Answer :

Here, the maximum class frequency is 20.

The class corresponding to this frequency is the modal class. modal class = 160 - 165


lower limit of the modal class (l) = 160


Modal class size (h) = 5


Frequency of the modal class (f1) = 20


Frequency of class preceding the modal class (f0) = 8


Frequency of class succeeding the modal (f2) = 12


Mode is given by,





Mode = 160 + 3 = 163


Hence, the mode is 163 cm.


Mode represents frequency, hence 163 cm is the height of maximum number of students.


To find the mean, we will solve by using direct method.



We have got


Σfi = 60 & Σfixi = 9670


mean is given by





Thus, mean is 161.17


Mean represents average, thus 161.7 cm is the average height of all the students.


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