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# The rain fall from Jan to Dec are recorded. The rainfall for

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The rain fall from Jan to Dec are recorded. The rainfall for [#permalink]

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24 Nov 2004, 08:52
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The rain fall from Jan to Dec are recorded. The rainfall for Jan is 0.2 and Dec is 12.2. The arithmetic mean for all 12 months is 3.5. What is the largest possible value for the median?
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24 Nov 2004, 09:09
I get 4.9333333333

The total rainfall for the year is 42. If 4 months have 0 rainfall, and Jan + Dec have 12.4, there is 29.6 for the other 6 months. If each of these get an equal share: 4.933333333
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24 Nov 2004, 09:43
If there are 12 readings, the median will be the average of 6th and 7th reading? Also, we can assume that there are 5 months with no rain?

So that leaves 29.6 to be shared between 5 months, which is 5.92 per month.

0, 0, 0, 0, 0, 0.2, 5.92, 5.92, 5.92, 5.92, 5.92, 12.2

So median is (0.2+5.92)/2 = 3.06
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24 Nov 2004, 10:15
karovd,

why not only 4 months with no rain, it gives you a higher median:

0, 0, 0, 0, 0.2, 4.933, 4.933, 4.933, 4.933, 4.933, 4.933, 12.2

months 6 and 7 in terms of rainfall get 4.933 and the median is that number, which is higher than 3.06
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24 Nov 2004, 10:45
4.8
http://www.gmatclub.com/phpbb/viewtopic.php?t=11556
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Best Regards,

Paul

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24 Nov 2004, 21:06
click on the link karovd. I just noticed that the question in the link is slightly different but did you copy that question word for word? I think the question in the link is the right one because you will certainly not get such an odd number as answer.
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Best Regards,

Paul

24 Nov 2004, 21:06
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