation?

    1. Quartile
    2. Mean
    3. Mode
    4. Median

Answer: 1 Mean

36. If the sum of all the squared deviations is divided by the total number of observations that are used to calculate

    1. Sample Variance
    2. Population Variance
    3. Sample deviation
    4. Population deviation

Answer: 2 Population Variance

37.When the Arithmetic mean is multiplied by the Coefficient of variation, what will be the resultant value?

    1. Variance
    2. Coefficient of deviation
    3. Coefficient of Mean
    4. Standard deviation

Answer: 4 Standard deviation

38.Which measure of dispersion ignores the signs of deviations?

    1. Mean deviation
    2. Range
    3. Variance
    4. Quartile deviation

Answer: 1 Mean deviation

39.What is the frequency when it is less than the first quartile?

    1. 3N/4
    2. N/2
    3. N/4
    4. All of these

Answer: 3 N/4

40. The second quartile, which is denoted by 2, is also known as __________

    1. Mode
    2. Range
    3. Variance
    4. Median

Answer: 4 Median

41. P50 is denoted as ___________ the value 

    1. Median
    2. Range
    3. Mode
    4. None f these

Answer: 1 Median

42. What is indicated by the scatter within a distribution if it is high on each side? 

    1. Low uniformity of data
    2. High uniformity of data
    3. Outliers of data
    4. All of the above

Answer: 3 Outliers of data

43. State the measure used to the extent of variation and determine the degree in a data set.

    1. Measures of dispersion
    2. Mode
    3. Measures of Central tendency
    4. Variance

Answer: 3 Measures of Central tendency

44. What is the sum of absolute deviations if it is calculated from the Median?

    1. Least
    2. Negative
    3. Positive
    4. 0

Answer: 1 Least

45. What are the means of dispersion which is the most simple?

    1. Range
    2. CV
    3. Variation
    4. Standard Deviation

Answer: 1 Range

46. When the moderately symmetrical distribution mean deviation is 12, find the exact value of the Standard deviation.

    1. 24
    2. 12
    3. 15
    4. None of these

Answer: 3 15

47. The scatteredness in a data set is statistically called________

    1. Range
    2. Variance
    3. Discriminant
    4. Dispersion

Answer: 4 dispersion

48. Which of the following can be the lowest value of variance?

    1. 1
    2. 0
    3. 3
    4. -1

Answer: 2 0

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