Q7 of 55 Page 364

Let us find the mode of frequency distribution table given below :

This is a grouped frequency distribution table.

Notice the greatest frequency is 28.


⇒ Modal class = 15 – 20


Mode is given by



Where,


L = Lower class limit of the modal class = 15


h = class interval of the modal class = 5


f1 = frequency of the modal class = 28


f0 = frequency of the class preceding the modal class = 18


f2 = frequency of the class succeeding the modal class = 17


Substituting values in the formula of mode,



⇒


⇒


⇒ Mode = 15 + 2.38


⇒ Mode = 17.38


Thus, mode is 17.38.


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