For a distribution the mean is 30. The standard deviation is 2, then coefficient of variation is
(A) 6.67%
(B) 9.45%
(C) 7.5%
(D) 2.5%

Question

Accepted Answer

> [!TLDR]
> $CV=\dfrac{\sigma}{\bar{x}}	imes100=\dfrac{2}{30}	imes100=6.67\%$.

### Step 1 — Formula for coefficient of variation
> [!FORMULA]
> $$CV = \dfrac{\sigma}{\bar{x}}	imes 100\%$$

### Step 2 — Substitute the given values
With standard deviation $\sigma=2$ and mean $\bar{x}=30$:
$$CV = \dfrac{2}{30}	imes100 = \dfrac{200}{30} = 6.67\%.$$

**Why the other options are wrong:** $7.5\%$ (C) comes from $	frac{30}{2}$ or a mis-division; $2.5\%$ (D) forgets to divide by the mean correctly; $9.45\%$ (B) does not follow from the data. …

Coefficient of Variation

Coefficient of Variation

Step 1 — Formula for coefficient of variation

Step 2 — Substitute the given values

Step 1 — Formula for coefficient of variation

Step 2 — Substitute the given values

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