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finding the mean based on percentages

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by bullshark » Thu Jun 18, 2009 3:18 pm
how do you go about solving the following DS problem?

What is the median number of apples per container for the containers at Andy's supermarket?

(1) 25 percent of the containers at Andy's Supermarket have 4 or more apples in each container.
(2) 35 percent of the containers at Andy's Supermarket have 2 or fewer apples in each container.


thanks in advance.
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Source: — Data Sufficiency |
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answer

by bullshark » Thu Jun 18, 2009 3:24 pm
The answer is:
[spoiler] (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.[/spoiler]

but not sure how to get to this solution quickly..
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IMO

by kc_raj » Thu Jun 18, 2009 4:05 pm
>=4 25%
<=2 35%

-> that rest of 40% are 3 (median)
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Re: IMO

by bullshark » Thu Jun 18, 2009 6:15 pm
kc_raj wrote:>=4 25%
<=2 35%

-> that rest of 40% are 3 (median)
that make sense.

I failed to incorporate the proper inequality :
4 or more means either 4 OR greater than 4 i.e. (x >=4)
2 or less means either 2 OR less than 2 i.e. (x<=2) in my original assessment.
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by BlindVision » Thu Jun 18, 2009 11:02 pm
Nice solution, KC!
Life is a Test
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