2. Write a MATLAB program that calculates the arithmetic mean, the geometric mea

Question

2. Write a MATLAB program that calculates the arithmetic mean, the geometric mean, and the root-mean-square average for a given set of values. Your program must use 3 functions to calculate the 3 required means. The output should be formatted as follows:

Your name Statistical Package arithmetic mean = x.xxxxx geometric mean = x.xxxxx RMS average = x.xxxxx

Test your program on the following values: 1.1, 3.3, 3.00, 2.22, 2.00, 2.72, 4.00, 4.62 and 5.37. Your main program calls 3 functions.

The data should be read by the main program from a text file, stored in an array and then passed to the functions.

The results and any other output should be printed by the main program. Notice how the output results are aligned. Also notice that the results are printed accurate to 5 decimal places.

DO NOT USE MATLAB BUILT-IN FUNCTIONS.

I am stumped on this problem as I am not to good with creating functions in matlab

Explanation / Answer

I am going to give you 4 files, three functions and one script. Create 4 new scripts in matlab and save them as given. Then run the "Mean.m" script.

Mean.m

fid = fopen('input.txt');
Array = fscanf(fid, '%g');
Amean = AM(Array);
Gmean = GM(Array);
Rmean = RMS(Array);

display('Amlan Das Statistical Package')
display(['arithmetic mean = ', sprintf('%.5f',Amean)]);
disp(['geometric mean = ', sprintf('%.5f',Gmean)]);
disp(['RMS average = ', sprintf('%.5f',Rmean)]);

AM.m

function [ AMean ] = AM( Array )
n = length(Array);
AMean = 0;
for i = 1:n
AMean = AMean + Array(i);
end
AMean = AMean/n;

end

GM.m

function [ GMean ] = GM(Array)

n = length(Array);
GMean = 1;
for i = 1:n
GMean = GMean*Array(i);
end
GMean = GMean^(1/n);
end

RMS.m

function [ RMean ] = RMS( Array)
n = length(Array);
RMean = 0;
for i = 1:n
RMean = RMean + Array(i)^2;
end
RMean = (RMean/n)^(0.5);

end

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