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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

The correct answer is 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

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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

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