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# A set of 15 diff integers has a median of 25 and a range of

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A set of 15 diff integers has a median of 25 and a range of [#permalink]  09 Aug 2008, 18:01
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A set of 15 diff integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?

32
37
40
43
50

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Re: PS [#permalink]  09 Aug 2008, 19:42
dishant007 wrote:
A set of 15 diff integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?

32
37
40
43
50

A. 32.

is the question properly designed?
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Re: PS [#permalink]  10 Aug 2008, 05:24
dishant007 wrote:
A set of 15 diff integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?

32
37
40
43
50

al integers are diff hence lets say 25 median means 7 intgers below and above 25 are different.
now to get highest value at the end we need the lowest value to be maximum so that same range is maintained.
also to decide maximum lowest value median is important.
25-7 =18 gives the lowest value's max value
18 is nearest to 25

hence now 18+(15-1)=32 is highest upper value.

IMO A
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Re: PS [#permalink]  10 Aug 2008, 09:13
dishant007 wrote:
A set of 15 diff integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?

32
37
40
43
50

If median is 25 then we can assume lower 7 numbers to be 24, 23, 22, 21, 20, 19 ,18.

Since range =25 , therefore largest integer will be 18+25=43
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Re: PS [#permalink]  12 Aug 2008, 06:56
dishant007 wrote:
A set of 15 diff integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?

32
37
40
43
50

To get the greatest possible integer, first 7 seven numbers could have max values..
they must 25-7, 25-6....

7 different numbers
18............25............

Range =25
Greatest possible value = 18+25=43
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Re: PS [#permalink]  12 Aug 2008, 07:02
In the future, please write out words like "diff" into "different". This can help non-native speakers that may not yet know "diff" = different.

dishant007 wrote:
A set of 15 diff integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set ?

32
37
40
43
50

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**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a.

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Re: PS   [#permalink] 12 Aug 2008, 07:02
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