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

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
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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