Calculate median of the following:
Marks |
No. of Students |
46-50 41-45 36-40 31-35 26-30 21-25 16-20 11-15 |
5 11 22 35 26 13 10 7 |
In the question the inclusive series has been given in the descending order. For calculating, it would be converted into an exclusives series in the ascending order.
Calculation of Median
Class Interval |
No. of Students |
Cumulative frequency (c.f.) |
10.5-15.5 15.5-20.5 20.5-25.5 25.5-30.5 30.5-35.5 35.5-40.5 40.5-45.5 45.5-50.5 |
7 10 13 26 35 22 11 5 |
7 17 30 50 91 113 124 129 |
N=129 |
Hence Median = 31.7 marks.