The mode of the following data is 67. Find the missing frequency x.

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  1. Class 10
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Transcript

Question 33 The mode of the following data is 67. Find the missing frequency x.Given Mode = 67 โˆด Modal class is 60 โˆ’ 70 Mode = l + (๐’‡๐Ÿ โˆ’๐’‡๐ŸŽ)/(๐Ÿ๐’‡๐Ÿ โˆ’ ๐’‡๐ŸŽ โˆ’ ๐’‡๐Ÿ) ร— h where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of the class before modal class f2 = frequency of the class after modal class Now, Mode = l + (๐’‡๐Ÿ โˆ’๐’‡๐ŸŽ)/(๐Ÿ๐’‡๐Ÿ โˆ’ ๐’‡๐ŸŽ โˆ’ ๐’‡๐Ÿ) ร— h 67 = 60 + (15 โˆ’ ๐‘ฅ)/(2(15) โˆ’ ๐‘ฅ โˆ’ 12) ร— 10 67 โˆ’ 60 = (15 โˆ’ ๐‘ฅ)/(30 โˆ’ ๐‘ฅ โˆ’ 12) ร— 10 7 = (15 โˆ’ ๐‘ฅ)/(18 โˆ’ ๐‘ฅ) ร— 10 7(18 โˆ’ x) = (15 โˆ’ x) ร— 10 126 โˆ’ 7x = 150 โˆ’ 10x 10x โˆ’ 7x = 150 โˆ’ 126 3x = 24 x = ๐Ÿ๐Ÿ’/๐Ÿ‘ = 8

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.