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Question

Calculate the median from the following data

Rent (in Rs)15252535354545555565657575858595
No. of Houses810
15254020157

A
58
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B
59
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C
48
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D
49
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Solution

The correct option is A 58
The cumulative frequency table for the given data is as follows:
C.I.fic.f.
15 - 25 8 8
25 - 351018
35 - 451533
45 - 552558
55 - 654098
65 - 7520118
75 - 8515133
85 - 957140
There are 140 observations, N=140N2=70
So, l=55,h=10,c=58,f=40
Median=l+(N2c)×hf
Median=55+(7058)×1040=55+12040
Median=55+3=58

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