Compute the mode from the following data:


Age (in years)



0 - 5



5 - 10



10 - 15



15 - 20



20 - 25



25 - 30



30 - 35



Number of patients



6



11



18



24



17



13



5


Here, the maximum class frequency is 24.

The class corresponding to this frequency is the modal class. ⇒ modal class = 15 - 20


∴ lower limit of the modal class (l) = 15


Modal class size (h) = 5


Frequency of the modal class (f1) = 24


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


Frequency of class succeeding the modal (f2) = 17


Mode is given by,



⇒


⇒


⇒ Mode = 15 + 2.30 = 17.30


Hence, the mode is 17.30 years.


7