If in a continuous distribution the total frequency be N then the class interval whose cumulative frequency is just greater than \(\frac{N}{2}\) (or equal to \(\frac{N}{2}\)) is called the median class. In other words, median class is the class interval in which the median lies.
Solved Example on Median Class:
Find the median class of the following distribution.
Wages (in Dollar)
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
Number of Workers
50
54
85
45
30
Solution:
Here, N = 50 + 54 + 85 + 45 + 30 = 264.
So, \(\frac{N}{2}\) = \(\frac{264}{2}\) = 132.
The cumulative frequencies of the classes are 50, 104, 189, 234 and 264 respectively.
Here, the cumulative frequency just greater than 132 is 189. The class interval of 189 is 50 – 60. So, the median class is 50 – 60.
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