Central Tendency & DispersionPYQ Nov 18Question 3118 of 473

If the standard deviation for the marks obtained by a student in monthly test is $\displaystyle 36$ , then variance is

Options

A

\displaystyle 6

B

\displaystyle 36

C

\displaystyle 1296

DNone of these

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Correct Answer

✅ Option c — $\displaystyle 1296$

All Options:

A $\displaystyle 6$
B $\displaystyle 36$
C $\displaystyle 1296$
DNone of these

Detailed Solution & Explanation

By definition, the variance of a dataset is the square of its standard deviation. Mathematically:

\text{Variance} = \sigma^2

We are given the standard deviation is

\displaystyle \sigma = 36

. Therefore, the variance is:

\text{Variance} = 36^2 = 1296

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

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