Question

The following table shows the age distribution of patients of malaria in
a village during a particular month:
Age (in years) 5-14 15-24 25-34 35-44
45-54 55-64
Number of cases
6
11
21
23
14
5
Find the average age of the patients.​

Answer 1

Given : the age distribution of patients of malaria in  a village during a particular month:

Age (in years) 5-14 15-24 25-34 35-44  45-54 55-64

Number of cases  6       11     21        23          14    5

To Find :  the average age of the patients.​

Solution:

Age (in years)  Mean Age   d=(Mean - 29.5)/10   f              d.f  

5-14                   9.5                   -2                           6           -12

15-24                19.5                   -1                           11           -11

25-34               29.5                  0                           21            0

35-44               39.5                   1                           23           23

45-54               49.5                   2                          14            28

55-64               69.5                   3                          5             15

                                                                             80            43

Mean = 29.5  +  43 * 10 /80

= 29.5 + 5.375

= 34.875

average age of the patients = 34.875

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