Find the median of the following data:
Class 1500-2500 2500-3500 3500-4500 4500-5500 5500-6500 6500-7500. 7500-85000
Frequency 5 10 15 25. 40 20. 15
Answers
Given : data: Class 1500-2500 2500-3500 3500-4500 4500-5500 5500-6500 6500-7500. 7500-85000
Frequency 5 10 15 25. 40 20. 15
To find : Median
Solution:
Class f cf
1500-2500 5 5
2500-3500 10 15
3500-4500 15 30
4500-5500 25 55
5500-6500 40 95
6500-7500 20 115 .
7500-8500 15 130
130/2 = 65 lies between 55 & 95
hence median class is 5500 - 6500
Median = 5500 + 1000 * ( 65 - 55 )/40
= 5500 + 250
= 5750
5750 is the Median
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