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

Number of cars	Frequency
0-10	7
10-20	14
20-30	13
30-40	12
40-50	20
50-60	11
60-70	15
70-80	8

Given Data:

Modal class = 40 – 50, l = 40,

Class width (h) = 10, f_m = 20, f₁ = 12 and f₂ = 11

Mode = l+ [$\frac{f_m-f_1}{2f_m-f_1-f_2}$]×h

Substitute the values

Mode = 40+($\frac{20-12}{40-12-11}$)×10

Mode = 40 + ($\frac{80}{17}$) = 40 + 4.7 = 44.7

Thus, the mode of the given data is 44.7 cars