Question

For a given distribution with mean $\overline{x}$ and S.D. $\sigma$, the coefficient of variance is

• A. $\frac{\overline{x}}{\sigma }$
• B. $\frac{\sigma }{\overline{x}}$
• C. $\frac{\overline{x}}{\sigma }\times 100$
• D. $\frac{\sigma }{\overline{x}}\times 100$

Answer 1

Answer: (D)

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

$\Rightarrow$ The coefficient of variation (CV) is a measure of relative variability. It is the ratio of the standard deviation to the mean (average).

We know, mean is represented as $\overline{x}$

Standard deviation represented as $\sigma$

$\therefore$ Coefficient of variation (C.V) $=\frac{\sigma }{\overline{x}}\times 100$