Find the mean age from the following frequency distribution

Asked by admin @ 20/08/2021 in Math viewed by 429 People

Find the mean age in years from the frequency distribution given below:

Age (in yrs) 15-19 20-24 25-29 30-34 35-39 40-44 45-49 TotalFrequency 3 12 21 15 5 4 2 3

Answered by admin @ 20/08/2021

Given : Age (in yrs) 15-19 20-24 25-29 30-34 35-39 40-44 45-49

Frequency 3 12 21 15 5 4 2 3

To find : mean age in years

Solution:

Class Mean Class Freq f A = (mean -32)/5 A *f

15 - 19 17 3 -3 -9

20 - 24 22 12 -2 -24

25 - 29 27 21 -1 -21

30 - 34 32 15 0 0

35 - 39 37 5 1 5

40 - 44 42 4 2 8

45 - 49 47 2 3 6

Total 62 -35

Mean = 32 + 5 * (-35)/62

= 32 - 2.82

= 29.18

mean age in years = 29.18

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