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//Caption: Arithmetic Mean of grouped Data
//Example 3.2
//Page 40
clear;
clc;
x = input('Mothly Salary Range =');
f = input('Number of Employees =');
[m,n]=size(x);
for i = 1:m
x_mid(i) = sum(x(i,:))/2;
fx(i) = f(i)*x_mid(i);
end
n = sum(f);//total number of employeess
sigma_fx = sum(fx); //
X = sigma_fx/n;
f = f';
disp('________________________________________________________')
disp(x,'x=')
disp(x_mid,'Mid-point of class interval xi = ')
disp(f,'Frequency =')
disp(fx,'fi x x mid value=')
disp('________________________________________________________')
disp(n,'Total number of employees n =')
disp(X,'Arithmetic Mean of monthly salaries X =')
//Result
//Mothly Salary Range =[8000,12000;12000,16000;16000,20000;20000,24000;24000,28000;28000,32000;32000,36000;36000,40000]
//Number of Employees = [400,350,325,250,200,150,75,25]
//
// ________________________________________________________
//
// x=
//
// 8000. 12000.
// 12000. 16000.
// 16000. 20000.
// 20000. 24000.
// 24000. 28000.
// 28000. 32000.
// 32000. 36000.
// 36000. 40000.
//
// Mid-point of class interval xi =
//
// 10000.
// 14000.
// 18000.
// 22000.
// 26000.
// 30000.
// 34000.
// 38000.
//
// Frequency =
//
// 400.
// 350.
// 325.
// 250.
// 200.
// 150.
// 75.
// 25.
//
// fi x x mid value=
//
// 4000000.
// 4900000.
// 5850000.
// 5500000.
// 5200000.
// 4500000.
// 2550000.
// 950000.
//
// ________________________________________________________
//
// Total number of employees n =
//
// 1775.
//
// Arithmetic Mean of monthly salaries X =
//
// 18845.07
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