UPSC NDA Math Model Paper 9

Here, we have to choose the option which will give the coefficient of variation as 30%
Option A: When mean is 30 and standard deviation is 15
As we know, Coefficient of variation =

standard deviaiton

Mean

×100
⇒ Coefficient of variation =

15

30

×100=50%
Hence, option A is not the correct answer.
Option B: When mean is 4 and standard deviation is 16
As we know, Coefficient of variation =

standard deviaiton

Mean

×100
⇒ Coefficient of variation =

16

4

×100=400%
Hence, option B is not the correct answer.
Option C: When mean is 3 and standard deviation is 3
As we know, Coefficient of variation =

standard deviaiton

Mean

×100
⇒ Coefficient of variation =

3

3

×100=100%
Hence, option C is not the correct answer.
Option D: When mean is 10 and standard deviation is 3
As we know, Coefficient of variation =

standard deviaiton

Mean

×100
⇒ Coefficient of variation =

3

10

×100=30%
Hence, option D is the correct answer.