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# Set S consistes of 5 consecutive integers, Set T consists of

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Director
Joined: 13 Nov 2003
Posts: 789
Location: BULGARIA
Set S consistes of 5 consecutive integers, Set T consists of [#permalink]

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17 May 2006, 00:23
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Set S consistes of 5 consecutive integers, Set T consists of 7 consecutive integers.

is the Median of S equal to the median of T?

1) Median of S = 0

2) Sum of numbers in S = Sum of numbers in T

OA later[color=darkblue][/color]
Senior Manager
Joined: 09 Mar 2006
Posts: 444

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17 May 2006, 00:59
B it is

The median of a odd-sized set of consecutive integers is equal to its average

1) obviously insufficient
2) If S1 is equal to S2 , then their averages will be different due to different denominator, hence sufficient

This one is wrong, see the correct explanation below.

Last edited by deowl on 17 May 2006, 08:40, edited 2 times in total.
Intern
Joined: 23 Feb 2006
Posts: 39

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17 May 2006, 08:00
I think it's B.
Sum of S is x+(x+1)+..(x+4)=5x+10
Sum of T is 5y+10
B says: 5y+10=5y+10 => y=x => median is the same
Manager
Joined: 14 Mar 2006
Posts: 208

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17 May 2006, 08:02
B aswell.

In this case if the sums equal, then the median should be same.
s: -2, -1, 0, 1, 2
t:-3, -1, -1, 0, 1, 2, 3
CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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17 May 2006, 08:04
B.

St1: Clearly INSUFF
St2: This can only be true if both the sets are as follows

S = {-2,-1,0,1,2}
T = {-3,-2,-1,0,1,2,3}
Median of both is same.: SUFF
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Senior Manager
Joined: 09 Mar 2006
Posts: 444

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17 May 2006, 08:32
C it is

1) insuff

2) at least two options exist
{2,3,4,5,6,7,8} and {5,6,7,8,9} - medians are different
actually much more sets can be found where medians are different
see my WRONG explanation above
{-3, -2, -1, 0, 1, 2, 3 } and {-2, -1, 0, 1, 2} - medians are equal

(1) + (2) together leave only the possibility in which the average (and the median ) is zero so it is sufficient.
CEO
Joined: 20 Nov 2005
Posts: 2894
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008

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17 May 2006, 08:43
deowl wrote:
C it is

1) insuff

2) at least two options exist
{2,3,4,5,6,7,8} and {5,6,7,8,9} - medians are different
actually much more sets can be found where medians are different
see my WRONG explanation above
{-3, -2, -1, 0, 1, 2, 3 } and {-2, -1, 0, 1, 2} - medians are equal

(1) + (2) together leave only the possibility in which the average (and the median ) is zero so it is sufficient.

Oops I missed this
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Director
Joined: 16 Aug 2005
Posts: 938
Location: France

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17 May 2006, 08:52
Thats a nice catch deowl, this was a tricky one
Senior Manager
Joined: 09 Mar 2006
Posts: 444

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17 May 2006, 08:57
Yeah, guys. Cross our fingers and hope this will not happen on G day.
Manager
Joined: 14 Mar 2006
Posts: 208

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17 May 2006, 10:11
deowl wrote:
Yeah, guys. Cross our fingers and hope this will not happen on G day.

thanks deowl, nice work.
I tried to produce the same result but couldn't in a short time. Def a tricky q.
Intern
Joined: 23 Feb 2006
Posts: 39

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19 May 2006, 05:08
I think it's B.
Sum of S is x+(x+1)+..(x+4)=5x+10
Sum of T is 5y+10
B says: 5y+10=5y+10 => y=x => median is the same
Senior Manager
Joined: 09 Aug 2005
Posts: 283

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20 May 2006, 12:21
deowl wrote:
C it is

1) insuff

2) at least two options exist
{2,3,4,5,6,7,8} and {5,6,7,8,9} - medians are different
actually much more sets can be found where medians are different
see my WRONG explanation above
{-3, -2, -1, 0, 1, 2, 3 } and {-2, -1, 0, 1, 2} - medians are equal

(1) + (2) together leave only the possibility in which the average (and the median ) is zero so it is sufficient.

Can you provide the 2 examples you have in mind that show b is not suff?

consecutive is the key here

thank you
20 May 2006, 12:21
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