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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: 51229
Which of the following could be the median for a set of integers {97,  [#permalink]

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09 Jul 2018, 04:24
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Difficulty:

15% (low)

Question Stats:

79% (00:56) correct 21% (01:31) wrong based on 33 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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Posts: 2323
Re: Which of the following could be the median for a set of integers {97,  [#permalink]

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09 Jul 2018, 04:36

Solution

Given:
• A set of integers = {97, 98, 56, x, 86}
• 20 < x < 80

To find:
• The median of the given set of integers

Approach and Working:
• As there are 5 terms in the set, the median will be the 3rd term in the series, sorted in ascending or descending order
• Also, because 20 < x < 80, the least 2 terms will be always x and 56, in any order
• Hence, the mid-term = 3rd term = 86

Hence, the correct answer is option B.

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

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09 Jul 2018, 19:49
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

There are 2 scenarios for the given set of integers since 20 < x < 80.
1.20 < x < 56 , Arranging in ascending order, {x,56,86,97,98}, we have median=86
2. $$56\leq{x}$$<80, Arranging in ascending order, {56,x,86,97,98}, we have median=86

Ans. (B)
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Which of the following could be the median for a set of integers {97, &nbs [#permalink] 09 Jul 2018, 19:49
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