A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data:

Here, the maximum class frequency is 20, and the class corresponding to this frequency is 40 – 50.

So, the modal class is 40 – 50.

Now, modal class = 40 – 50, lower limit (l) of modal class = 40, class size(h) = 10

frequency (f₁) of the modal class = 20

frequency (f₀) of class preceding the modal class = 12

frequency (f₂) of class succeeding the modal class = 11

Now, let us substitute these values in the formula

= 40 + 4.7

= 44.7