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 formula that relates variance \(\sigma^{2}\) and standard deviation \(\sigma\) is \(\sigma=\sqrt{\sigma^{2}}\).

Step2: Substitute the given variance value

Given \(\sigma^{2} = 36\), then \(\sigma=\sqrt{36}\).
Since \(\sqrt{36}=6\) (because \(6\times6 = 36\)).

Answer:

B. \(6\)