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.

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.

Filo · Accepted Answer

Mode: The class which have highest frequency.

In this case, class interval

4000 - 5000

is the modal class.

Now,

Lower limit of modal class,

l = 4000, h = 1000, f_{1}, = 18, f_{0} = 4, f_{2} = 9

We know that,

Mode

= l + (\frac{f _{1} - f _{0}}{2 f _{1} - f _{0} - f _{2}}) \times h

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

= 4000 + (\frac{14}{36 - 13}) 1000

= 4000 + (\frac{14}{23}) \times 1000

Mode

= 4680.7

Hence, the mode of the given data is

4608.7

runs.

Question Text	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 Type	Text solution:1
Upvotes	150

Text solutionVerified