3. 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 mean monthly expenditure :
The class having maximum frequency is the modal class.
The maximum frequency is 40 and hence the modal class = 1500-2000
Lower limit (l) of modal class = 1500, class size (h) = 500
Frequency ( ) of the modal class = 40 frequency ( ) of class preceding the modal class = 24, frequency ( ) of class succeeding the modal class = 33.
Thus, Mode of the data is Rs. 1847.82
Let the assumed mean be a = 2750 and h = 500
Thus, Mean monthly expenditure is Rs. 2662.50