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Question

If the median of the following data is 50, then find the value of p.
ClassFrequency0 - 201020 - 40740 - 601660 - 80p80 - 1008


A
6
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B
7
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C
8
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D
9
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Solution

The correct option is D 9

The cumulatice frequency distribution table is given below:
Class FrequencyCumulativeFrequency0 - 20101020 - 4071740 - 60163360 - 80p33+p80 -100841+p

Since median is 50, median class is 40-60.

Using;
Median=l+[n2cff]×h,
Here,n=41+p,
n2=(41+p)2
Now, 50=40+[(41+p)21716×20]
10=[(41+p34)216×20]
10=[(7+p)16×2×20]
Simplifying, we get (7+p)16=1
7+p=16
p=9
the value of p is 9.


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