CBSE Class 10CBSE
Share
Notifications

View all notifications

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

Login
Create free account


      Forgot password?

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.

  Is there an error in this question or solution?

APPEARS IN

Solution Calculate the Median from the Following Data: Concept: Median of Grouped Data.
S
View in app×