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 the mean and Q the median, the P + Q is
A
18
B
17\(\frac{1}{2}\)
C
16
D
15
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #31991)