The mean of 2,7,5,9,14,5 is m. The numbers 12,17,19,64,9, -54, p have mean m+5 and median q. Then find the value of p + q.
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Correct answer: A
Explanation
Mean of 2, 7, 5, 9, 14, 5 -
Sum = 2 + 7 + 5 + 9 + 14 + 5 = 42
m = 42 ÷ 6 = 7
Mean of the second group = m + 5
= 7 + 5 = 12
Total sum of the 7 numbers = 12 × 7 = 84
Sum of the known numbers =
12 + 17 + 19 + 64 + 9 − 54 = 67
67 + p = 84
p = 17
Ascending order of the numbers -
−54, 9, 12, 17, 17, 19, 64
q = 17
p + q = 17 + 17 = 34