Calculate the median from the following data:
Marks below: | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
No. of students: | 15 | 35 | 60 | 84 | 96 | 127 | 198 | 250 |
140 kg below | No. of students | Class interval | Frequency | Cumulative frequency |
10 | 15 | 0-10 | 15 | 15 |
20 | 35 | 10-20 | 20 | 35 |
30 | 60 | 20-30 | 25 | 60 |
40 | 84 | 30-40 | 24 | 84 |
50 | 96 | 40-50 | 12 | 96 (F) |
60 | 127 | 50-60 | 31 (f) | 127 |
70 | 198 | 60-70 | 71 | 198 |
80 | 250 | 70-80 | 52 | 250 |
N = 250 |
We have, N = 250
= 
= 125
The cumulative frequency is just greater than 
is 127 then median class is 50-60 such that:
l = 50, f = 31, F = 96, h = 60-50 = 10
Median = l + 
= 50 + 
* 10
= 50 + 
= 
= 59.35
5