Ex 14.2, 5 - Number of runs scored by some top batsmen - Ex 14.2

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Ex 14.2, 5 - Chapter 14 Class 10 Statistics - Part 2

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

Transcript

Ex 14.2, 5 The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches. Find 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 = 4000 โ€“ 5000 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 = 4000 + (18 โˆ’ 4)/(2(18) โˆ’ 4 โˆ’ 9) ร— 1000 = 4000 + 14/(36 โˆ’13) ร— 1000 = 4000 + 14000/23 = 4000 + 608.69 = 4608.69 So, Modal runs scored by batsmen are 4608.7 runs

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Davneet Singh
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.