Find the mode of the following distribution:


Class interval



10 - 14



14 - 18



18 - 22



22 - 26



26 - 30



30 - 34



34 - 38



38 - 42



Frequency



8



6



11



20



25



22



10



4


Here, the maximum class frequency is 25.

The class corresponding to this frequency is the modal class. modal class = 26 - 30


lower limit of the modal class (l) = 26


Modal class size (h) = 4


Frequency of the modal class (f1) = 25


Frequency of class preceding the modal class (f0) = 20


Frequency of class succeeding the modal (f2) = 22


Mode is given by,





Mode = 26 + 2.5 = 28.5


Hence, the mode is 28.5.


4