Question

The table below shows the daily expenditure on food of $25$ households 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

Answer:-

Daily expenditure	No. of households $f_i$	$x_i$	$f_i{x}_i$
100-150	4	125	500
150-200	5	175	875
200-250	12	225	2700
250-300	2	275	550
300-350	2	325	650
	$\Sigma f_i=25$		$\Sigma f_i{x}_i=5275$

$\therefore \text{mean daily expenditure on food}=\frac{\Sigma f_i{x}_i}{\Sigma f_i}=\frac{5275}{25}=211$