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

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 33 The mode of the following data is 67. Find the missing frequency x.Given Mode = 67 ∴ Modal class is 60 βˆ’ 70 Mode = l + (π’‡πŸ βˆ’π’‡πŸŽ)/(πŸπ’‡πŸ βˆ’ π’‡πŸŽ βˆ’ π’‡πŸ) Γ— 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 + (π’‡πŸ βˆ’π’‡πŸŽ)/(πŸπ’‡πŸ βˆ’ π’‡πŸŽ βˆ’ π’‡πŸ) Γ— h 67 = 60 + (15 βˆ’ π‘₯)/(2(15) βˆ’ π‘₯ βˆ’ 12) Γ— 10 67 βˆ’ 60 = (15 βˆ’ π‘₯)/(30 βˆ’ π‘₯ βˆ’ 12) Γ— 10 7 = (15 βˆ’ π‘₯)/(18 βˆ’ π‘₯) Γ— 10 7(18 βˆ’ x) = (15 βˆ’ x) Γ— 10 126 βˆ’ 7x = 150 βˆ’ 10x 10x βˆ’ 7x = 150 βˆ’ 126 3x = 24 x = πŸπŸ’/π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 10 years. He provides courses for Maths and Science at Teachoo.