Question

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

Expenditure (in Rs.)	Frequency	Expenditure (in Rs.)	Frequency
1000−1500 1500−2000 2000−2500 2500−3000	24 40 33 28	3000−3500 3500−4000 4000−4500 4500−5000	30 22 16 7

Answer 1

Expenditure	Frequency (f i)	xi	f ixi
1000−1500	24	1250	30000
1500−2000	40	1750	70000
2000−2500	33	2250	74250
2500−3000	28	2750	77000
3000−3500	30	3250	97500
3500−4000	22	3750	82500
4000−4500	16	4250	68000
4500−5000	7	4750	33250

Here, the maximum frequency is 40 so the modal class is 1500−2000.

Therefore,

= 1500 + 347.83
= Rs 1847.83

Thus, the modal monthly expenditure of the families is Rs 1847.83.

Now,

Mean monthly expenditure of the families



Thus, the mean monthly expenditure of the families is Rs 2662.50.