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# M12 Q14

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Manager
Joined: 13 May 2010
Posts: 122

Kudos [?]: 24 [0], given: 4

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01 Jul 2012, 06:14
If the mean of set $$S$$ is 20, what is the median of set $$S$$ ?

In set $$S$$ there are as many numbers larger than 20 as there are numbers smaller than 20.
All numbers in set $$S$$ are even integers.

I used number testing to solve this problem but took me a really long time to figure out the right set of numbers. Can someone please suggest how to quickly come up with the right type of sets (numbers to be tested) for such problems.

This problem took me more than 3 minutes to solve, does anyone know some quick method to solve it or strategic guess?

Last edited by teal on 05 Jul 2012, 19:14, edited 1 time in total.

Kudos [?]: 24 [0], given: 4

Manager
Affiliations: Project Management Professional (PMP)
Joined: 30 Jun 2011
Posts: 194

Kudos [?]: 84 [1], given: 12

Location: New Delhi, India
Re: M12 Q14 [#permalink]

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02 Jul 2012, 04:59
1
KUDOS
teal wrote:
If the mean of set $$S$$ is 20, what is the median of set $$S$$ ?

In set $$S$$ there are as many numbers larger than 20 as there are numbers smaller than 20.
All numbers in set $$S$$ are even integers.

I used number testing to solve this problem but took me a really long time to figure out the right set of numbers. Can someone please suggest how to come up with the right type of sets (numbers to be tested) for such problems.

The set may or may not contain negative numbers.. hence E
_________________

Best
Vaibhav

If you found my contribution helpful, please click the +1 Kudos button on the left, Thanks

Kudos [?]: 84 [1], given: 12

Manager
Joined: 13 May 2010
Posts: 122

Kudos [?]: 24 [0], given: 4

Re: M12 Q14 [#permalink]

### Show Tags

05 Jul 2012, 19:18

Kudos [?]: 24 [0], given: 4

Re: M12 Q14   [#permalink] 05 Jul 2012, 19:18
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# M12 Q14

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