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Question

The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observation in the data:
Class interval Frequency Class interval Frequency
0−100
100−200
200−300
300−400
400−500
2
5
f1
12
17
500−600
600−700
700−800
800−900
900−1000
20
f2
9
7
4

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Solution

Given: Median = 525

We prepare the cumulative frequency table, as given below.

Now, we have

.....(1)

So,

Since median = 525 so the median class is .

Here,

We know that


Putting the value of in (1), we get

Hence, the missing frequencies are 9 and 15.


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