A group of $50$ house owners contributes money towards children's education of their street. The amount of money collected is shown in the table below: (use direct method).

Rs.

27

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Rs.

17

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Rs.

10

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Rs.

23

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Solution

The correct option is A Rs. $27$
Answer:- Given $Σ f = 50$
Using frequency distribution table

Amount No. of house owners $x_{i}$ $x_{i} f_{i}$
0-10 5 5 25
10-20 10 15 150
20-30 15 25 375
30-40 10 35 350
40-50 10 45 450
$Σ f_{i} = 50$ $Σ f_{i} x_{i} = 1350$
$∴$ Amount of money collected = Arithmetic mean
$\Rightarrow M e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{1350}{50} = 27$
$∴$ the amount of money collected = 27Rs.
A) Rs. 27

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Amount	No. of house owners	$x_{i}$	$x_{i} f_{i}$
0-10	5	5	25
10-20	10	15	150
20-30	15	25	375
30-40	10	35	350
40-50	10	45	450
	$Σ f_{i} = 50$		$Σ f_{i} x_{i} = 1350$

A group of 50 house owners contributes money towards children's education of their street. The amount of money collected is shown in the table below: (use direct method).

A group of $50$ house owners contributes money towards children's education of their street. The amount of money collected is shown in the table below: (use direct method).