Question

In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Number of mangoes	$50-52$	$53-55$	$56-58$	$59-61$	$62-64$
Number of boxes	$15$	$110$	$135$	$115$	$25$

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?

Answer 1

Number of mangoes	Number of boxes	$x_i$	$f_i{x}_i$
50-52	15	51	765
53-55	110	54	5940
56-58	135	57	7695
59-61	115	60	6900
62-64	25	63	1575
	$\Sigma f_i=400$		$\Sigma f_i{x}_i=22875$

$\overline{x}=\frac{\Sigma f_i{x}_i}{\Sigma f_i}=\frac{22875}{400}=57.1875$

Hence, the mean number of mangoes kept in a packing box is $57.1875$.