Measures of Dispersion Multiple Choice Questions
1. A study in Statistics that helps to interpret the variability of data is knowns as _________

 Standard Deviation
 The measurer of Central tendency
 The measurer of dispersion
 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?

 Absolute Measure of Dispersion
 Relative Measure of Dispersion
 Coefficient of Dispersion
 None of these
Answer: 2 A relative measure of Dispersion
3. In absolute Measure Of Dispersion, the Square root of variation is known as ________

 Mean Deviation
 Quartile Deviation
 Variance
 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?

 Range
 Mean Deviation
 Standard Deviation
 All of these
Answer: 1 Range
5. What is the Arithmetic average of the Absolute Deviation of a series called?

 Coefficient of Mean Deviation
 Mean Deviation
 Quartile Deviation
 Standard Deviation
Answer: 2 Mean Deviation
6. Are the variations present in the unit of a variable represented by which dispersion method?

 Coefficient of Variation
 A relative measure of dispersion
 The absolute measure of dispersion
 Measure of dispersion
Answer: 3 Absolute Measure of dispersion
7. In Statistics of dispersion, the Measure of dispersion can never be __________

 Positive
 Zero
 Equal to
 Negative
Answer: 4 Negative
8. In the Absolute Measure of dispersion, the Standard Deviation is always________

 Zero
 Negative
 Positive
 None of the above
Answer: 3 Positive
9. On which change the variance of a data set is independent?

 Origin only
 Scale only
 Origin and Scale both
 None of these
Answer: 1 Origin only
10.Name the graphical method which helps us investigate the dispersion?

 Kinked Curve method
 Mean deviation
 Standard deviation
 Lorenz Curve method
Answer: 4 Lorenz Curve method
11. In the dispersion study, the relative measure of dispersion is expressed by using.

 Quartiles
 Percentage
 Numbers
 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.

 136
 146
 120
 130
Answer: 3 120
13. Which is the quickest measure of dispersion to compute?

 Mean deviation
 Range
 Variance
 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.

 Quartile deviation
 Mean deviation
 Standard deviation
 All of these
Answer: 1 Quartile deviation
15. Find the measure of dispersion that can attain a negative value?

 Standard deviation
 Range
 Coefficient of dispersion
 Variance
Answer: 2 Range
16.Which measure of dispersion is appropriate to compare the two different series?

 Coefficient of variation
 Mean deviation
 Variance
 Standard deviation
Answer: 1 Coefficient of Variation
17. Find the Standard deviation of the first 50 Natural numbers.

 10.43
 16.43
 12.43
 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.

 5.42
 2.42
 3.42
 4.42
Answer: 3 3.42
19. Which set of observations has the minimum variation?

 30,40,50,60,70
 56,58,60,62,64
 38,39,40,41,42
 50,60,70,80,90
Answer: 3 38,39,40,41,42
20. Which methods are used to calculate Standard deviation?

 Step deviation method
 Direct method
 Short cut method
 All of these
Answer: 4 All of these
21.In which series of frequency distribution the Range can not be calculated?

 Openended series
 Inclusive series
 Exclusive series
 Unequal class intervals
Answer: 1 Openended series
22. Which one is the most widely used measure of dispersion?

 Mean deviation
 Standard deviation
 Quartile deviation
 Variance
Answer: 2 Standard deviation
23. 45,52 and 65 are the variable quartiles, respectively. Find the quartile deviation of this variable.

 16
 14
 10
 20
Answer: 3 10
24. Which of these is an example of the application of Range in a realworld scenario?

 Quality control
 Weather Forecasts
 Fluctuation in share market
 All of the above
Answer: 4 All of the above
25.The Quartile deviation with Q1=25 and Q3= 75 is________

 50
 15
 25
 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?

 0
 20
 5
 2.5
Answer: 4 2.5
26. When all values remain the same then the measures of dispersion will be______________

 0
 Mode
 Median
 1
Answer: 1 0
27.Find the exact Mean deviation of the values 12,15,and18 is_______

 3
 O
 2
 6
Answer: 3 2
28. Find the variance of the values 3,6,8,9,11,7,10,12 .

 4.25
 7.36
 3.46
 None of these
Answer: 2 7.36
29. What is the shape of the Symmetrical distribution found?

 Bellshaped
 J shaped
 U shaped
 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.

 11.2
 12.3
 9.06
 7.08
Answer: 4 7.08
31.Which measure of dispersion is demonstrated in terms of nits of observation?

 Relative measure
 Range
 Absolute measure
 Variance
Answer: 3 Absolute measure
32. Which deviation is a percentage expression of the Coefficient of variation?

 Quartile deviation
 Standard deviation
 Mean deviation
 All of these
Answer: 2 Standard deviation
33. Which one of the followings is not considered a measure of dispersion?

 Mode
 Range
 Variance
 Mean deviation
Answer: 1 Mode
34. Which one of the followings is the relative measure of dispersion?

 Mean deviation
 Variance
 Range
 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?

 Quartile
 Mean
 Mode
 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

 Sample Variance
 Population Variance
 Sample deviation
 Population deviation
Answer: 2 Population Variance
37.When the Arithmetic mean is multiplied by the Coefficient of variation, what will be the resultant value?

 Variance
 Coefficient of deviation
 Coefficient of Mean
 Standard deviation
Answer: 4 Standard deviation
38.Which measure of dispersion ignores the signs of deviations?

 Mean deviation
 Range
 Variance
 Quartile deviation
Answer: 1 Mean deviation
39.What is the frequency when it is less than the first quartile?

 3N/4
 N/2
 N/4
 All of these
Answer: 3 N/4
40. The second quartile, which is denoted by 2, is also known as __________

 Mode
 Range
 Variance
 Median
Answer: 4 Median
41. P50 is denoted as ___________ the value

 Median
 Range
 Mode
 None f these
Answer: 1 Median
42. What is indicated by the scatter within a distribution if it is high on each side?

 Low uniformity of data
 High uniformity of data
 Outliers of data
 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.

 Measures of dispersion
 Mode
 Measures of Central tendency
 Variance
Answer: 3 Measures of Central tendency
44. What is the sum of absolute deviations if it is calculated from the Median?

 Least
 Negative
 Positive
 0
Answer: 1 Least
45. What are the means of dispersion which is the most simple?

 Range
 CV
 Variation
 Standard Deviation
Answer: 1 Range
46. When the moderately symmetrical distribution mean deviation is 12, find the exact value of the Standard deviation.

 24
 12
 15
 None of these
Answer: 3 15
47. The scatteredness in a data set is statistically called________

 Range
 Variance
 Discriminant
 Dispersion
Answer: 4 dispersion
48. Which of the following can be the lowest value of variance?

 1
 0
 3
 1
Answer: 2 0