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: Option A
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})