Question

find the standard deviation of the given data.
now, solve for the standard deviation, or the square root of the variance.
5, 6, 8, 13
variance ($\sigma^{2}$) = 9.5
standard deviation ($\sigma$) = ?

Explanation:

Step1: Recall the formula for standard deviation

The standard deviation $\sigma$ is the square root of the variance $\sigma^{2}$. So, $\sigma=\sqrt{\sigma^{2}}$.

Step2: Substitute the given variance value

Given $\sigma^{2} = 9.5$, then $\sigma=\sqrt{9.5}$.
Using a calculator, $\sqrt{9.5}\approx3.1$.

Answer:

$3.1$