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

Find the mode of the data."

Given:

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

To do:

We have to find the mode of the data.

Solution:

The frequency of the given data is as given below.

We observe that the class interval of 4000-5000 has the maximum frequency(18).

Therefore, it is the modal class.

Here,

$l=4000, h=1000, f=18, f_1=4, f_2=9$

We know that,

Mode $=l+\frac{f-f_1}{2 f-f_1-f_2} \times h$

$=4000+\frac{18-4}{2 \times 18-4-9} \times 1000$

$=4000+\frac{14}{36-13} \times1000$

$=4000+\frac{14000}{23}$

$=4000+608.7$

$=4608.7$

The mode of the given data is 4608.7. 

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

29 Views

Kickstart Your Career

Get certified by completing the course

Get Started