All problems must be solved using MATLAB.

MATLAB script file with clear commentary for each line of code. Your script should

Load the data in the problem as a text file.

Calculate the statistics using MATLAB functions.

Solicit input from the user of the reading $($for example, $137$ degrees as stated in the problem$).$ In other words, the reading should not be fixed in the script and has to be entered and saved from the command window input.

Output the values of the statistics and the conclusion.

Take a screenshot of the MATLAB command window after executing the script file above.

$5$

A set of $25$ measurement have the following values:

$9\mathrm{.}4,10\mathrm{.}1,9\mathrm{.}1,12\mathrm{.}3,10\mathrm{.}3,10\mathrm{.}0,10\mathrm{.}5,9\mathrm{.}0,10\mathrm{.}8,10\mathrm{.}0,11\mathrm{.}1,9\mathrm{.}8,7\mathrm{.}6,9\mathrm{.}2,10\mathrm{.}7,8\mathrm{.}4,11\mathrm{.}0,9\mathrm{.}7,11\mathrm{.}3,8\mathrm{.}7,9\mathrm{.}9,11\mathrm{.}5,10\mathrm{.}0,9\mathrm{.}5,11\mathrm{.}9$

The mean value and standard deviation of these measurements are xmean $=10\mathrm{.}072$ and standard deviation $(\backslash$sigma $)=1\mathrm{.}1108.$

By applying error function tables to the mean and standard deviation values given, estimate:

$($a$)$

How many measurements are less than $11\mathrm{.}05$

$($b$)$

How many measurements are greater than $9\mathrm{.}55$

$($c$)$

How many measurements are between $9\mathrm{.}95$ and $10\mathrm{.}95$

Check your answers against the real data.