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: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
Frequency: | 7 | 14 | 13 | 12 | 20 | 11 | 15 | 8 |
From the given data we may observe that maximum class frequency is 20 belonging to the class interval 40-50
So, modal class= 40-50
Lower limit, l= 40
f0=12, f2=11, f=20,h = 10
=
=40 +
=40 + 4.7 =44.7