Question

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.

What is the mean of $\Sigma X$?

Short answer

The mean of$\Sigma X=300$.

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.

Explanation

The mean of the unknown distribution $\left({\mu }_X\right)$is $12$and the standard deviation $\left(n\right)$is for the sample size of $25$objects of interest.

We calculate the mean $\left(\mu \right)$of $\sum X$as

localid="1648892796831" $$\begin{gathered} \mu =\left(n\right)\left({\mu }_x\right) \\ =25\times 12 \\ =300 \end{gathered}$$