Question

. 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.

Answer 1

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