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If m and n are the mean and median respectively of the set of numbers...

Mathematics
JAMB 1998

If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number
  • A. 19
  • B. 18
  • C. 13
  • D. 12
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Correct Answer: Option A
Explanation
mean(x) = \(\frac{\sum x}{N}\)

= \(\frac{48}{8}\)

= 5.875

re-arranging the numbers;

2, 3, 5, 6, 2, 7, 8, 9

median = \(\frac{6 + 7}{2}\)

= \(\frac{1}{2}\)

= 6.5

m + 2n = 5.875 + (6.5)2

= 13 + 5.875

= 18.875

= \(\approx\) = 19

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