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# D01-17

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Math Expert
Joined: 02 Sep 2009
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D01-17  [#permalink]

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16 Sep 2014, 00:12
00:00

Difficulty:

5% (low)

Question Stats:

78% (00:48) correct 22% (01:07) wrong based on 180 sessions

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If set $$T$$ contains more than one element, is the median of set $$T$$ greater than its mean?

(1) Set $$T$$ has positive range

(2) The elements of the set are not consecutive integers

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Joined: 02 Sep 2009
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Re D01-17  [#permalink]

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16 Sep 2014, 00:12
Official Solution:

Statement 1: In general, range can be 0 or positive. If set $$T$$ has positive range, then all elements of the set are not equal. Not sufficient.

Statement 2: If the elements of the set are not consecutive integers, then all elements of the set could or could not have equal values. Not sufficient.

S1 and S2 taken together tell us that elements of the set are not all equal. These elements are not consecutive integers. This information does not is not sufficient to answer whether the median is greater than mean because the set could be {1, 1, 1, 1, 1, 2} or {2, 2, 2, 2, 2, 1}. Set {1, 1, 1, 1, 1, 2} has mean &gt; median and set {1, 2, 2, 2, 2, 2} has median &gt; mean. Not sufficient.

Answer: E
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Re: D01-17  [#permalink]

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09 Dec 2016, 15:25
Bunuel Statement 2 says that they are not consecutive integers. Does this mean they're not a part of any consecutive sequence? like odd consecutive or even consecutive? I ruled out option B by considering any A.P. series. As mean= median for AP. Is it a wrong approach?
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Re: D01-17  [#permalink]

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11 Jan 2017, 03:31
1
Consecutive integers are only "direct following" integers e.g. -1,0,1,2,3
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Re: D01-17  [#permalink]

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11 Jan 2017, 03:34
BoomHH wrote:
Consecutive integers are only "direct following" integers e.g. -1,0,1,2,3

Correct.

"Consecutive integers" ALWAYS mean integers that follow each other in order with common difference of 1: ... x-3, x-2, x-1, x, x+1, x+2, ....

For example:

-7, -6, -5 are consecutive integers.

2, 4, 6 ARE NOT consecutive integers, they are consecutive even integers.

3, 5, 7 ARE NOT consecutive integers, they are consecutive odd integers.
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Re: D01-17  [#permalink]

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06 Aug 2018, 09:32
hii Bunuel
stmnt 2 says, elements of set are not consecutive integers.. does it mean any two elements of the set cant be consecutive, or it just means that all the elements all together should not be consecutive but few of them can be consecutive..

eg: can the set be something like {1,2,3,5,7,9}, i.e few elements can be consecutive,
or, it should be something like {1,3,8,11,13,24}, i.e NO any two elements consecutive
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Re: D01-17  [#permalink]

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07 Aug 2018, 03:40
Anupam1057 wrote:
hii Bunuel
stmnt 2 says, elements of set are not consecutive integers.. does it mean any two elements of the set cant be consecutive, or it just means that all the elements all together should not be consecutive but few of them can be consecutive..

eg: can the set be something like {1,2,3,5,7,9}, i.e few elements can be consecutive,
or, it should be something like {1,3,8,11,13,24}, i.e NO any two elements consecutive

(2) implies that the set is not a set of consecutive elements. So, some of them could be consecutive but not all of them.
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Re: D01-17  [#permalink]

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17 Aug 2018, 07:52
hi bunial can u plz provide link of this kind of properties .
i found statement 2 is enough because its give us answer in either greater or not .
Re: D01-17   [#permalink] 17 Aug 2018, 07:52
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