Question

If the coefficient of variation and standard deviation of a distribution are 50% and 20 respectively, the its mean is

• A. 40
• B. 30
• C. 20
• D. None of these

Answer 1

The correct option is A 40

We know if a distribution having mean $\overline{x}$ and standard deviation $\sigma$
then coefficient of variation $=\frac{\sigma }{\overline{x}}\times 100$
$\therefore \frac{20}{\overline{x}}\times 100=50\Rightarrow \overline{x}=40$
Hence required mean is $=40$