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

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Math Expert
Joined: 02 Sep 2009
Posts: 58458
A list is comprised of five positive integers: 4, 4, x, 7, y. What is  [#permalink]

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01 Aug 2017, 02:09
00:00

Difficulty:

45% (medium)

Question Stats:

63% (01:35) correct 37% (01:06) wrong based on 73 sessions

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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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Re: A list is comprised of five positive integers: 4, 4, x, 7, y. What is  [#permalink]

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01 Aug 2017, 02:19
1
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.

if x <4 and y <4 then median is 4
if x>7 and y>7 then median is 7
these are the two extreme value of median and hence range will be 3
B
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Re: A list is comprised of five positive integers: 4, 4, x, 7, y. What is  [#permalink]

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02 Feb 2019, 00:10
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.

Only possible case can be B

4 4 4 7 y, here the lowest value of x can be 4

4 4 7 7 y, here the highest value of x can be 7

Range of medians can be 7-4 = 3
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Re: A list is comprised of five positive integers: 4, 4, x, 7, y. What is   [#permalink] 02 Feb 2019, 00:10
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