Question

algebra i b-cr
1 2 3 4 5 6 7 9 10
54:22
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 std dev formula

Standard deviation $\sigma$ is the square root of variance $\sigma^2$, so $\sigma = \sqrt{\sigma^2}$

Step2: Substitute variance value

Substitute $\sigma^2=36$ into the formula:
$\sigma = \sqrt{36}$

Step3: Calculate the square root

$\sigma = 6$

Answer:

B. 6