On 2 October, 100 residents of a colony took part in Swachh Bharat Abhiyan. A student
collected the number of residents with respect to their ages. After collecting the data, he
analyzed the data and prepared a report on the Swachch Bharat Abhiyan. Using this report, he
drew the following graph for a particular of 100 residents of a colony took part in Swachch
Bharat Abhiyan:
Answers
Median age of 100 residents = 27.5 years
Step-by-step explanation:
Graph shows number of residents = 50
Question says number of residents = 100
Hence Scale = 2
From Graph
Age CF as per Graph CF after scale
Above 0 50 100
Above 10 46 92
Above 20 40 80
Above 30 20 40
Above 40 10 20
Above 50 4 8
0 - 10 8 8 100
10-20 12 20 92
20-30 40 60 80
30-40 20 80 40
40-50 12 92 20
50 + 8 100 8
Total 100
Median lies between 20 - 30
Median = 20 + 10*((100/2) - 20)/40
= 20 + 10 * 30/40
= 20 + 7.5
= 27.5
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