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Let P be the median of the data: 34, 28, 20, 32, 15, 9, 23, 26, 35, 16, 33, 43. If 16 and 23 are replaced by 30 and 32 respectively in the…

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Let P be the median of the data: 34, 28, 20, 32, 15, 9, 23, 26, 35, 16, 33, 43. If 16 and 23 are replaced by 30 and 32 respectively in the data, then let Q be the median of the resulting data. What is the value of (3P – 2Q)?
  • A21
  • B15
  • C19
  • D18
Correct answer: C

Explanation

Sorted data gives P = (26 + 28) ÷ 2 = 27. After the replacement the median Q = (30 + 32) ÷ 2 = 31. So 3P – 2Q = 81 – 62 = 19.

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