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

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Math Expert
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Joined: 02 Sep 2009
Posts: 48117
What is the maximum possible value of the mean of three distinct singl  [#permalink]

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New post 21 Dec 2017, 03:56
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

84% (00:32) correct 16% (00:04) wrong based on 25 sessions

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Posts: 2139
Location: India
GMAT: INSIGHT
WE: Education (Education)
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What is the maximum possible value of the mean of three distinct singl  [#permalink]

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New post 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


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

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New post 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.

(C) is our answer.
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Re: What is the maximum possible value of the mean of three distinct singl &nbs [#permalink] 21 Dec 2017, 11:12
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