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


Expenditure (in Rs)



Number of families



1000 – 1500


1500 - 2000


2000 - 2500


2500 - 3000


3000 - 3500


3500 - 4000


4000 - 4500


4500 – 5000



24


40


33


28


30


22


16


7


As per the question:

Modal class = 1500-2000


l = 1500


h = 500


f1 = 40


f0 = 24


f2 = 33



=



= 1847.82


The above given data can be represented in the form of table as below:


Class interval



fi



xi



di=xi-a



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




∑fi =200






∑fiui= -35



Hence, the mean can be calculated as below:




= 2750 -87.5


= 2662.50


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