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....

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

Answer Details

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