Q. 55.0( 1 Vote )

Find the mode for the following data:


Answer :

Observe that, from the given data:

The maximum class frequency, here, is 31 and the class corresponding to this frequency is 80 – 100.


So, this implies that,


Modal class = 80 – 100


Mode of such grouped frequency distribution is given by,



Where,


l = lower limit of the modal class = 80


f0 = frequency of the class preceding the modal class = 21


f1 = frequency of the modal class = 31


f2 = frequency of the class succeeding the modal class = 27


c = size of class interval (the class intervals are same) = 20


Substituting the values l = 80, f0 = 21, f1 = 31, f2 = 27 and c = 20 in the formula of mode. We get







Mode = 80 + 14.29


Mode = 94.29


Thus, the mode is 94.29


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses