Question

34.. One day school students along with a teacher visited a hospital to find the number of patients
and after collecting the data, they prepared the frequency distribution table for the same. A
teacher asked students to calculate the mean age of all the patients. Find the mean age of the
patients from the following distribution:
Age(in years) 5-14 15-24 | 25-34 35-44 45-54 55-64
No. of patients 6 11 | 21 1 23
14
5
Ans: Mean age = 34.875 years = 34.88 years (approx)​

Answer 1

Mean Age =  34.875

Step-by-step explanation:

Age         Mean  Age        f=Number of Patients     a=(mean - 29.5)/10     f*a

5 - 14              9.5                     6                                  -2                           -12

15 - 24           19.5                    11                                  -1                            -11

25 - 34          29.5                   21                                 0                              0

35 - 44          39.5                   23                                 1                              23

45 - 54          49.5                   14                                 2                              28

55 - 64          59.5                   5                                  3                              15

                     Total                 80                                                             43

Mean Age = 29.5  + 10 * 43/80

= 29.5 + 5.375

= 34.875

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