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A list is comprised of five positive integers: 4, 4, x, 7, y

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Bunuel
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A list is comprised of five positive integers: 4, 4, x, 7, y [#permalink] New post   29 Oct 2017, 04:05
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A list is comprised of five positive integers: 4, 4, x, 7, y. What is the range of the possible values of the medians?

(A) 2

(B) 3

(C) 6

(D) 7

(E) Cannot be determined by information provided.

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IlCreatore
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Re: A list is comprised of five positive integers: 4, 4, x, 7, y [#permalink] New post   30 Oct 2017, 09:50
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If x<4 and y<4, the median is 4.

If x>7, y>7 the median is is 7.

These are the two extremes for the median of this set. Thus the range of values is 7-4 = 3.

Answer B
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Re: A list is comprised of five positive integers: 4, 4, x, 7, y [#permalink] New post   06 Mar 2022, 05:08
Bunuel wrote:
A list is comprised of five positive integers: 4, 4, x, 7, y. What is the range of the possible values of the medians?

(A) 2

(B) 3

(C) 6

(D) 7

(E) Cannot be determined by information provided.

Kudos for correct solution.



Ok we do not know the values for x and y. Therefore, we can say:
4 4 x 7 y. Median is X
4 4 y 7 x. Median is y
x y 4 4 7. Median is 4
4 4 7 x y. Median is 7

The answer is E since we do not know the values of x and y.
We cannot assume that x and y are higher or lesser than other values.
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gmatclubot
Re: A list is comprised of five positive integers: 4, 4, x, 7, y [#permalink]
06 Mar 2022, 05:08
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