The average of five numbers is 20. If one number is removed, the average of the rest is 22. What was the number removed?

  • A. 12
  • B. 14
  • C. 10
  • D. 8

Explanation

The original total is 5 multiplied by 20, that is 100, and the remaining four total 4 multiplied by 22, which is 88, so the removed number is 12. Working with totals rather than averages is what makes these questions straightforward. The removed value is below the average, which is why the average of the rest rose.

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