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.

By formula,

Mode = l + $\Big(\dfrac{f$1 - f0}{2f1 - f0 - f_2}\Big) \times h

Here,

1. Class size is h.

2. The lower limit of modal class is l

3. The Frequency of modal class is f₁.

4. Frequency of class preceding modal class is f₀.

5. Frequency of class succeeding the modal class is f₂.

Class 4000 - 5000 has the highest frequency.

∴ It is the modal class.

∴ l = 4000, f₁ = 18, f₀ = 4, f₂ = 9 and h = 1000.

Substituting values we get :

$\text{Mode} = 4000 + \Big(\dfrac{18 - 4}{2 \times 18 - 4 - 9}\Big) \times 1000 \\[1em] = 4000 + \dfrac{14}{36 - 13} \times 1000 \\[1em] = 4000 + \dfrac{14000}{23} \\[1em] = 4000 + 608.7 \\[1em] = 4608.7$

Hence, mode = 4608.7 runs.