Question

The table below shows the daily expenditure on food of 25 household in a locality

Daily expenditure (in Rs):	100−150	150−200	200−250	250−300	300−350
Number of households:	4	5	12	2	2

Find the mean daily expenditure on food by a suitable method.

Answer 1

Let the assumed mean a = 225 and h = 50.

Daily expenditure (in Rs)	fi	xi	di = xi − 225		fiui
100−150	4	125	− 100	− 2	− 8
150−200	5	175	− 50	− 1	− 5
200−250	12	225	0	0	0
250−300	2	275	50	1	2
300−350	2	325	100	2	4
Total	$\sum _{}{f}_i=$25				$\sum _{}{f}_i{u}_i=$− 7

Now,

Therefore, mean daily expenditure on food is Rs 211.