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 |
First we prepare the following cummulative table to compute the median.
Here,
So,
Thus, the cumulative frequency just greater than 125 is 127 and the corresponding class is .
Therefore, is the median class.
Here,
We know that
Hence, the median is 59.35.