Question

The given distribution shows the number of runs scored by some top batsman of the world in one-day international cricket matches.

Find the mode of the data.

Answer 1

Here, the maximum number of batsman i.e. 18 have scored the runs in the interval 4000 – 5000.

So, the modal class is 4000 – 5000 .

Now, modal class = 4000 – 5000,

lower limit (l) of modal class = 4000,

class size(h) = 1000

frequency (f₁) of the modal class = 18

frequency (f₀) of class preceding the modal class = 4

frequency (f₂) of class succeeding the modal class = 9

Now, let us substitute these values in the formula