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Question

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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