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# The mean of the set of the positive integers {4, 4, 5, 5, 6, x} is x^2

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Math Expert
Joined: 02 Sep 2009
Posts: 51121
The mean of the set of the positive integers {4, 4, 5, 5, 6, x} is x^2  [#permalink]

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03 Oct 2018, 23:26
00:00

Difficulty:

45% (medium)

Question Stats:

61% (01:37) correct 39% (02:17) wrong based on 22 sessions

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The mean of the set of the positive integers {4, 4, 5, 5, 6, x} is x^2/2. What is the range of the above set of integers?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

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Re: The mean of the set of the positive integers {4, 4, 5, 5, 6, x} is x^2  [#permalink]

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03 Oct 2018, 23:35
Bunuel wrote:
The mean of the set of the positive integers {4, 4, 5, 5, 6, x} is x^2/2. What is the range of the above set of integers?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

Mean = Sum $${4, 4, 5, 5, 6, x} / 6 = (24+x)/6 = x^2/2$$

i.e. $$24+x = 3x^2$$

i.e. $$x(3x-1) = 24$$

i.e. $$x = 3$$

I.e. range = Highest value - Lowest value = 6-3 = 3

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Re: The mean of the set of the positive integers {4, 4, 5, 5, 6, x} is x^2 &nbs [#permalink] 03 Oct 2018, 23:35
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