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Question

Find the median for the following frequency distribution
Height (in cm)
160162163165166168169171172174
Frequency1511713611014

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Solution

REF. Image.
Total No. of students (N) = 400
N2=200
Median Class =165.5168.5 [having nearest value >N/2]
Median =l+[N/2cff]h
l = Lower limit of median class
cf = Cumulative frequency of class preceding median class
f = frequency of median class
h = height of class
Median =165.5+[200132136]3
=165.5+[68136]3=165.5+32
=165.5+1.5
Median =167cm


1178256_875340_ans_a24df465980943779fac55b10e4e27d3.JPG

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