Before you write the MATLAB code for this question, create an algorithm.

A common statistical quantity is the standard deviation, which is a measure of how much variation there is in a data set. It

can be found by:

$\sqrt[\phantom{2}]{\frac{{\displaystyle \underset{i=1}{\overset{n}{}}}(x_i-(\stackrel{}{x}){)}^2}{n-1}}$

where $n$ is the number of data points, $x_i$ are the individual data points, and $\stackrel{}{x}$ is the average of the data.

Complete the code below, following the comments procided. It will do the following:

Compute the average of the numbers in the provided $6-$element vector, without using any built$-$in functions.

Compute the standard deviation of those numbers, without using any built$-$in functions.

Remember that in order for MATLAB Grader to check your work, you need to use the variable names introduced in the

script as described in the comments.

You will need to introduce some other variables along the way $($e$.$g$.,$ counters and maybe a few others$).$