bryant collects a set of 20 values that represent the lengths of worms he found in the garden. the variance…

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.\nwhat is the standard deviation from the mean? round the answer to the nearest tenth if necessary.\n4.5\n6\n14\n15.5

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.\nwhat is the standard deviation from the mean? round the answer to the nearest tenth if necessary.\n4.5\n6\n14\n15.5

Answer

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 that $\sigma^{2} = 36$, then $\sigma=\sqrt{36}$.

Step3: Calculate the square root

Since $\sqrt{36}=6$.

Answer:

B. 6