Problem 1

Define a function in a file named stat.m in the MATLAB editor that returns the mean and standard deviation of an input vector.

Given: The function length() finds the maximum number of elements in an array

The function sum() sums up each element in an array

% Program Stat.m

values = [12.7, 45.4, 98.9, 26.6, 53.1]; [average,stdeviation] = stat(values)

% This is placed at the end of your MATLAB program % The function is called stat(x), it has one variable input 'x' and two outputs [m,s]

% This function calculates statistics functions of average and standard deviation function [m,s] = stat(x) n = length(x); m = sum(x)/n; s = sqrt(sum((x-m).^2/n)); end

1. Run this program and find the values for the average and standard deviation

2. Create a new vector of values = [9.9, 15.5, 29.2, 39.3, 45.5, 64.3, 87.1, 55.5] and use this new vector in your above program to calculate average and standard deviation

Problem 2. Create a small program called stat2.m that will have these two functions in at the end of the program. Verify that they produce the same result with:

values = [12.7, 45.4, 98.9, 26.6, 53.1];

values = [9.9, 15.5, 29.2, 39.3, 45.5, 64.3, 87.1, 55.5]

What is similar, and what is different about stat.m and stat2.m in what they actually do?

% Program Stat2.m

values = [12.7, 45.4, 98.9, 26.6, 53.1]; [average,stdeviation] = stat2(values)

function [m,s] = stat2(x)

n = length(x);

m = avg(x,n);

s = sqrt(sum((x-m).^2/n));

end

function m = avg(x,n)

m = sum(x)/n;

end

Print your results