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

Mode: The class which has the highest frequency.
In this case, class interval 4000-5000 is the modal class.
Now, Lower limit of modal class, l = 4000, h = 1000, f1 = 18, f0 = 4, f2 = 9
We know that,
Mode = l + ((f1 - f0) / (2f1 - f0 - f2)) * h
= 4000 + ((18 - 4) / (2(18) - 4 - 9)) * 1000
= 4000 + (14 / (36 - 13)) * 1000
= 4000 + (14 / 23) * 1000
Mode = 4608.7
Hence, the mode of the given data is 4608.7 runs.