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Set A: {x, x, x, y, y, y, 3x+y, x–y } If the median of set

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Senior Manager
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Set A: {x, x, x, y, y, y, 3x+y, x–y } If the median of set [#permalink] New post 15 Oct 2017, 22:59
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Set A: {x, x, x, y, y, y, 3x+y, x–y }

If the median of set A is 10 and 0 < x < y, what is the range of set A?

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[Reveal] Spoiler: OA
40


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Re: Set A: {x, x, x, y, y, y, 3x+y, x–y } If the median of set [#permalink] New post 15 Oct 2017, 23:46
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Using the fact that x<y, we can order our set increasingly as {x-y x x x y y y 3x-y}. Then, the fact that the median is 10 can be rewritten as (x+y)/2 = 10 or x+y = 20.

The range of the set is computed as 3x-y-(x-y) = 2x+2y = 2(x+y) = 2*20 = 40.

The range is 40!
Re: Set A: {x, x, x, y, y, y, 3x+y, x–y } If the median of set   [#permalink] 15 Oct 2017, 23:46
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Set A: {x, x, x, y, y, y, 3x+y, x–y } If the median of set

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