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Coefficient of Variation

If the standa...

Question

If the standard deviation of $5, 7, 9$ and $11$ is $2$ , then the coefficient of variation is?

A

15

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B

25

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C

17

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D

19

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Solution

The correct option is D $25$
Coefficient of variation
$= \frac{s t a n d a r d d e v i a t i o n}{a r i t h m e t i c m e a n} \times 100$
But arithmetic mean of the given numbers
$\frac{5 + 7 + 9 + 11}{4} = 8$
$∴$ Coefficient of variation $=$ $\frac{2 \times 100}{8} = 25$

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