Q. 15.0( 1 Vote )

Find the mode for

Answer :

Observe that, from the given data:

The maximum class frequency, here, is 15 and the class corresponding to this frequency is 20 – 24.


So, this implies that,


Modal class = 20 – 24


Mode of such grouped frequency distribution is given by,



Where,


l = lower limit of the modal class = 20


f0 = frequency of the class preceding the modal class = 7


f1 = frequency of the modal class = 15


f2 = frequency of the class succeeding the modal class = 1


c = size of class interval (the class intervals are same) = 4


Substituting the values l = 20, f0 = 7, f1 = 15, f2 = 1 and c = 4 in the formula of mode. We get







Mode = 20 + 1.45


Mode = 21.45


Thus, the mode is 21.45.


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