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A set includes following number: 2, 4, 8 ,10 ,12, and X. [#permalink]
 03 Oct 2004, 10:08
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A set includes following number: 2, 4, 8 ,10 ,12, and X. What is the value of x?
(1) median and mean of the set is the same
(2) x <> 16
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Manager
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What's the symbol in statement B for ??
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Franky
http://franky4gmat.blogspot.com
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Even I didnt get what X<> stands for.
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Senior Manager
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I think <> means "not equal to"
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I don't think that would account for anything in this problem...probably a < or a > and both were used mistakenly.
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Franky
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The answer is C is stem 2 reads X<16 or >16 (either one of them).
Else E (if <> means NOT equal to)
per 1), we have two possibilities...
(x+10)/2 = (36+x)/6 => x= 13
or
(8+10)/2 = (36+x)/6 => x= 18. Two possibilities, thus insuff.
2) is clearly insuff.
Both combined, as mentioned earlier will be C or E.
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Manager
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Sorry, that was meant to say < 16.
Venksune, I think the 1st eqn should:
(8+x)/2 = (36+x)/6 ...... which gives x as 7.
Either way, wont change the answer !
C is the OA
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Director
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I am sorry guys I do not understand how you assess the median here ??
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Where did you get the OA for this question? I mean it's from the real thing..I had this question. My answer is E.
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If X < 16, then it will be difficult to know its value given the two information. because the changing value of X would give us different median and therefore I would go for E. It is only when is X is greater than 16, that
(36 + x)/6 = 9, and x = 18
I would go for E, given the information you have provided
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