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Question

If the median of the following frequency distribution is 28.5 find the missing frequencies:
Class interval: 0−10 10−20 20−30 30−40 40−50 50−60 Total
Frequency: 5 f1 20 15 f2 5 60

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Solution

Given: Median = 28.5

We prepare the cumulative frequency table, as given below.

Now, we have

.....(1)

Also,

Since the median = 28.5 so the median class is 20−30.

Here,

We know that


Putting the value of in (1), we get

Hence, the missing frequencies are 7 and 8.


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