Find the average age of 500 people in a town.

Age (in Years) 0-10 10-20 20-30 30-60 60-90

No. of people 50 90 200 120 40

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Solution

Age
(in years)
Mid Value
(m) No. of People
Frequency
(f) fm

0 − 10
10 − 20
20 − 30
30 − 60
60 − 90 5
15
25
45
75 50
90
200
120
40 250
1350
5000
5400
3000

Σf = 500 Σfm = 15000

$X = \frac{Σ f m}{Σ f} = \frac{15000}{500} = 30$
Thus, the mean is 30 years.

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Similar questions

Average age of the people of a country is shown in the following table:

$\begin{matrix} Age (Years) & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 People & 30 & 32 & 15 & 12 & 9 \end{matrix}$

Find out mean age by Direct Method.

Age in years	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	90	40	60	20	120	30

Age (in years)	10−20	20−30	30−40	40−50	50−60	60−70	70−80
No. of Persons	4	26	32	10	9	6	3

Age (in Years)	Less than 10	10−20	20−30	30−40	More than 40
No. of Persons	5	8	12	6	4

Ages (in years)	10−20	20−30	30−40	40−50	50−60	60−70
Number of patients	90	50	60	80	50	30

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Age (in Years)	0-10	10-20	20-30	30-60	60-90
No. of people	50	90	200	120	40