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The mean of a set of six numbers is 60. If the mean of the...

Mathematics
JAMB 2002

The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.

  • A. 105
  • B. 100
  • C. 95
  • D. 110
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Correct Answer: Option D
Explanation

Let the sum of the first five numbers and the sixth number be x and t respectively.

\(\frac{x + t}{6} = 60 \implies x + t = 360\)

\(\frac{x}{5} = 50 \implies x = 250\)

\(\therefore t = 360 - 250 = 110\)


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