Coefficient of variation of two distributions are 50 and 60 and...

Given, coefficient of variation ${C}_{1} = 50$

and coefficient of variation ${C}_{2} = 60$.

We have, $\overset{¯}{x}1 = 30$ and $\overset{¯}{x}2 = 25$

$∵ C = \sigma\overset{¯}{x} \times 100$

$50 = \dfrac{\sigma1}{30} \times 100$

$⇒ {σ}_{1} = 15$

and $60 = \dfrac{\sigma2}{25} \times 100$

$⇒ {σ}_{2} = 15$

$∴$ Required difference ${σ}_{1} - {σ}_{2} = 15 - 15 = 0$