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)
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  1. 17.43
  2. 16.56
  3. 18.68
  4. 17.65

Answer (Detailed Solution Below)

Option 3 : 18.68
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Detailed Solution

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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.

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