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The mean of a set of 10 numbers is 56. If the mean of the...

Mathematics
WAEC 2022

The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.

  • A. 75
  • B. 65
  • C. 55
  • D. 45
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Correct Answer: Option B
Explanation

10th number must be over 56 (as it increases the average)

55 x 9 = 495 = sum of first 9 numbers

56 x 10 = 560 = sum of all 10 numbers

560 - 495 = 65 = 10th number

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