The numbers 3, 2, 8, 5, 7, 12, 9 and 14 are the marks scored by a group of students in a class test. If P is scored by an group of students in a class test. If P is the mean and Q the median, the P + Q is
-
A.
18 -
B.
17(frac{1}{2}) -
C.
16 -
D.
15
Correct Answer: Option D
Explanation
Re-arranging them 2, 3, 5, 7, 8, 9, 12, 14
Mean = P and median = Q
P = (frac{2 + 2 + 5 + 7 + 8 + 9 + 12 + 14}{8})
(frac{60}{8}) = 7.5
median (Q) = (frac{7 + 8}{2})
(frac{15}{2}) = 7.5
P + Q = 7.5 + 7.5 = 15