Understanding Variance and Standard Deviation

The question provides the variance of a set of 5 values and asks for the standard deviation.

Calculating Standard Deviation

The standard deviation is defined as the square root of the variance.

The formula relating standard deviation ($\sigma$) and variance ($\sigma^2$) is:

$\sigma = \sqrt{\sigma^2}$

Applying the Formula

Given Variance ($\sigma^2$) = 0.64

Calculate the Standard Deviation ($\sigma$):

1. Substitute the given variance value into the formula: $\sigma = \sqrt{0.64}$
2. Calculate the square root: $\sigma = 0.8$

Therefore, the standard deviation is 0.8.