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:

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

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Solution

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

Therefore, modal class = 40 − 50

Lower limit (l) of modal class = 40

Frequency (f₁) of modal class = 20

Frequency (f₀) of class preceding modal class = 12

Frequency (f₂) of class succeeding modal class = 11

Class size = 10

Therefore, mode of this data is 44.7 cars.

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Number of cars	0 − 10	10 − 20	20 − 30	30 − 40	40 − 50	50 − 60	60 − 70	70 − 80
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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: 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