Multiple choice

The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of the new set of numbers?

  1. $1128$
  2. $938$
  3. $316$
  4. $216$
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D Correct answer
Explanation

When each number is multiplied by 8, the sum is also multiplied by 8, so the new average becomes 8 × 27 = 216. The number of values (8) remains unchanged, so scaling each value by k scales the average by k.

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