Q. 55.0( 1 Vote )

Find the mode of the following data:


Answer :

Observe that, from the given data:

The maximum class frequency, here, is 28 and the class corresponding to this frequency is 50 – 60.


So, this implies that,


Modal class = 50 – 60


Mode of such grouped frequency distribution is given by,



Where,


l = lower limit of the modal class = 50


f0 = frequency of the class preceding the modal class = 17


f1 = frequency of the modal class = 28


f2 = frequency of the class succeeding the modal class = 23


c = size of class interval (the class intervals are same) = 10


Substituting the values l = 50, f0 = 17, f1 = 28, f2 = 23 and c = 10 in the formula of mode. We get






Mode = 50 + 6.875


Mode = 56.875


Thus, the mode of the data is 56.875.


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