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# Which of the following could be the median for a set of integers {97,

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Joined: 02 Sep 2009
Posts: 52295
Which of the following could be the median for a set of integers {97,  [#permalink]

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03 Jan 2019, 11:23
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Difficulty:

25% (medium)

Question Stats:

82% (00:28) correct 18% (00:54) wrong based on 17 sessions

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Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

(A) 71
(B) 86
(C) 91.5
(D) 97
(E) 397.5

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Re: Which of the following could be the median for a set of integers {97,  [#permalink]

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03 Jan 2019, 11:32
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Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

(A) 71
(B) 86
(C) 91.5
(D) 97
(E) 397.5

Since we're told x is an INTEGER, we can eliminate C and E

Rearrange KNOWN values in ascending order: {56, 86, 97, 98}

At this point, we can see that, if x is some number between 56 and 86, the median will be 86

For example, if x = 60, then the set becomes {56, 60, 86, 97, 98}
Median = 86

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Re: Which of the following could be the median for a set of integers {97,  [#permalink]

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06 Jan 2019, 04:18
Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

(A) 71
(B) 86
(C) 91.5
(D) 97
(E) 397.5

set of integers wont have optins c & e

so re arranging set ( 56,86,x,97,98)

only value which goes correct is B 86 .
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Re: Which of the following could be the median for a set of integers {97, &nbs [#permalink] 06 Jan 2019, 04:18
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