Q. 75.0( 2 Votes )

Find the mode of the following frequency distribution:


Answer :

Observe that, from the given data:

The maximum class frequency, here, is 86 and the class corresponding to this frequency is 3000 – 3500.


So, this implies that,


Modal class = 3000 – 3500


Mode of such grouped frequency distribution is given by,



Where,


l = lower limit of the modal class = 3000


f0 = frequency of the class preceding the modal class = 60


f1 = frequency of the modal class = 86


f2 = frequency of the class succeeding the modal class = 74


c = size of class interval (the class intervals are same) = 500


Substituting the values l = 3000, f0 = 60, f1 = 86, f2 = 74 and c = 500 in the formula of mode. We get







Mode = 3000 + 342.10


Mode = 3342.10


Thus, the mode of the data is 3342.10.


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