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# Tom, Jane, and Sue each purchased a new house. The average

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Manager
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Tom, Jane, and Sue each purchased a new house. The average [#permalink]  10 Oct 2005, 21:03
Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses? (1) The price of Tomâ€™s house was$110,000.
(2) The price of Janeâ€™s house was \$120,000.
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[#permalink]  10 Oct 2005, 21:32
Ans is C

Both combined together would give median (120,000)
Manager
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[#permalink]  10 Oct 2005, 21:32
We need both the statements to arrive at median.

Given only one price and average would only give us combined price of other two that can affect the median price.
Director
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[#permalink]  10 Oct 2005, 21:34
B

1. T=110K: J,S = 150,100 -> med T -or- J,S = 120,130-> med J
2. J=120K
=> T+S=120K,
Either T=K=S => med = 120 or T>J>S or T<J<S
In any case, median is 120K
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[#permalink]  10 Oct 2005, 21:47
Oops. I fell for the trap. Thanks for correcting gsr.
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[#permalink]  11 Oct 2005, 04:50
gsr wrote:
B

1. T=110K: J,S = 150,100 -> med T -or- J,S = 120,130-> med J
2. J=120K
=> T+S=120K,
Either T=K=S => med = 120 or T>J>S or T<J<S
In any case, median is 120K

Agree. B is sufficient to calculate the median. Good trap question.
_________________

Cheers, Rahul.

[#permalink] 11 Oct 2005, 04:50
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# Tom, Jane, and Sue each purchased a new house. The average

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