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PS - Statistics

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PS - Statistics [#permalink]

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New post 16 Feb 2009, 21:18
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A set of integers have a median of 25 and range of 25? What is the greatest possible integer that could be included in the set?

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Re: PS - Statistics [#permalink]

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New post 16 Feb 2009, 21:56
since the Median is 25.The maximum possible value of the lowest element is 25.

So R = H - L therefore 25 = H - 25 so H = 50.

I am not sure if it is correct.

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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 09:07
Nope, the answer is different.

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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 09:37
Choices are
A. 32
B. 37
C. 40
D. 43
E. 50

note: also where to practice such kind of statistics problems?

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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 10:11
Now that I think about it, I kinda agree w/ 50.

Reasoning:
Let X be the range from the lowest Number to the Median.
So in a set of numbers (say 3 numbers, but can be any numbers), the set is

Set: {25-X,25,25+(25-X)}

To Maximize 25+X, X=0

So Set: {25, 25, 50} where the range is 25.


But since this answer is wrong, someone help me out here? Is there an explanation in the answer key?

Last edited by BuddaBelly on 17 Feb 2009, 10:32, edited 1 time in total.

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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 10:19
There is proplem with original question .. "15 different" is missing..

A set of 15 different 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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New post 17 Feb 2009, 10:33
guess A then. yeah that 15 clears up a lot.

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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 10:43
x2suresh wrote:
There is proplem with original question .. "15 different" is missing..

A set of 15 different 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


Please note that they are different integers..
seven numbers <25 should be close 25 and must be different integers..
so 18 is the least number.
18 19 20 21 22 23 24 25 ......................43
max possible number
18 +25(range) =43

D
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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 10:49
its careless mistakes like that that cost me. crap.

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Re: PS - Statistics - Guys please advise [#permalink]

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New post 17 Feb 2009, 22:00
Guys,

How to prepare for Maths? An example is this problem.I had seen it before but i forget the logic and after a few week when i get to the same problem or same type.I spend more time and sometime arrive at a wrong answer.I read it one of the Forum to work on the know concepts again and again.Yes this is something i can do.Other than this it is useful to create an errorlog of the problem we get wrong or have no idea and view them after 2 to 3 weeks so that we dont forget the logic.
What be your idea?Please advise.I am need of help from you.

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Re: PS - Statistics [#permalink]

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New post 17 Feb 2009, 22:11
well...both of the ways used to solve this are general skills.

you can pick numbers and write them all out in sequence, or you can use algebra since you know the relationship of these numbers to each other.


I don't think you're supposed to memorize all the solutions. just do 300+ questions from OG 2 weeks before the exam. don't expect to do these question once and then be able to use them 3 months down the road.

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Re: PS - Statistics   [#permalink] 17 Feb 2009, 22:11
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