The following table shows the monthly income of 20 families. Find the mean monthly income of those families.

Monthly income
( $x_{i}$ ) Number of families
( $f_{i}$ ) $f_{i} x_{i}$

20000 2 40000

50000 4 200000

100000 5 500000

75000 6 450000

60000 3 180000

(2 marks)

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Solution

$\sum f_{i} = 2 + 4 + 5 + 6 + 3 = 20$
(0.5 marks)

$\sum f_{i} x_{i} = 40000 + 200000 + 500000 + 450000 + 180000$

$= 1370000$
(0.5 marks)

Mean= $\frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1370000}{20}$
= ₹68500
(1 mark)

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Similar questions

Monthly income(Rs)	Number of families(frequency)
20,000	2
50,000	4
1,00,000	5
75,000	6
60,000	3

The monthly household incomes of 8 families are given as:
{45000, 50000, 75000, 60000, 48000, 54000, 68000 and 150000}

Find the average income. Does the mean income give a fair idea of the average household income?

9 : 2

R s . 2700

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