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Ex 13.2, 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 + (𝒇𝟏 −𝒇𝟎)/(𝟐𝒇𝟏 −𝒇𝟎 −𝒇𝟐) × h Modal class = Interval with highest frequency = 4000 – 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 + (𝑓1 −𝑓0)/(2𝑓1 −𝑓0 −𝑓2) × h = 4000 + (18 − 4)/(2(18) − 4 − 9) × 1000 = 4000 + 14/(36 −13) × 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo