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Percentage Change in Mean

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Percentage Change in Mean [#permalink] New post 22 Nov 2011, 16:36
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Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 2 sessions
If two elements are dropped from set X {-10, -8, 0, 6, 7}, what will be the percentage change in its mean?
(1) The median of the set will remain the same
(2) The range of the set will decrease by 3

For me its A. Please let me know if anyone thinks otherwise.

OA is not provided.
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Re: Percentage Change in Mean [#permalink] New post 23 Nov 2011, 00:41
enigma123 wrote:
If two elements are dropped from set X {-10, -8, 0, 6, 7}, what will be the percentage change in its mean?
(1) The median of the set will remain the same
(2) The range of the set will decrease by 3

For me its A. Please let me know if anyone thinks otherwise.

OA is not provided.


Original mean = -2.5
From S1: median remains same so we can have {-10, 0, 6} or {-8, 0, 6} or {-10, 0, 7} or {-8, 0, 7}. So we have 4 different means for same median. So not sufficient.
From S2: There is a change in range hence at least one of the two numbers have to be from the end. out of all the possible combinations {-8, 0, 6} seems to be the only set meeting the criteria of S2. Sufficient.

{0, 6, 7},{-8, 6, 7},{-8, 0, 7},{-10, -8, 0,},{-10, -8, 6},{-10, 0, 6},{-8, 0, 6}

Hence IMO B
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Re: Percentage Change in Mean [#permalink] New post 23 Nov 2011, 07:59
B.

stmt 1 could mean {-8,0,6} or {-10,0,7}. insuff

stmt 2 there is only one option where the range changes by 3 and that is when you drop -10 and 7.

B should be the answer
Director
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Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
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Location: United Kingdom
Concentration: International Business, Strategy
GMAT Date: 06-22-2012
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WE: Information Technology (Consulting)
Followers: 8

Kudos [?]: 71 [0], given: 212

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Re: Percentage Change in Mean [#permalink] New post 23 Nov 2011, 14:15
Thanks Sudhanshu and Bowtie. Got it now ! Thanks so much!
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MGMAT 1 --> 530
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Re: Percentage Change in Mean   [#permalink] 23 Nov 2011, 14:15
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