Find the mode of the following distribution of marks obtained by the students in an examination:

Given the mean of the above distribution is 53 using empirical relationship estimate the value of its median.

Here the maximum frequency is 29 then the corresponding

60 – 80 is the modal class

l = 60, h = 80 – 60 = 20, f = 29, f₁ = 21, f₂ = 17

= 60 + 8

Mode = 68

Empirical formula between Mean, Median, and Mode:

3 Median = Mode + 2 Mean

Let median be 'y'

3×y = 68 + 2 × 53

So median = 58