Find the mode of the following distribution:

Here, the maximum class frequency is 50, and the class corresponding to this frequency is 16 – 20.

So, the modal class is 16 – 20.

Now, modal class = 16 – 20, lower limit (l) of modal class = 16, class size(h) = 4

frequency (f₁) of the modal class = 50

frequency (f₀) of class preceding the modal class = 30

frequency (f₂) of class succeeding the modal class = 40

Now, let us substitute these values in the formula

= 16 + 2.67

= 18.67