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What is the median of the set with 9 positive integers. 1)

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Senior Manager
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What is the median of the set with 9 positive integers. 1) [#permalink] New post 08 Apr 2004, 16:49
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What is the median of the set with 9 positive integers.
1) mean of 4 smallest ones is 150
2) mean of 4 largest ones is 500
Senior Manager
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 [#permalink] New post 09 Apr 2004, 05:22
Anybody care to explain........Thanks!!
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 [#permalink] New post 22 May 2004, 03:46
try to explain this. anand/halle?
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 [#permalink] New post 31 May 2004, 18:45
Praetorian wrote:
try to explain this. anand/halle?


1. tells you that 4 smallest numbers in a set of 9 numbers have a mean of 150. that tells you nothing of number #5, which is the number you want to find to get to median.
2. same reasoning applies for this point
both points give you the following in simplified terms:
150, 150, 150, 150, x, 500, 500, 500, 500

x could be any number between 151 and 499, hence median is uknown.
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 [#permalink] New post 01 Jun 2004, 11:13
Adding to Lastochka,

A. Statement tells mean of 4 small numbers is 150.

These 4 numbers can be and not limited to
100,125,175,200
150,150,150,150
0,0,300,300
-150,0,150,600

I mean it could be just about anything

Similarly

B. tells mean of 4 large numbers is 500

ie, these numbers can be 500,500,500,500
250,250,500,1000
-250,0,0,1250

Even combing both A and B we can at the most say that
150 >= Median (5th Number) <= 500

To find the median we have to arrange the numbers from lower to higher in that order.. and there is no way to arrange them. Additionally, the median of 9 numbers must be any of these numbers from the first or second set or can also be a completely new 5 number that falls between these two sets.

So the answer is E.
  [#permalink] 01 Jun 2004, 11:13
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