Ex 14.2, 6 - A student noted number of cars passing through

Ex 14.2, 6 - Chapter 14 Class 10 Statistics - Part 2

  1. Chapter 14 Class 10 Statistics (Term 2)
  2. Serial order wise

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: Mode = l + (๐’‡๐Ÿ โˆ’๐’‡๐ŸŽ)/(๐Ÿ๐’‡๐Ÿ โˆ’๐’‡๐ŸŽ โˆ’๐’‡๐Ÿ) ร— h Modal class = Interval with highest frequency = 40 โ€“ 50 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of class before modal class f2 = frequency of class after modal class Putting values in formula Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h = 40 + (20 โˆ’12)/(2(20)โˆ’12โˆ’11) ร— 10 = 40 + 8/(40 โˆ’23) ร— 10 = 40 + 80/17 = 40 + 4.7 = 44.7 Thus, Modal number of cars are 44.7 cars

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.