Let x be median of the data \(13, 8, 15, 14, 17, 9, 14, 16, 13, 17, 14, 15, 16, 15, 14.\) If \(8\) is replaced by \(18\), then the median of data is \(y\), then the sum of \(x\) and \(y\) is equal to:
Question and options
Let x be median of the data If is replaced by , then the median of data is , then the sum of and is equal to:
- 30
- 27
- 28
- 29
Answer and explanation
Correct answer: D - 29
Sorted (15 values): 8,9,13,13,14,14,14,14,15,15,15,16,16,17,17 -> median (8th) x = 14. Replacing 8 by 18: 9,13,13,14,14,14,14,15,15,15,16,16,17,17,18 -> median y = 15. x + y = 29.
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