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//Caption: Quartile Deviation
//Example3.14
//Page53
clear;
clc;
X = [0,10;10,20;20,30;30,40;40,50;50,60;60,70;70,80;80,90;90,100];
f = [5,8,10,15,20,10,7,4,3,6];
cum_f = 0;
for i = 1:length(f)
cum_f = cum_f+f(i);
sigmaf(i) = cum_f;
end
N = cum_f; //total number of salesman
cen1 = N/4;
cen2 = 3*N/4;
for i = 1:length(f)
if ((sigmaf(i)< cen1) &(cen1< sigmaf(i+1))) then
L1 = X(i+1,1);
f1 = f(i+1);
F1 = sigmaf(i)
C = diff(X(i+1,:));
end
if ((sigmaf(i)< cen2) &(cen2< sigmaf(i+1))) then
L3 = X(i+1,1);
f3 = f(i+1);
F3 = sigmaf(i)
C = diff(X(i+1,:));
end
end
disp(L1,'Lower limit of the first quartile class L1 =')
disp(f1,'Frequency of the first quartile class f1 =')
disp(F1,'Cumulative frequency of the previous class w.r.to the first quartile class F=')
disp(C,'Width of the class interval C=')
Q1 = L1+(((N/4)-F1)*C/f1);
disp(Q1,'Fist Quartile Q1=')
disp(L3,'Lower limit of the third quartile class L1 =')
disp(f3,'Frequency of the third quartile class f1 =')
disp(F3,'Cumulative frequency of the previous class w.r.to the third quartile class F=')
disp(C,'Width of the class interval C=')
Q3 = L3+(((3*N/4)-F3)*C/f3);
disp(Q3,'Third Quartile Q3=')
QD = (Q3-Q1)/2; //Quartile Deviation
disp('in Lakhs',QD,'Quarile Deviation QD =')
Coeff_QD = (Q3-Q1)/(Q3+Q1);
disp(Coeff_QD,'Coefficient of Quartile Deviation =')
//Result
//
// Lower limit of the first quartile class L1 =
//
// 20.
//
// Frequency of the first quartile class f1 =
//
// 10.
//
// Cumulative frequency of the previous class w.r.to the first quartile class F=
//
// 13.
//
// Width of the class interval C=
//
// 10.
//
// Fist Quartile Q1=
//
// 29.
//
// Lower limit of the third quartile class L1 =
//
// 50.
//
// Frequency of the third quartile class f1 =
//
// 10.
//
// Cumulative frequency of the previous class w.r.to the third quartile class F=
//
// 58.
//
// Width of the class interval C=
//
// 10.
//
// Third Quartile Q3=
//
// 58.
//
// Quarile Deviation QD =
//
// 14.5
//
// in Lakhs
//
// Coefficient of Quartile Deviation =
//
// 0.3333333
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