Central Tendency & DispersionPYQ Nov. 19Question 3124 of 473

Coefficient of variation is equal to:

Options

\displaystyle \frac{\text{SD}}{\text{Mean}}

\displaystyle \frac{\text{SD}}{\text{Mean}} \times 100

\displaystyle \frac{\text{Mean}}{\text{SD}} \times 100

\displaystyle \frac{\text{Mean}}{\text{SD}}

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Correct Answer

✅ Option b — $\displaystyle \frac{\text{SD}}{\text{Mean}} \times 100$

All Options:

A $\displaystyle \frac{\text{SD}}{\text{Mean}}$
B $\displaystyle \frac{\text{SD}}{\text{Mean}} \times 100$
C $\displaystyle \frac{\text{Mean}}{\text{SD}} \times 100$
D $\displaystyle \frac{\text{Mean}}{\text{SD}}$

Detailed Solution & Explanation

The coefficient of variation (C.V.) is a relative measure of dispersion that expresses the standard deviation as a percentage of the arithmetic mean. The formula is given by:

\text{Coefficient of Variation} = \frac{\text{Standard Deviation}}{\text{Arithmetic Mean}} \times 100

Hence, **Option B** is the correct answer.

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