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Unit 5: Application of Mean, Median and Mode
Example 3: Find the median wage from the data given below: Notes
Daily wage (Rs.) 100 150 200 250 300 350 400
No. of workers 10 15 25 30 32 28 10
N + 1
Solution: Median= The size of th value
2
Daily wages (Rs.) No. of workers
x f cf
100 10 10
150 15 25
200 25 50
250 30 80
300 32 112
350 28 140
400 10 150
N = 150
N + 1
Median = The size of th item
2
+
150 1
Median = The size of th item
2
151
Median = The size of th item
2
Median = The size of 75.5th item, i.e. 250
– Median wage = Rs. 250
Continuous series
N − cf
Median = L + 2 × c
f
where
L = Lower limit of the median class
N = Half of the total frequency
2
cf = Cumulative frequency value lies just above the median class
f = Actual frequency lies on the median class
C = Class interval of the median class.
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