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
Frequency 7 14 13 12 20 11 15 8
Find the mode of the data.
Answers
Answered by
1
Answer:
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Answered by
13
Answer:
44.7
Step-by-step explanation:
Time = 3 minutes
Number of periods = 100
The modal class for the given data will be the range 40-50 where the Cf 20 lies.
Thus, l = 40, h = 10, f0 = 12 f1 = 20 and f2 = 11
Applying the mode formula -
Mode = l + (f1-f0/ 2f1 - f0 - f2)× h
= 40 + (20-12/ 2 × 20 - 12 - 11) × 10
= 40 + 80/17
= 44.7
Thus, the mode of the given data is 44.7
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