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# For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8

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Manager
Joined: 02 Dec 2012
Posts: 178
For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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07 Dec 2012, 06:38
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For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median?

(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39698
Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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07 Dec 2012, 06:42
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For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median?

(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3

Given set in ascending order is {n, n+1, n+2, n+4, n+8}.

$$Mean=\frac{n+(n + 1)+(n + 2)+(n + 4)+(n + 8)}{5}=n+3$$;

$$Median=middle \ term=n+2$$;

$$Difference=(n+3)-(n+2)=1$$.

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Posts: 15982
Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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21 Dec 2013, 22:29
Hello from the GMAT Club BumpBot!

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Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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19 Jun 2014, 12:07
Let's say n=2 than the set looks like this (2,3,4,6,10). The Average = 25/5=5 and the median is equal to 4 --> 5-4=1 (B)
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Manager
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Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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19 Jun 2014, 13:16
1
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I did it similar to BrainLab .

plug in numbers, 1 for n.

mean = 1+2+3+5+9/5 = 20/5 = 4

median = 3

difference = 1

Plugin 2 for n

mean = 2+3+4+6+10/5 = 25/5 = 5

median = 4

difference = 1.
Manager
Joined: 07 Apr 2014
Posts: 141
Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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11 Sep 2014, 10:32
1
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For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median?

(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3

if n=1 then 1, 2, 3, 5, 9

3 = median

mean = 20 / 5 = 4

difference =1
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Location: India
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Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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30 Sep 2014, 23:11
$$Mean = \frac{5n+15}{3} = n+3$$

Median = n+2

Difference = 1

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Posts: 15982
Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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12 Jan 2016, 17:35
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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09 Jun 2016, 14:04
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Expert's post
For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median?

(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3

Let’s first calculate the mean (arithmetic average).

mean = sum/quantity

mean = (n + n + 1 + n + 2 + n + 4 + n + 8)/5

mean = (5n + 15)/5

mean = n + 3

Next, we determine the median. The median is the middle value when the terms are ordered from least to greatest. The terms ordered from least to greatest are as follows:

n, n + 1, n + 2, n + 4, n + 8

The median is n + 2.

Finally we are asked how much greater the mean is than the median. To determine the difference we can subtract the smaller value (the median) from the larger value (the mean) and we get:

n + 3 – (n + 2) = n + 3 – n – 2 = 1

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Director
Joined: 02 Sep 2016
Posts: 526
Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8 [#permalink]

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01 Apr 2017, 09:24
For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median?

(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3

Mean=[5(n+3)]/5= n+3

Median is the 3rd terms (n+2)

Mean-Median= n+3-n-2=1
Re: For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8   [#permalink] 01 Apr 2017, 09:24
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