Q6 of 55 Page 364

Let us see the frequency distribution table of obtaining marks in a periodical examination of 80 students in a class and let us find the mode

This is a grouped frequency distribution table.

Notice the greatest number of students is 22.


⇒ Modal class = 20 – 25


Mode is given by



Where,


L = Lower class limit of the modal class = 20


h = class interval of the modal class = 5


f1 = frequency of the modal class = 22


f0 = frequency of the class preceding the modal class = 16


f2 = frequency of the class succeeding the modal class = 11


Substituting values in the formula of mode,



⇒


⇒


⇒ Mode = 20 + 1.76


⇒ Mode = 21.76


Thus, mode is 21.76.


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[Hints : In the case of finding mode, we take lower limit of modal class, so we first correct the class limit in inclusive form of class limit.]