Question

The following distribution shows the daily pocket allowance of children of a locality

Daily pocket allowance (in Rs.)	10-20	20-30	30-40	40-50	50-60
Number of Children	$3$	$5$	$4$	$7$	$6$

Find the mean daily pocket allowance by using appropriate method

Answer 1

Daily allowance	Number of children $x_i$	class marks $f_i$	$f_i{x}_i$
10-20	3	15	45
20-30	5	25	125
30-40	4	35	140
40-50	7	45	315
50-60	6	55	330
	$\sum x_i=25$		$\sum f_i{x}_i=955$

Mean $=\frac{\sum f_i{x}_i}{\sum x_i}=\frac{955}{25}=38.2$