Question

The fruit vendor has apples packed in boxes. Each box contains different numbers of apples. The following was the distribution of apples according to the number of boxes. Find the mean number of Apples kept in a packing box using the direct method.

• A. $39.5$
• B. $41.5$
• C. $38.5$
• D. $35.5$

Answer 1

The correct option is C $38.5$

No. of apples	No. of boxes $f_i$	$x_i=\frac{\text{Upper limit+Lower limit}}{2}$	$f_i{x}_i$
30-33	60	31.5	1890
33-36	120	34.5	4140
36-39	150	37.5	5625
39-42	80	40.5	3160
42-45	50	43.5	2175
45-48	90	46.5	4185
	$\Sigma f_i=550$		$\Sigma f_i{x}_i=21175$

By direct method

$\text{Mean}=\frac{\Sigma f_i{x}_i}{\Sigma f_i}=\frac{21175}{550}=38.5$

$\therefore$ Mean $=$ $38.5$