Marks obtained by 100 students are given in the table below. Find the median.

First we’ll find the median class -

And median class is the class corresponding to cumulative frequency which is just greater than m.

Now,

And c.f just greater is 70 corresponding to 40 - 50 (median class)

Where, l = lower limit of median class, N = sum of all frequencies, C = cumulative frequency of class preceding to median class, h = size of median class, f = frequency of median class.

∴ here l = 40, N = 100, C = 26, h = 10 and f = 44.

⇒ Median = 45.45