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: 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
