Question

If the mean of few observations is $40$ and standard deviation is $8$, then what is the coefficient of variation?

• A. $1$%
• B. $10$%
• C. $20$%
• D. $30$%

Answer 1

The correct option is C $20$%

Coefficient of variation(CV) is the ratio of standard deviation($\sigma$) to the mean($\mu$).

Given that, standard deviation($\sigma$) $=8$ and

mean($\mu$) $=40$

$CV=\frac{\sigma }{\mu }\times 100$

$⟹CV=\frac{8}{40}\times 100=20\%$