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Question

Write the median class for the following frequency distribution:
Class-interval: 0−10 10−20 20−30 30−40 40−50 50−60 60−70 70−80
Frequency: 5 8 7 12 28 20 10 10

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Solution

We are given the following table.

Class Interval Frequency Cumulative Frequency
0−10 5 5
10−20 8 13
20−30 7 20
30−40 12 32
40−50 28 60
50−60 20 80
60−70 10 90
70−80 10 100
N = 100

Here, N = 100

N2=50

The cumulative frequency just greater than 50 is 60.

So, the median class is 40−50.


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