find the standard deviation, $sigma$, of the data. 147, 141, 120, 124, 128 $\bar{x}=132$ variance($sigma^{2}$…

find the standard deviation, $sigma$, of the data. 147, 141, 120, 124, 128 $\bar{x}=132$ variance($sigma^{2}$)=106 $sigma = ?$ round to the nearest tenth.

find the standard deviation, $sigma$, of the data. 147, 141, 120, 124, 128 $\bar{x}=132$ variance($sigma^{2}$)=106 $sigma = ?$ round to the nearest tenth.

Answer

Explanation:

Step1: Recall standard - deviation formula

The standard deviation $\sigma$ is the square - root of the variance $\sigma^{2}$. That is, $\sigma=\sqrt{\sigma^{2}}$.

Step2: Substitute the given variance value

Given $\sigma^{2}=106$, then $\sigma = \sqrt{106}$.

Step3: Calculate and round

$\sqrt{106}\approx10.3$.

Answer:

$10.3$