Q5 of 25 Page 337

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.

For mode:

Here, highest frequency is 18.


So, the modal class = 4000-5000


Mode is given by



Where,


L = Lower class limit of the modal class = 4000


h = class interval of the modal class = 1000


f1 = frequency of the modal class = 18


f0 = frequency of the class preceding the modal class = 4


f2 = frequency of the class succeeding the modal class = 9


Substituting values in the formula of mode,



⇒


⇒ Mode = 4000 + 608.7


⇒ Mode = 4608.7


Thus, the mode of the data is 4608.7.


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