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Calculate the median from the following data:

 Rent (in Rs):  15 - 25  25 - 35  35 - 45  45 - 55  55 - 65  65 - 75  75 - 85  85 - 95
 No. of Houses:  8  10  15  25  40  20  15  7

1 Answer

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Best answer
 Class interval  Frequency  Cumulative frequency
 15 - 25  8  8
 25 - 35  10  18
 35 - 45  15 33
 45 - 55  25 58 (F)
 55 - 65  40 (f)  98
 65 - 75  20  48
 75 - 85  15 133
 85 - 95  7 140
 N = 140

We have, 

N = 140

\(\frac{N}{2}=\frac{140}{2}=70\)

The cumulative frequency is just greater than 98 then median class is 55-65 such that

l = 55, f = 40, F = 58, h = 65 – 55 = 10

Median = I + \(\frac{\frac{N}{2}-F}{f}\times h\)

\(=55+\frac{70-58}{40}\times 10\)

\(=55+\frac{12}{40}\times 10\)

\(=55+3=58\)

Therefore, 

Median = 58

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