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

Last updated at August 14, 2026 by Teachoo

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

Next: Question 34 (Choice - 1) → Remove Ads

Teachoo · Class 10 Explore Class 10

Transcript

Question 33 The mode of the following data is 67. Find the missing frequency x.Given Mode = 67 ∴ Modal class is 60 − 70 Mode = l + (𝒇𝟏 −𝒇𝟎)/(𝟐𝒇𝟏 − 𝒇𝟎 − 𝒇𝟐) × 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 + (𝒇𝟏 −𝒇𝟎)/(𝟐𝒇𝟏 − 𝒇𝟎 − 𝒇𝟐) × h 67 = 60 + (15 − 𝑥)/(2(15) − 𝑥 − 12) × 10 67 − 60 = (15 − 𝑥)/(30 − 𝑥 − 12) × 10 7 = (15 − 𝑥)/(18 − 𝑥) × 10 7(18 − x) = (15 − x) × 10 126 − 7x = 150 − 10x 10x − 7x = 150 − 126 3x = 24 x = 𝟐𝟒/𝟑 = 8

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular