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# What is the average (arithmetic mean) height of the n people

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Manager
Joined: 28 Jun 2008
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What is the average (arithmetic mean) height of the n people [#permalink]  13 Jun 2009, 10:07
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Hi guys was wondering if anyone could offer a good method for this problem:

What is the average (arithmetic mean) height of the n people in a certain group?

(1) The average height of the n/3 tallest people in the group is 6 feet 2 1/2 inches, and the average height of the rest of the people in the group is 5 feet 10 inches.

(2) The sum of the heights of the n people is 178 feet 9 inches.

Current Student
Joined: 13 Jan 2009
Posts: 374
Location: India
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Re: Average problem [#permalink]  12 Jul 2009, 11:33
A is suff as

Total height=n/3*6 f 2.5 i +2n/3*5f 10 in

Aver height= total height/number of people

n will cancel out and you will have desired result.
Manager
Joined: 07 Apr 2009
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Re: Average problem [#permalink]  13 Jul 2009, 06:51
since this is a DS qn, you dont even have to worry abt inches..just work with feet and see if you can get one single value with out any variable.

Quote:
1) The average height of the n/3 tallest people in the group is 6 feet 2 1/2 inches, and the average height of the rest of the people in the group is 5 feet 10 inches.

A = S /N, S = AN
S= 2N && S= 10/3N

2N+ 10/3N
------------
N you get one value hence A.

B is tempting but you can leave N there. A= 178/N. going no where with out N.
Re: Average problem   [#permalink] 13 Jul 2009, 06:51
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