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Median price of the three houses

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Junior | Next Rank: 30 Posts
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by bharathaitha » Thu Oct 23, 2008 4:44 am
Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of three houses was $120,000. What was the median price of the three houses?

1. The price of Tom's house was $110,000
2. The price of Jane's house was $120,000
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Source: — Data Sufficiency |
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Re: Median price of the three houses

by drpawan » Thu Oct 23, 2008 6:00 am
bharathaitha wrote:Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of three houses was $120,000. What was the median price of the three houses?

1. The price of Tom's house was $110,000
2. The price of Jane's house was $120,000
Here is my way:

Statement 1 --> (Given) mean(T+J+S) = 120k => T+J+S = 360k
as per stmt1, T=110k and here goes possible chances:
T J S Median
110 110 140 110
110 115 135 115
110 120 130 120 and so on..
Hence we cannot conclude the median..so this is insufficient.

Statement 2 --> Same this time with J..
T J S Median
115 120 125 120
119 120 121 120
120 120 120 120
So if T decreases, S increases, but J remains constant and so as the median. So this is sufficient.

My ans is B
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by stop@800 » Thu Oct 23, 2008 6:16 am
I am also with B
since from B, its sure that one will be less than 120K and another greater than 120K
hence median will be 120K
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by rohangupta83 » Thu Oct 23, 2008 2:37 pm
or all 3 of them are 120K

hence B
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