Question

The table below shows the daily expenditure on food of $25$ households in a locality.
Find the mean daily expenditure on food by a suitable method.

Answer 1

By direct method :

$Class$	$Frequency$ $f_i$	$Mid-value$ $x_i$	$f_i{x}_i$
$100-150$	$4$	$125$	$500$
$150-200$	$5$	$175$	$875$
$200-250$	$12$	$225$	$2700$
$250-300$	$2$	$275$	$550$
$300-350$	$2$	$325$	$650$
	$\sum f_i=25$		$\sum f_i{x}_i=5275$

$Mean=\frac{\sum f_i{x}_i}{\sum f_i}=\frac{5275}{25}=211$

$\therefore$ The mean of daily expenditure on food is $211$.