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

Run Scored	Number of Batsman
3000-4000	4
4000-5000	18
5000-6000	9
6000-7000	7
7000-8000	6
8000-9000	3
9000-10000	1
10000-11000	1

Find the mode of the data.

Given data:

Modal class = 4000 – 5000,

l = 4000,

class width (h) = 1000,

f_m = 18, f₁ = 4 and f₂ = 9

Mode Formula:

Mode = l+ [$\frac{f_m-f_1}{2f_m-f_1-f_2}$]×h

Substitute the values

Mode = 4000+($\frac{18-4}{36-4-9}$)×1000

Mode = 4000+($\frac{14000}{23}$) = 4000+608.695

Mode = 4608.695

Mode = 4608.7 (approximately)

Thus, the mode of the given data is 4608.7 runs