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

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Manager
Joined: 17 Aug 2005
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What is the average (arithmetic mean) height of the n people [#permalink]  10 Oct 2005, 11:15
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What is the average (arithmetic mean) height of the n people in a certain group?

(i) 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
(ii) The sum of th eheights of the n people is 178 feet 9 inches.
Senior Manager
Joined: 02 Oct 2005
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Ans: A

Will post the explaination later
VP
Joined: 22 Aug 2005
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Location: CA
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A.

(1)
sum(tallest 1/3) = n/3 * 6.x
sum(remaining 2/3) = 2n/3 * 5.y

Avg (all ) = [sum(1/3) + sum(2/3)] / n

(2) To find Ang we will need value of n.
Senior Manager
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Thanks duttsit. You saved me some of my time
Manager
Joined: 28 Jun 2005
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A for me too

(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.

(6ft 2.5in)(n/3) = sum of n/3 tallest people's heights
(5ft 10in)(2n/3) = sum of other people's heights

to find the overall average, add the two sums:

([2(5ft 10in)+(6ft 2.5in)]n)/3

when you're calculating the average, you divide by n which takes care of the only variable in the eq'n

(2) the value for n is needed
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