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# Which of the following is equal to the average (arithmetic

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Which of the following is equal to the average (arithmetic [#permalink]  16 Jun 2012, 19:42
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Difficulty:

15% (low)

Question Stats:

85% (01:30) correct 15% (00:40) wrong based on 54 sessions
Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-2)^2?

A. x^2
B. x^2+2
C. x^2 +4
D. x^2+2x
E. x^2+4x
[Reveal] Spoiler: OA
Intern
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WE: Project Management (Computer Software)
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Re: which of the following is equal avg (x+2)^2 and (x-2)^2 [#permalink]  16 Jun 2012, 20:42

Avg = [(x+2)^2 + (x-2)^2] / 2

Expanding and simplifying, (x^2 + 4x + 4 + x^2 - 4x + 4 ) / 2 = x^2 + 4
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Re: which of the following is equal avg (x+2)^2 and (x-2)^2 [#permalink]  16 Jun 2012, 20:55
jsphcal wrote:
which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-2)^2?

A) x^2
B) x^2+2
C) x^2 +4
D)x^2+2x
E)x^2+4x

this was taken from a powerprep question

Hi,

$$\frac{(x+2)^2 + (x-2)^2}2$$
$$=\frac{(x^2+2x+4) + (x^2-2x+4)}2$$
$$=x^2+4$$

Regards,
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My posts: Solving Inequalities, Solving Simultaneous equations, Divisibility Rules

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Re: Which of the following is equal to the average (arithmetic [#permalink]  17 Jun 2012, 09:21

The arithmetic mean is the sum of the elements divided by the number of elements.
Re: Which of the following is equal to the average (arithmetic   [#permalink] 17 Jun 2012, 09:21
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