LUU
2.
A school organised a Diwali mela. Ages of persons, who visited the mela are given in the following
frequency distribution.
| Age (in years) 0-10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 50 - 60 | 60-70
Number of persons 50 | 400 | 108 530 | 47 | 10 | 5
Find the mean and median age of the above distribution.
Answers
Mean Age = 26.51 Years & Median Age = 30.32 Years for Persons Visiting Diwali Mela organized by a School
Step-by-step explanation:
Age Number of Person
Class Mean Class Frequency Mean*Frequency Cf
0 - 10 5 50 250 50
10 -20 15 400 6000 450
20 -30 25 108 2700 558
30-40 35 530 18550 1088
40-50 45 47 2115 1135
50-60 55 10 550 1145
60-70 65 5 325 1150
Total 1150 30490
Mean = 30490 / 1150
= 26.51
Mean Age = 26.51 Years
1150/2 = 575 lies in 30-40
Median = 30 + 10 * (1150/2 - 558)/530
= 30 + 0.32
= 30.32
Median Age = 30.32 Years
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