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The average of 25 numbers is 15 and the average of first five numbers is 35. What is the average of remaining numbers?
1. 10
2. 12
3. 13
4. 11
5. None of these.

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Correct Answer - Option 1 : 10

Given:

Average of 25 numbers = 15

Average of first five numbers = 35

Concept used:

Average = Sum of observations/No. of observation

Calculation:

Let the average of remaining numbers be x, then

Sum of 25 numbers = Sum of first 5 numbers + Sum of remaining 20 numbers

⇒ (25 × 15) = (5 × 35) + 20x

⇒ 375 = 175 + 20x

⇒ 20x = 375 - 175

⇒ 20x = 200

⇒ x = 10

The average of the remaining is 10.

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