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

  1. Chapter 14 Class 10 Statistics
  2. Serial order wise
Ask Download

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 + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) 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 + (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

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.