The average of the marks of 25 students in a class, in an examination was calculated to be 19. Later, the teacher realized that the marks of two students were taken as 18 and 19 respectively, instead of 14 and 15. Find the new actual average marks of the class.

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 2)
View all SSC CGL Papers >
  1. 17.43
  2. 16.56
  3. 18.68
  4. 17.65

Answer (Detailed Solution Below)

Option 3 : 18.68
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given:

The average of the marks of 25 students in a class, in an examination was calculated to be 19.

Wrong marks are 18 and 19

Correct marks are 14 and 15

Concept used:

Average = Sum of elements/Number of elements

Calculation:

Total marks of 25 students with wrong numbers = 25 × 19

⇒ 475

Correct total = 475 - (18 + 19) + 14 + 15

⇒ 475 - 37 + 29

⇒ 467

So, new average = 467/25

⇒ 18.68

∴ The new actual average mark of the class is 18.68.

Latest SSC CGL Updates

Last updated on Jul 10, 2025

-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

More Average Questions

Hot Links: teen patti master apk teen patti plus teen patti star login teen patti joy 51 bonus teen patti gold download