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

  1. Chapter 14 Class 10 Statistics
  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 Runs scored Number of batsmen 3000 โ€“ 4000 4 4000 โ€“ 5000 18 5000 โ€“ 6000 9 6000 โ€“ 7000 7 7000 โ€“ 8000 6 8000 โ€“ 9000 3 9000 โ€“ 10000 1 10000-11000 1 Mode = l + (๐‘“1 โˆ’๐‘“0)/(2๐‘“1 โˆ’๐‘“0 โˆ’๐‘“2) ร— h Modal class = Interval with highest frequency = 4000 โ€“ 5000 where l = lower limit of modal class = 4000 h = class-interval = 4000 - 3000 = 1000 f1 = frequency of the modal class = 18 f0 = frequency of class before modal class = 4 f2 = frequency of class after modal class = 9 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

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