Answer :

Since, the given data is in inclusive series, it needs to get converted in exclusive series.

Here, the maximum class frequency is 28.

The class corresponding to this frequency is the modal class. modal class = 15.5 - 20.5

lower limit of the modal class (l) = 15.5

Modal class size (h) = 5

Frequency of the modal class (f1) = 28

Frequency of class preceding the modal class (f0) = 18

Frequency of class succeeding the modal (f2) = 20

Mode is given by,

Mode = 15.5 + 2.78 = 23.28

Hence, the mode is 23.28.

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