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04/07/2021 11:58 am
Topic starter
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 - Frequency
0-10 → 7
10-20 → 14
20-30 → 13
30-40 → 12
40-50 → 20
50-60 → 11
60-70 → 15
70-80 → 8
1 Answer
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04/07/2021 11:59 am
Given Data,
Modal class = 40 – 50, l = 40,
Class width (h) = 10, fm = 20, f1 = 12 and f2 = 11
Mode = l+ [(fm-f1)/(2fm-f1-f2)] × h
Substitute the values
Mode = 40 + ((20-12)/(40 - 12 - 11)) × 10
Mode = 40 + (80/17)
= 40 + 4.7 = 44.7
Thus, the mode of the given data is 44.7 cars