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# The numbers 3, 2, 8, 5, 7, 12, 9 and 14 are the marks scored by a group of stude...

### Question

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

### Options

A) 18

B) 17$$\frac{1}{2}$$

C) 16

D) 15

### 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

## Dicussion (1)

• 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