Question

bryant collects a set of 20 values that represent the lengths of worms he found in the garden. the variance of the set of values ( sigma^{2} ) is 36.
what is the standard deviation from the mean? round the answer to the nearest tenth if necessary.
4.5
6
14
15.5

Explanation:

Step1: Recall the relationship between variance and 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 $\sigma^{2} = 36$, then $\sigma=\sqrt{36}$.
Since $\sqrt{36}=6$.

Answer:

6