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Last updated at Sept. 24, 2018 by Teachoo
Transcript
Ex 14.2, 6 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 Frequency 0 โ 10 7 10 โ 20 14 20 โ 30 13 30 โ 40 12 40 โ 50 20 50 โ 60 11 60 โ 70 15 Mode = l + (๐1 โ๐0)/(2๐1 โ๐0 โ๐2) ร h Modal class = Interval with highest frequency = 40 โ 50 where l = lower limit of modal class = 40 h = class-interval = 10 - 0 = 10 f1 = frequency of the modal class = 20 f0 = frequency of class before modal class = 12 f2 = frequency of class after modal class = 11 Mode = l + (๐1 โ๐0)/(2๐1 โ๐0 โ๐2) ร h = 40 + (20 โ12)/(2(20)โ12โ11) ร 10 = 40 + 8/(40 โ23) ร 10 = 40 + 80/17 = 40 + 4.7 = 44.7
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