Question

6. A student noted the number of cars passing through a spot on a road for 100 periods, each of 3 minutes, and summarised this in the table given below. Number of cars 0 - 10/10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80 7. 14 Frequency 13 12 11 20 15 8 Find the mode of the data. ​

Answer 1

Answer:

From the given data, it can be observed that the maximum class frequency is 20, belongings to 40−50 class intervals.

We know,

Mode=l+

2f−f

1

−f

2

f−f

1

×h

l= lower limit of the modal class

h= size of the class intervals

f= frequency of the modal class

f

1

= frequency of the class preceding the modal class

f

2

= frequency of the class succeed in the modal class.

⇒ Modal class =40−50.

⇒ l=40,f=20,f

1

=12,f

2

=11,h=10

⇒ Mode=40+

2×20−12−11

20−12

×10

⇒ Mode=40+

17

80

⇒ Mode=40+4.71=44.7cars