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+//Caption:Relationship between Mean, Median and Mode
+//Example3.11
+//Page48
+clear;
+clc;
+X = [0,2;2,4;4,6;6,8;8,10;10,12;12,14;14,16;16,18];
+f = [10,15,20,30,8,5,4,3,5];
+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
+cen = N/2;
+for i = 1:length(f)
+ if ((sigmaf(i)< cen) &(cen< sigmaf(i+1))) then
+ L = X(i+1,1);
+ Fre = f(i+1);
+ F = sigmaf(i)
+ C = diff(X(i+1,:));
+ end
+end
+disp(L,'Lower limit of the median class L =')
+disp(Fre,'Frequency of the Median class f =')
+disp(F,'Cumulative frequency of the previous class F=')
+disp(C,'Width of the class interval C=')
+Median = L+(((N/2)-F)*C/Fre);
+disp(Median,'Median of the travelling allowance of the salesman is Rs =')
+disp('Crores')
+[Maxf,i]= max(f);
+f1 = abs(f(i)-f(i-1));//Absolute difference between freq. of the modal class and
+//that of its immediately preceding class
+f2 = abs(f(i)-f(i+1));//Absolute difference beween freq. of the modal class and
+//that of its immediately succeeding class
+Mode = L+((f1/(f1+f2))*C);
+disp(Mode,'Mode of the annual revenues of the firms is =')
+disp('crores')
+Mean = (3*Median-Mode)/2;
+disp(Mean,'Mean of the annual revenue of the firm is =')
+disp('crores')
+//Result
+//Lower limit of the median class L =
+//
+// 6.
+//
+// Frequency of the Median class f =
+//
+// 30.
+//
+// Cumulative frequency of the previous class F=
+//
+// 45.
+//
+// Width of the class interval C=
+//
+// 2.
+//
+// Median of the travelling allowance of the salesman is Rs =
+//
+// 6.3333333
+//
+// Crores
+//
+// Mode of the annual revenues of the firms is =
+//
+// 6.625
+//
+// crores
+//
+// Mean of the annual revenue of the firm is =
+//
+// 6.1875
+//
+// crores \ No newline at end of file