Central Tendency & DispersionPYQ Nov. 19Question 3126 of 473

If mean $\displaystyle = 200$ and variance $\displaystyle = 80$ . Find coefficient of variation.

Options

A

\displaystyle 2.56

B

\displaystyle 4.47

C

\displaystyle 32

D

\displaystyle 0.32

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Correct Answer

✅ Option b — $\displaystyle 4.47$

All Options:

A $\displaystyle 2.56$
B $\displaystyle 4.47$
C $\displaystyle 32$
D $\displaystyle 0.32$

Detailed Solution & Explanation

We are given: - Mean =

\displaystyle 200

- Variance =

\displaystyle 80 \implies \text{Standard Deviation } (\sigma) = \sqrt{80} \approx 8.94

The coefficient of variation (C.V.) is calculated as:

C.V. = \frac{\sigma}{\text{Mean}} \times 100 = \frac{8.94}{200} \times 100 = 4.47\%

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

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