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the variance of a distribution is 195. what is the standard deviation, …

Question

the variance of a distribution is 195. what is the standard deviation, rounded to the nearest thousandth?

Explanation:

Step1: Recall the formula

The standard deviation $\sigma$ is the square - root of the variance $\sigma^{2}$. Given $\sigma^{2}=195$, we have $\sigma=\sqrt{\sigma^{2}}$.

Step2: Calculate the value

$\sigma = \sqrt{195}\approx13.964$

Answer:

$13.964$