Question

A group of $100$ candidates have their average height $163.8$cm with coefficient of variation $3.2$. What is the standard deviation of their heights?

• A. $5.24$.
• B. $2.24$.
• C. $7.24$.
• D. None of these

Answer 1

Answer: (A)

$5.24$.

$\Rightarrow$ Mean of height of $100$ candidates$\left(\overline{x}\right)=163.8$

$\Rightarrow$ Coefficient of variation $(C.V)=3.2$

$\frac{\sigma }{\overline{x}}\times 100=3.2$

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

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

$\sigma =5.24$