If the mean of -1, 0, 9, 3, k, 5 is 2, where k is
FURTHER MATHEMATICS
WAEC 2009
If the mean of -1, 0, 9, 3, k, 5 is 2, where k is a constant, find the median of the set of numbers.
- A. \(\frac{3}{2}\)
- B. 0
- C. \(\frac{7}{2}\)
- D. 6
Correct Answer: A. \(\frac{3}{2}\)
Explanation
\(\frac{-1 + 0 + 9 + 3 + k + 5}{6} = 2 \implies 16 + k = 12\)
\(k = -4\)
Arranging -1, 0, 9, 3, -4, 5 in order: -4, -1, 0, 3, 5, 9
Median = \(\frac{0 + 3}{2} = \frac{3}{2}\)
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