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The mean of 5 numbers is 20. If one number is excluded, the mean of the remaining numbers becomes 23. What is the excluded number?

  • A.8
  • B.12
  • C.15
  • D.20

Answer: A

The sum of the original 5 numbers = Mean × Count = 20 × 5 = 100.

After one number is excluded, there are 4 numbers left, and their mean is 23.

The sum of the remaining 4 numbers = 23 × 4 = 92.

The excluded number is the difference between the original sum and the new sum.

Excluded number = 100 - 92 = 8.

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