Question

What is the standard deviation of $\Sigma X$?

Short answer

The standard deviation of$\Sigma X=5$.

Step-by-step solution

Given Information

An unknown distribution has a mean $12$and a standard deviation of one. A sample size of $25$ is taken. Let $X$ = the object of interest.

Explanation

The standard deviation is the dimensions of the portion of interpretation or disbandment of a cluster of matters.

The standard deviation of $\Sigma X$is :

$=\left(\sqrt{n}\right)\left({\sigma }_x\right)$

$\sqrt{25}\times 1$

$=5$