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# Is the mean of set Q greater than its median

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Manager
Joined: 28 May 2014
Posts: 207

Kudos [?]: 133 [0], given: 69

Is the mean of set Q greater than its median [#permalink]

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29 Sep 2017, 20:05
00:00

Difficulty:

35% (medium)

Question Stats:

54% (00:32) correct 46% (00:41) wrong based on 24 sessions

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Is the mean of set Q greater than its median?

(1) All the elements in Q are consecutive multiples of 2.
(2) The sum of all the elements in Q is 100.
[Reveal] Spoiler: OA

Kudos [?]: 133 [0], given: 69

Intern
Joined: 17 Oct 2016
Posts: 28

Kudos [?]: 3 [0], given: 59

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
Re: Is the mean of set Q greater than its median [#permalink]

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29 Sep 2017, 20:09
IMO E

St1 doesn’t tell about the numbers.
St2 doesn’t tell about the multiples being positive or negative

Combining-no info yet about the positive or negative
Hence E

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Posted from my mobile device

Kudos [?]: 3 [0], given: 59

Math Forum Moderator
Joined: 02 Aug 2009
Posts: 4971

Kudos [?]: 5472 [0], given: 112

Re: Is the mean of set Q greater than its median [#permalink]

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29 Sep 2017, 20:32
saswata4s wrote:
Is the mean of set Q greater than its median?

(1) All the elements in Q are consecutive multiples of 2.
(2) The sum of all the elements in Q is 100.

Mean is the average and median is the central value.

1) elements are consecutive multiples of 2.
If the elements are in AP, the mean =median.

Say the number of elements are EVEN..
2,4,6,8
Mean = (2+4+6+8)/4=5..
Median=(4+6)/2=5..
Mean = median

Number of elements are odd
4,6,8
Mean=18/3=6
Median=6
Mean=Median

Ans is always NO

Sufficient

2) the sum of elements is 100.
Insufficient

A
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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5472 [0], given: 112

Intern
Joined: 08 Mar 2017
Posts: 22

Kudos [?]: 6 [0], given: 7

Location: India
Concentration: Operations, General Management
GPA: 2.79
WE: Project Management (Manufacturing)
Re: Is the mean of set Q greater than its median [#permalink]

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30 Sep 2017, 03:45
saswata4s wrote:
Is the mean of set Q greater than its median?

(1) All the elements in Q are consecutive multiples of 2.
(2) The sum of all the elements in Q is 100.

Yes/No Question..
St-1 Consequtive multiples have mean=median, Unique No for set Q. sufficient
St-2 Sum of terms, we can not determine median or mean with no of terms and any other info- Insufficient.
Ans is A

Kudos [?]: 6 [0], given: 7

Re: Is the mean of set Q greater than its median   [#permalink] 30 Sep 2017, 03:45
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