Find the median for the following table which shows daily wages drawn by 200 workers in a factory.
Daily Wages Less than 100 200 300 400 500
No Of Workers. 40. 82. 154. 184. 200
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Daily Wages
Frequency f
i
cf
0−100
40
40
100−200
32
72
200−300
48
120
300−400
22
142
400−500
8
150
∑f
i
=150
Where cf= cumulative frequency
Here
N=150
2
N
=75
cf just greater than 75 to 120
Median class 200−300
So, I=200, h=100, f=48 and
cf=cf of preceding class i.e 72
Substitute all the value in the above formula, we get
Median =200+{100×
48
(75−72)
}
=200+6.25
=206.25
Median of daily wages is Rs. 206.25
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