Page 168 - DCOM203_DMGT204_QUANTITATIVE_TECHNIQUES_I

Unit 7: Measures of Dispersion

9. What do you understand by coefficient of variation? Discuss the relative advantages of Notes
coefficient of variation and standard deviation as a measure of variability.
10. Calculate range and its coefficient from the following data:

(a) 159, 167, 139, 119, 117, 168, 133, 135, 147, 160
Weights lbs( .) : 115 -125 125 -135 135 -145 145 -155 155 -165 165 -175
(b)
Frequency : 4 5 6 3 1 1
11. Find out quartile deviation and its coefficient from the following data:

Class : - 0 4 5 -9 10 -14 15 -19 20 -24 25 -29
Frequency : 15 26 12 5 4 3

12. Find out the range of income of (a) middle 50% of workers, (b) middle 80% of the workers
and hence the coefficients of quartile deviation and percentile deviation from the following
data :
Wages less than : 40 50 60 70 80 90 100
.
No of workers : 5 8 15 20 30 33 35
13. The following data denote the weights of 9 students of certain class. Calculate mean
deviation from median and its coefficient.
S No. . : 1 2 3 4 5 6 7 8 9
Weight : 40 42 45 47 50 51 54 55 57
14. Calculate mean deviation from median for the following data :
Wages per week : 50 -59 60 -69 70 -79 80 -89 90 -99 100 -109 110 -119
.
No of workers : 15 40 50 60 45 90 15
15. Calculate the coefficient of mean deviation from mean and median from the following
data :

Marks : 10 -20 20 -30 30 -40 40 -50 50 -60 60 -70 70 -80 80 -90
No of Students : 2 6 12 18 25 20 10 7
.
16. Calculate mean deviation from mode of the following data:
(a) 7, 4, 6, 4, 4, 5, 2, 4, 1, 7, 7, 6, 2, 3, 4, 2

Size : - 0 10 10 -20 20 -30 30 -40 40 -50 50 -60
(b)
Frequency : 6 20 44 26 3 1
17. Calculate the standard deviation of the following series:
Marks : - 0 10 10 -20 20 -30 30 -40 40 -50
Frequency : 10 8 15 8 4

18. Calculate the standard deviation from the following data:
Age less than in years( ) : 10 20 30 40 50 60 70 80
.
No of Persons : 15 30 53 75 100 110 115 125

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