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150, 200, 250, n Which of the following could be the median

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Joined: 06 Nov 2008
Posts: 53

Kudos [?]: 6 [0], given: 0

150, 200, 250, n Which of the following could be the median [#permalink]

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New post 09 Nov 2008, 21:09
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

150, 200, 250, n

Which of the following could be the median of the 4 integers listed above?

I. 175
II. 215
III. 235


A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

Kudos [?]: 6 [0], given: 0

SVP
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Joined: 29 Aug 2007
Posts: 2473

Kudos [?]: 834 [0], given: 19

Re: median--28 [#permalink]

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New post 09 Nov 2008, 21:16
haichao wrote:
150, 200, 250, n

Which of the following could be the median of the 4 integers listed above?

I. 175
II. 215
III. 235

A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III


C. I & II.
I. If n is 150, median is 175.
II. if n is 230, median is 215.
III. no matter the value of n, median cannot be 235.
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Kudos [?]: 834 [0], given: 19

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Re: median--28 [#permalink]

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New post 09 Nov 2008, 21:17
C

I n is anything less than 150, then the average of 150 and 200 is used as the median, which would be I. 175. If N = 230, then the average of 200 and 230 (which would be the 2 middle numbers) is used, and average of 200 & 230 = 215.

235 is never possible because when you have an even number of integers, the middle two numbers will be averaged. 200 is already the middle number, so it will certainly be used. There is no way to add another number to the set and NOT use 200 as one number when computing the median. In order for 235 to be the average when 200 is used, the other number used would have to be 270, but this will never happen because 250 is there and would be used instead.

haichao wrote:
150, 200, 250, n

Which of the following could be the median of the 4 integers listed above?

I. 175
II. 215
III. 235


A. I only
B. II only
C. I and II only
D. II and III only
E. I, II, and III

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Kudos [?]: 607 [0], given: 32

Re: median--28   [#permalink] 09 Nov 2008, 21:17
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150, 200, 250, n Which of the following could be the median

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