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…
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)?
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Correct answer: (B) 19
Explanation
Sorted, the data is 9,15,16,20,23,26,28,32,33,34,35,43, so P = (26+28)/2 = 27. After the replacements it is 9,15,20,26,28,30,32,32,33,34,35,43, so Q = (30+32)/2 = 31. Then 3P − 2Q = 81 − 62 = 19.