Question

find the standard deviation, \\( \sigma \\), of the data.
147, 141, 120, 124, 128
\\( \overline { x } = 185 \\)
\\( \operatorname { variance } ( \sigma ^ { 2 } ) = 29,934 \\)
\\( \sigma = \\)
round to the nearest tenth.

Explanation:

Step1: Recall the formula for standard deviation

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

Step2: Substitute the value of variance

Given $\sigma^{2} = 29934$. Then $\sigma=\sqrt{29934}$.
Using a calculator, $\sqrt{29934}\approx173.0$.

Answer:

$173.0$