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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, 03:50
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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
[Reveal] Spoiler:
43
.

How
[Reveal] Spoiler:
43
? I am getting
[Reveal] Spoiler:
50
.
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Re: PS - median and range [#permalink] New post 12 Aug 2008, 04:16
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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
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Re: PS - median and range [#permalink] New post 12 Aug 2008, 04:30
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.
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Re: A set of 15 different integers has median 25 and range 25. [#permalink] New post 02 Sep 2013, 13:05
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.







Try to right down 25 in the middle as a median and 7 numbers to the left and 7 nubers to the right.
You will see clearly that the minimum possible least number is 18 to the left of 25.
Hence 18+25 -->43

18 19 20 21 22 23 24 25 ....... --> the least possible
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Re: A set of 15 different integers has median 25 and range 25. [#permalink] New post 02 Sep 2013, 13:26
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Expert's post
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.


Similar question to practice:
Quote:
A set of 25 different integers has a median of 50 and a range of 50. What is the greatest possible integer that could be in this set?

(A) 62
(B) 68
(C) 75
(D) 88
(E) 100


Discussed here: a-set-of-25-different-integers-has-a-median-of-50-and-a-129345.html

Variation of this question: a-set-of-25-integers-has-a-median-of-50-and-a-range-of-128463.html

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Re: A set of 15 different integers has median 25 and range 25. [#permalink] New post 05 Oct 2013, 14:27
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.


Might wanna use a spoiler in there
Thanks
Re: A set of 15 different integers has median 25 and range 25.   [#permalink] 05 Oct 2013, 14:27
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A set of 15 different integers has median 25 and range 25.

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