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Question 33 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard

Last updated at Oct. 27, 2020 by

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

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

Question 33 - CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard - Part 2

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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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