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If the range of set S is 9 and S={2,4,5,7

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If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   20 Jul 2020, 11:38
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If the range of set S is 9 and \(S = [ 2, 4, 5, 7, 8, 9, x]\) , which of the following could be the median of set S?


Indicate all possible answers.

A 5

B 6

C 7

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A,C
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   Updated on: 27 Jul 2020, 03:53
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If x is negative (0), then median is 5. And when x is positive (11), the median is 7.

Originally posted by sukrut96 on 20 Jul 2020, 22:24.
Last edited by sukrut96 on 27 Jul 2020, 03:53, edited 1 time in total.
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   21 Jul 2020, 04:35
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sukrut96 wrote:
If x is negative (-7), then median is 5. And when x is positive (11), the median is 7.


If range is 9, then how can you take x as -7? It would be 9 - (-7) = 16
you can take x as 0 only then it would be 9 - 0 = 9, no?
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   21 Jul 2020, 05:01
sukrut96 wrote:
If x is negative (-7), then median is 5. And when x is positive (11), the median is 7.


Or range means number of elements in a set?
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   21 Jul 2020, 07:57
Farina wrote:
sukrut96 wrote:
If x is negative (-7), then median is 5. And when x is positive (11), the median is 7.


If range is 9, then how can you take x as -7? It would be 9 - (-7) = 16
you can take x as 0 only then it would be 9 - 0 = 9, no?


Range is the difference between largest and the smallest number in the set. Here it is given that range is 9, which means x must be be 9 numbers greater or less than 2.
Thus, 2 - 9 = -7 and 2 + 9 = 11.
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   27 Jul 2020, 01:57
sukrut96 wrote:
Farina wrote:
sukrut96 wrote:
If x is negative (-7), then median is 5. And when x is positive (11), the median is 7.


If range is 9, then how can you take x as -7? It would be 9 - (-7) = 16
you can take x as 0 only then it would be 9 - 0 = 9, no?


Range is the difference between largest and the smallest number in the set. Here it is given that range is 9, which means x must be be 9 numbers greater or less than 2.
Thus, 2 - 9 = -7 and 2 + 9 = 11.


9 is larger - so you are not correct
s can be 0 - the range is 9 - 0 = 9
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   27 Jul 2020, 03:45
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The range is 9, which means that x can be 0 or 11.

When x = 0, median = 5.
When x = 11, median = 7.

Answer is A and C.
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   13 Aug 2020, 21:31
So, if the question is written this way, with the x in front of the 9, the x can be anywhere in the number set? I interpreted the problem to mean that the x must be greater than 9,
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Re: If the range of set S is 9 and S={2,4,5,7 [#permalink] New post   15 Aug 2020, 22:43
dinht2 wrote:
So, if the question is written this way, with the x in front of the 9, the x can be anywhere in the number set? I interpreted the problem to mean that the x must be greater than 9,


x can be written anywhere, else it would have been a very simple question and GRE doesn't like simple things.
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