Check sibling questions

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

This video is only available for Teachoo black users

Introducing your new favourite teacher - Teachoo Black, at only β‚Ή83 per month


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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.