(Q14) The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

Runs	3000-4000	4000-5000	5000-6000	6000-7000	7000-8000	8000-9000	9000-10000	10000-11000
Number of batsmen	4	18	9	7	6	3	1	1

Find the mode of the data.

Answer :

Class Interval	Frequency
3000-4000	4
4000-5000	18
5000-6000	9
6000-7000	7
7000-8000	6
8000-9000	3
9000-10000	1
10000-11000	1

Maximum number of batsmen are in the class 4000-5000.

∴ Modal class is 4000-5000.

Lower boundary of the modal class 'l' = 4000

Frequency of the modal class, f₁ = 18

Frequency of the class preceding the modal class, f₀ = 4

Frequency of the class succeeding the modal class, f₂ = 9

Height of the class, h = 1000