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# What is the maximum possible value of the mean of three distinct singl

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Math Expert
Joined: 02 Sep 2009
Posts: 56275
What is the maximum possible value of the mean of three distinct singl  [#permalink]

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21 Dec 2017, 03:56
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Difficulty:

15% (low)

Question Stats:

89% (00:41) correct 11% (00:23) wrong based on 32 sessions

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What is the maximum possible value of the mean of three distinct single digit integers?

A. 6
B. 7
C. 8
D. 8.5
E. 9

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What is the maximum possible value of the mean of three distinct singl  [#permalink]

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21 Dec 2017, 06:19
Bunuel wrote:
What is the maximum possible value of the mean of three distinct single digit integers?

A. 6
B. 7
C. 8
D. 8.5
E. 9

Mean of Of single digit integers will be maximum when the numbers are greatest possible i.e. 7,8,9 in this case

Mean of the numbers in Arithmetic progression = Median of The numbers = 8 in this case

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Re: What is the maximum possible value of the mean of three distinct singl  [#permalink]

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21 Dec 2017, 11:12
Bunuel wrote:
What is the maximum possible value of the mean of three distinct single digit integers?

A. 6
B. 7
C. 8
D. 8.5
E. 9

Since we're asked for the maximal value, we'll look at the extremes of the range.
This is a Logical approach.

We'll get the maximum average when we use the maximal possible integers: 7,8 and 9.
Then the mean is (7+8+9)/3 = 24/3 = 8.

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Re: What is the maximum possible value of the mean of three distinct singl   [#permalink] 21 Dec 2017, 11:12
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