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 ( r^{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 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 value

Given \( \sigma^{2} = 36\), then \( \sigma=\sqrt{36}\).

Step3: Calculate the square - root

Since \(6\times6 = 36\), \( \sqrt{36}=6\).

Answer:

6