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# Calculate the Median from the Following Data: - CBSE Class 10 - Mathematics

#### Question

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

#### Solution

 Class interval Frequency Cumulative frequency 15 - 25 8 8 25 - 35 10 18 35 - 45 15 33 45 - 55 25 58 55 - 65 40 98 65 - 75 20 118 75 - 85 15 133 85 - 95 7 140 N = 140

Here N = 140

So, N/2 = 70

Thus, the cumulative frequency just greater than 70 is 98 and the corresponding class is 55 - 65.

Therefore, 55 - 65 is the median class.

Here, l = 55, f = 40, F = 58 and h = 10

We know that

Median =l +{(N/2-F)/f}xxh

=55+{(70-58)/40}xx10

=55+(12xx10)/40

=55+120/40

= 55 + 3

= 58

Hence, the median is 58.

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Solution Calculate the Median from the Following Data: Concept: Median of Grouped Data.
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