Question

what is the relationship between the variance and the standard deviation for a sample data set? the standard deviation is the square of the variance. the standard deviation is equal to half the variance. the standard deviation is the square root of the variance. the standard deviation is equal to two times the variance. resources read it

Explanation:

The standard deviation ($\sigma$) of a sample data - set is defined as the square - root of the variance ($\sigma^{2}$). That is, if $s^{2}$ is the sample variance, then the sample standard deviation $s=\sqrt{s^{2}}$.

Answer:

The standard deviation is the square root of the variance.