51.
Variance is defined as
Exam Year(s)
Tripura Public Service Commission - 2026,
Answer: B
Variance is the square of standard deviation.
Variance is the mean of the squared deviations of the observations from their mean:
\[ \sigma^{2} = \frac{1}{n}\sum (x_{i} - \bar{x})^{2} \]
The standard deviation σ is its square root, so the variance is σ2. The mean of observations is the average itself, the square root of the mean has no statistical role, and the mean deviation averages the absolute deviations, not their squares.
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