Question

The relation between variance and standard deviation is ________.

• A. variance is the square root of standard Deviation
• B. square of the standard deviation is equal to Variance
• C. variance is equal to standard deviation
• D. standard deviation is the square of the variance

Answer 1

The correct option is B square of the standard deviation is equal to Variance

Standard deviation is the square root of the arithmetic mean of the squares of the deviations measured from the arithmetic mean of the data.

Variance is the mean of the squares of the deviations from the mean.

Standard deviation is the square root of variance or variance is the square of standard deviation.

S.D = {Var(X)}^1/2

or

Var(X) = (S.D)²