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# GMAT Diagnostic Test Question 16

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GMAT Diagnostic Test Question 16 [#permalink]

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06 Jun 2009, 22:33
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GMAT Diagnostic Test Question 16
Field: statistics
Difficulty: 600-650

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

A. Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
B. Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
D. EACH statement ALONE is sufficient
E. Statements (1) and (2) TOGETHER are NOT sufficient
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Last edited by bb on 28 Sep 2013, 13:01, edited 1 time in total.
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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07 Jun 2009, 18:08
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Explanation

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 suff.
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. NSF.

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 > median and set {1, 2, 2, 2, 2, 2} has median > mean. NSF.
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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11 Sep 2009, 14:17
There is an error in the file:

Stat 1: Set S has a positive range. (Should be set T has a positive range)
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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12 Nov 2009, 18:40
saw that, but figured it was a typo. Certainly ate up some time and made me feel stupid for missing a detail though.
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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21 Nov 2009, 02:57
I did the test just now and the error is not fixed yet. Set S --> Set T
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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19 Dec 2009, 15:00
[1 2 87] and [5 5 5] both fulfill statement 1 and 2,
but the mean is larger than the median in [1 2 87]
and the mean is equal to the median in [5 5 5]
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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24 Apr 2010, 03:04
bb wrote:

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

(1) - range of any numbers from 1 to infininte - any clue of what numbers and how much numbers are in set T

(2) - non concecutive - could be any range of nonconsecutive numbers from 1 to infinite

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Re: GMAT Diagnostic Test Question 16 [#permalink]

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30 Apr 2010, 10:46
As of yesterday, the typo in Statement 1 is correct in the forum, but it has not yet been corrected in the PDF, which should say:

(1) Set T has positive range.

(1) Set S has positive range.
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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08 Nov 2010, 09:42
bb wrote:
(1) Set T has positive range.

I though that the range is always positive by definition....?
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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06 Oct 2011, 07:36
Pkit wrote:
bb wrote:

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

(1) - range of any numbers from 1 to infininte - any clue of what numbers and how much numbers are in set T

(2) - non concecutive - could be any range of nonconsecutive numbers from 1 to infinite

Can you please explain me this DS.I didt understand...
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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29 Sep 2012, 09:05
Hey guys! This is my first post on the forum.

The current PDF has the first statement say: (1) Set S has positive range

I think it is intending to say (1) Set T has positive range, Correct?

Also - - - I've noticed all the previous posts are from more than a year ago, does anyone still use this?
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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29 Sep 2012, 09:59
Krest19 wrote:
Hey guys! This is my first post on the forum.

The current PDF has the first statement say: (1) Set S has positive range

I think it is intending to say (1) Set T has positive range, Correct?

Also - - - I've noticed all the previous posts are from more than a year ago, does anyone still use this?

Yes, it should be: Set T has positive range.
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Re: GMAT Diagnostic Test Question 16 [#permalink]

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30 Sep 2012, 09:48
(i)
{-3, 8} R=8-(-3)=11
{10,12); R=12-10=2

Range is positive but we cant find out the T and hence the diff of the mean and median.

(ii)
{-3, 8} R=8-(-3)=11
{10,12); R=12-10=2

Even with the similar eg. (as above) which says that the values are non-consecutive, we can't find T.

Together, we cant find T

(E) wins
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Re: GMAT Diagnostic Test Question 16   [#permalink] 30 Sep 2012, 09:48
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# GMAT Diagnostic Test Question 16

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