Frequency distribution of daily commission received by salesman is given.
Find mean daily commission received by a salesman.

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Solution

$D a i l y c o m m i s s i o n$
$(i n R s .)$ $M i d - v a l u e$
$x_{i}$ $N o . o f s a l e s m a n$
$f_{i}$ $f_{i} x_{i}$
$100 - 120$ $110$ $20$ $2200$
$120 - 140$ $130$ $45$ $5850$
$140 - 160$ $150$ $22$ $3300$
$160 - 180$ $170$ $9$ $1530$
$180 - 200$ $190$ $4$ $760$
$\sum f_{i} = 100$ $\sum f_{i} x_{i} = 13640$
$\Rightarrow$ $M e a n (¯ ¯ ¯ x) = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{13640}{100} = 136.4$
$\Rightarrow$ Mean daily commission received by a salesman is $R s .136 .4$

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Daily commission (in Rs.)	$100 - 120$	$120 - 140$	$140 - 160$	$160 - 180$	$180 - 200$
No. of salesman	$20$	$45$	$22$	$9$	$4$

Daily commission (in Rs.)	100-120	120-140	140-160	160-180	180-200
No. of salesman	20	45	22	9	4

100

A property agent gets a commission of $3 %$ by selling an apartment for $₹ 250000$ . Commission received by agent is

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