Q5 of 55 Page 364

Let us find the mode from the following frequency distribution table of ages of examinees of an entrance examination.

This is a grouped frequency distribution table.

Notice the greatest number of examinees is 75.


⇒ Modal class = 18 – 20


Mode is given by



Where,


L = Lower class limit of the modal class = 18


h = class interval of the modal class = 2


f1 = frequency of the modal class = 75


f0 = frequency of the class preceding the modal class = 45


f2 = frequency of the class succeeding the modal class = 38


Substituting values in the formula of mode,



⇒


⇒


⇒ Mode = 18 + 0.896


⇒ Mode = 18.896


Thus, mode is 18.896.


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