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.

\bigcirc\\ 4.5
\bigcirc\\ 6
\bigcirc\\ 14
\bigcirc\\ 15.5

Explanation:

Step1: Recall the relationship between variance and standard deviation

The standard deviation ($\sigma$) is the square root of the variance ($\sigma^2$). The formula is $\sigma = \sqrt{\sigma^2}$.

Step2: Substitute the given variance into the formula

We know that $\sigma^2 = 36$. So we calculate $\sigma = \sqrt{36}$.

Step3: Calculate the square root

$\sqrt{36}=6$.

Answer:

B. 6