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The average of 21 numbers is 66. The average of the first 9 numbers is 63.7 and that of the last 13 numbers is 69.9. If the 9th number is excluded, then what is the average of the remaining numbers?
1. 63
2. 64
3. 64.5
4. 63.5

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Correct Answer - Option 3 : 64.5

Given:

The average of 21 number is 66

Calculation:

⇒ Total sum of 21 number = 21 × 66 = 1386

⇒ The sum of first 9 number = 63.7 × 9 = 573.3

⇒ The sum of last 13 number = 69.9 × 13 = 908.7

⇒ The 9th number = 1386 - 573.3 - 908.7 = 96

⇒ When 9th number is excluded than sum = 1386 - 96 = 1290

⇒ New average = 1290/20 = 64.5

∴ The required result will be 64.5.

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