Question

The mean and standard deviation of a set of values are $5$ and $2$ respectively. If $5$ is added to each value, then what is the coefficient of variation for the new set of values?

• A. $10$
• B. $20$
• C. $40$
• D. $70$

Answer 1

Answer: (B)

$20$

New mean $=\mu 5+5=10$ as $5$ is added to all values and hence, mean also changes with the same amount.

New $\sigma$ = Old $\sigma =2$ as $5$ is added to all avlues and hence, $\sigma$ does not change.

Coefficient of variation $=\frac{\sigma }{\mu }\times 100=\frac{2}{10}\times 100=20$