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Set D is a new set created by combining all the terms of Set

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Set D is a new set created by combining all the terms of Set [#permalink] New post 18 Aug 2013, 12:36
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56% (01:56) correct 44% (01:15) wrong based on 29 sessions
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

[Reveal] Spoiler:
I don't know the answer to this, but I think it's E.

Does anyone either know the answer or can explain to me if I am wrong?

Thank you very much.

Note: I haven't a clue as to how to tag this question but it is from the Veritas Prep: X Statistics and Problem Solving book.
[Reveal] Spoiler: OA

Last edited by Bunuel on 03 Mar 2014, 03:53, edited 2 times in total.
Added the OA.
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Re: Set D is a new set created by combining all the terms of... [#permalink] New post 18 Aug 2013, 13:13
sophietrophy wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

I don't know the answer to this, but I think it's E.

Does anyone either know the answer or can explain to me if I am wrong?

Thank you very much.

Note: I haven't a clue as to how to tag this question but it is from the Veritas Prep: X Statistics and Problem Solving book.




I think answer is A. Try with different pairs and you will always end up with 125.
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Re: Set D is a new set created by combining all the terms of... [#permalink] New post 18 Aug 2013, 13:47
BangOn wrote:
sophietrophy wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

I don't know the answer to this, but I think it's E.

Does anyone either know the answer or can explain to me if I am wrong?

Thank you very much.

Note: I haven't a clue as to how to tag this question but it is from the Veritas Prep: X Statistics and Problem Solving book.




I think answer is A. Try with different pairs and you will always end up with 125.


I don't want to presume that it will hold true in every possible scenario. Is there a rule, by any chance, that will make it true?
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Re: Set D is a new set created by combining all the terms of... [#permalink] New post 03 Mar 2014, 03:14
i also find A to be inappropriate
for instance:

A 10 20 25 28 32
B 5 10 20 (25) 30 40 50
C 10 25 40

D 5 10 20 25 28 30 32 40 50
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Re: Set D is a new set created by combining all the terms of... [#permalink] New post 03 Mar 2014, 03:15
i also find A to be inappropriate
for instance:

A 10 20 25 28 32 (odd)
B 5 10 20 (25) 30 40 50 (even)
C 10 25 40 (odd)

D 5 10 20 25 28 30 32 40 50 (odd)
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Re: Set D is a new set created by combining all the terms of... [#permalink] New post 03 Mar 2014, 03:38
Expert's post
darkwraith wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

i also find A to be inappropriate
for instance:

A 10 20 25 28 32
B 5 10 20 (25) 30 40 50
C 10 25 40

D 5 10 20 25 28 30 32 40 50


Set D in this case is {5, 10, 10, 10, 20, 20, 25, 25, 25, 28, 30, 32, 40, 40, 60} --> median=25.
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Re: Set D is a new set created by combining all the terms of... [#permalink] New post 03 Mar 2014, 03:54
Bunuel wrote:
darkwraith wrote:
Set D is a new set created by combining all the terms of Sets A, B, and C. No other terms are added to Set D other than those in Sets A, B, and C. What is the median of Set D?

(1) Sets A, B, and C each have a median of 125.
(2) Sets A, B, and C each have the same number of terms.

i also find A to be inappropriate
for instance:

A 10 20 25 28 32
B 5 10 20 (25) 30 40 50
C 10 25 40

D 5 10 20 25 28 30 32 40 50


Set D in this case is {5, 10, 10, 10, 20, 20, 25, 25, 25, 28, 30, 32, 40, 40, 60} --> median=25.


oh now i get it .... i assumed that the numbers that overlapped were only counted once.... thanks :-D
Re: Set D is a new set created by combining all the terms of...   [#permalink] 03 Mar 2014, 03:54
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