UPSC NDA Math Model Paper 1

Given: For a data set the mean and coefficient of variation are 25.6 and 18.75 respectively
Here, we have to find the standard deviation for the same observations.
Let the standard deviation be x
As we know, Coefficient of variation =

standard deviaiton

Mean

×100
⇒ Coefficient of variation =

x

25.6

×100=18.75
⇒x=

18.75×25.6

100

⇒x=4.8
Hence, option A is the correct answer.