Consider the following table:


Class interval



10 - 14



14 - 18



18 - 22



22 - 26



26 - 30



Frequency



5



11



16



25



19



The mode of the above data is

Here, the maximum class frequency is 25.


The class corresponding to this frequency is the modal class. ⇒ modal class = 22 - 26


∴ lower limit of the modal class (l) = 22


Modal class size (h) = 4


Frequency of the modal class (f1) = 25


Frequency of class preceding the modal class (f0) = 16


Frequency of class succeeding the modal (f2) = 19


Mode is given by,



⇒


⇒


⇒ Mode = 22 + 2.4 = 24.4


Hence, the mode is 24.4.

20