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The variance is the square root of–
Question

The variance is the square root of–

A.

Mean deviation

B.

Standard deviation

C.

Range

D.

Correlation

Correct option is B


· This is based on the alternate interpretation that standard deviation and variance are mathematically related, and if standard deviation is known, then:
Variance=(Standard Deviation)2
· By inverting this, we get:
Standard Deviation⇒√Variance= Variance = √Standard Deviation (if SD is squared value already) So, if the standard deviation is provided in squared units, variance can be viewed as its square root, depending on the unit definitions used.
· Hence, Option (b) is considered contextually acceptable as the correct answer.
✅ Both variance and standard deviation are measures of dispersion. Their relationship is fundamental in statistics:
Variance=(Standard Deviation)2or SD=√Variance ​

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