Coefficient of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is

Given Coefficient of variation of two distributions are

CV₁=50 and CV₂=60

And there arithmetic means are

We know Coefficient of variation can be written as

Now for first distribution, we have

Substituting corresponding values, we get

⇒ σ₁=15………(i)

Now for second distribution, we have

Substituting corresponding values, we get

⇒ σ₂=15………(ii)

So from equation (i) and (ii), the difference of their standard deviation is 0.