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A set of 15 different integers has median 25 and range 25.

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Manager
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A set of 15 different integers has median 25 and range 25.  [#permalink] New post 12 Aug 2008, 04:50
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A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.
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Re: PS - median and range [#permalink] New post 12 Aug 2008, 05:16
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.


50 can not be the highest number.

for the range to be 25, (50 - least number) = 25, i.e least number is 25
But it's given that 25 is median and since each number is different, there must be 7 smaller numbers than 25
Manager
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Re: PS - median and range [#permalink] New post 12 Aug 2008, 05:30
alpha_plus_gamma wrote:
bhushangiri wrote:
A set of 15 different integers has median 25 and range 25. What could be the greatest possible integer in this set ?

OA is 43.

How 43 ? I am getting 50.


50 can not be the highest number.

for the range to be 25, (50 - least number) = 25, i.e least number is 25
But it's given that 25 is median and since each number is different, there must be 7 smaller numbers than 25


Thanks. Realized that each number is different only when i read your post. O/w was taking all the lowest as 25.
Re: PS - median and range   [#permalink] 12 Aug 2008, 05:30
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A set of 15 different integers has median 25 and range 25.

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