Q. 55.0( 1 Vote )

# Find the mode for the following data: 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

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