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# The terms of each set above are given in ascending order. If the media

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Math Expert
Joined: 02 Sep 2009
Posts: 64314
The terms of each set above are given in ascending order. If the media  [#permalink]

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01 Apr 2016, 02:56
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Difficulty:

25% (medium)

Question Stats:

76% (01:06) correct 24% (01:07) wrong based on 144 sessions

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Set A: 3, x, 8, 10
Set B: 4, y, 9, 11

The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – x?

A. -2
B. -1
C. 0
D. 1
E. 2

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Joined: 26 Nov 2015
Posts: 28
Re: The terms of each set above are given in ascending order. If the media  [#permalink]

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01 Apr 2016, 03:33
2
Bunuel wrote:
Set A: 3, x, 8, 10
Set B: 4, y, 9, 11

The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – x?

A. -2
B. -1
C. 0
D. 1
E. 2

So we have even no. of elements in the Set

So median is the average of Middle two numbers
(x+8)/2= (y+9)/2
y - x= -1

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Joined: 11 Sep 2015
Posts: 4889
GMAT 1: 770 Q49 V46
Re: The terms of each set above are given in ascending order. If the media  [#permalink]

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09 Feb 2020, 08:15
Top Contributor
Bunuel wrote:
Set A: 3, x, 8, 10
Set B: 4, y, 9, 11

The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – x?

A. -2
B. -1
C. 0
D. 1
E. 2

Key property: When we have an EVEN number of terms, the median of those terms will be the AVERAGE of the two middlemost terms, when those terms are listed in ascending order

So the median of Set A = (x + 8)/2
And the median of Set B = (y + 9)/2

Since we're told that the two medians are equal, we can write: (x + 8)/2 = (y + 9)/2
Multiply both sides of the equation by 2 to get: x + 8 = y + 9
Subtract x from what sides to get: 8 = y - x + 9
Subtract 9 from both sides to get: -1 = y - x

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Re: The terms of each set above are given in ascending order. If the media   [#permalink] 09 Feb 2020, 08:15