Question

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

Find the mode of the data.

Answer 1

From the given data we may observe that maximum class frequency is 18 belonging to the class interval 4000- 5000

So, 

modal class= 4000-5000 

Lower limit, l= 4000 

f₀=4, f₂=9, f=18,h = 1000

Mode \(=I+(\frac{f-f_0}{2f-f_0-f_2})h\) 

\(=400+(\frac{18-4}{2(-8)-4-9})1000\)

\(=4000+\frac{14000}{23}=4608.7\) runs