Question

If coefficient of variation is $60$ and standard deviation is $24$, then Arithmetic mean is

• A. $40$
• B. $\frac{7}{20}$
• C. $\frac{20}{7}$
• D. $\frac{1}{40}$

Answer 1

Answer: (A)

We have,
$C\cdot V=60,\sigma =64$
We know that
$C\cdot V=\frac{\sigma }{\bar{x}}\times 100$
$\Rightarrow 60=\frac{24}{\bar{x}}\times 100$
$\Rightarrow \bar{x}=\frac{24\times 100}{60}$
$\Rightarrow \bar{x}=40$
$\therefore$ Arithmetic means $=40$