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# If the average (arithmetic mean) of 5 positive temperatures

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Intern
Joined: 25 Aug 2005
Posts: 46
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If the average (arithmetic mean) of 5 positive temperatures [#permalink]  14 Oct 2005, 11:43
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A. 6x
B. 4x
C. 5x/3
D. 3x/2
E. 3x/5
VP
Joined: 22 Aug 2005
Posts: 1120
Location: CA
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Kudos [?]: 48 [0], given: 0

B.

Sum of all 5 temperatues = 5*x

(A) out > 5x
(B) possible

(C) through (E) if we find out sum of "remaining" 2 temperatures. It comes out to be greater than sub of 3 given.
Senior Manager
Joined: 02 Oct 2005
Posts: 297
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Kudos [?]: 8 [0], given: 0

Since average is x, the sum is 5x. If we consider the lowest for the first 2 temperatures then is should be 1 & 1. So the greatest sum for the 3 high temperatures is: 5x - 2.

A is impossible

B,C,D & E are possible. However, C,D,E are less than B.

Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
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Kudos [?]: 186 [0], given: 2

just pick numbers

1+2+3+4+5=15/5=3

so x=3, then the sum of 3+4+5=12

so 4X=12...B it is..
Director
Joined: 21 Aug 2005
Posts: 793
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Kudos [?]: 10 [0], given: 0

For Max, the sum of 3 readings should be as close to 5x as possible, yet < 5x (as the other two readings are positive.)
From the choices co-efficient 4 is the greatest that is less than 5.

So B
SVP
Joined: 28 May 2005
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Location: Dhaka
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Kudos [?]: 76 [0], given: 0

o is positive. so the if the 2 lowest temperature is 0 degrees, then the the average of 3 highest temperature is 5x/3.

_________________

hey ya......

VP
Joined: 22 Aug 2005
Posts: 1120
Location: CA
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Kudos [?]: 48 [0], given: 0

nakib77 wrote:
o is positive. so the if the 2 lowest temperature is 0 degrees, then the the average of 3 highest temperature is 5x/3.

o is neither negative nor positive.
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