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)

$40$

Answer 2

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 $=40$