The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the median and modal monthly expenditure of the families. Also, find the mean monthly expenditure
Answers
Answer:
Hi there.. here's the answer for your question...
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
Now,
Let the assumed mean be a = 2750 and h = 500
Expenditure
Number of
families
Class mark
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
=200
= -35
Mean,
Thus, Mean monthly expenditure is Rs. 2662.50