Question

A group of $100$ candidates attending a physical test for recruitment have their average height as $163.8cm$ with coefficient of variation $3.2$. What is the standard deviation of their heights?

Answer 1

Average height of $100$ candidates $=163.8cm=\mu$

$CV=3.2$

$CV=\left(\frac{\sigma }{\mu }\right)\times 100$

$3.2=\frac{\sigma }{163.8}\times 100$

$\sigma =\frac{163.8\times 3.2}{100}=5.242$