Question

In a series of observations, coefficient of variation is $16$ and mean is $25$, find the variance

• A. $4$
• B. $8$
• C. $12$
• D. $16$

Answer 1

Answer: (D)

$16$

The coefficient of variation ($C_v$) is defined as the ratio of the standard deviation $\sigma$ to the mean $\mu$
$C_v=\frac{\sigma }{\mu }\times 100$
$16=\frac{\sigma }{25}\times 100$
$\sigma =4$
Variance = ${\sigma }^2=4^2=16$