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.
options:
4.5
6
14
15.5

Explanation:

Step1: Recall the formula for 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

We know that the variance $\sigma^2 = 36$. So we calculate the square root of 36.
$\sigma = \sqrt{36}$

Step3: Calculate the square root

$\sqrt{36} = 6$

Answer:

6