The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the men monthly expenditure:


Expenditure (in Rs.)



Frequency



1000-1500



24



1500-2000



40



2000-2500



33



2500-3000



28



3000-3500



30



3500-4000



22



4000-4500



16



4500-5000



7


We may observe that the given data be maximum class frequency is 40 belonging to 1500- 2000 intervals

So, modal class = 1500- 2000


l=1500, f=40, f0=24, f2=33, h=50



=


=1500 + 347.826


=1847.826


So, modal class monthly expenditure was Rs. 1847.83


We may compute class marks (xi) as per the relation:


Xi=


h= 500, A=2750


Expenditure(in Rs)



N0.of families(fi)



xi



di=xi -2750



ui



fiui



1000-1500



24



1250



-1500



-3



-72



1500-2000



40



1750



-1000



-2



-80



2000-2500



33



2250



-500



-1



-33



2500-3000



28



2750



0



0



0



3000-3500



30



3250



500



1



30



3500-4000



22



3750



1000



2



44



4000-4500



16



4250



1500



3



48



4500-5000



7



4750



2000



4



28



Total



200






-35



∑xi=200,


(x̅) mean =


(x̅) =


=2750-87.5


=2662.5


So, mean monthly expenditure was Rs. 2662.50


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