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# What is the median of a set of consecutive integers if the sum of

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Manager
Joined: 22 Apr 2015
Posts: 63
What is the median of a set of consecutive integers if the sum of  [#permalink]

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Updated on: 06 May 2015, 22:59
13
00:00

Difficulty:

15% (low)

Question Stats:

77% (01:27) correct 23% (01:43) wrong based on 186 sessions

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What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 100?

A. 10
B. 25
C. 50
D. 75
E. 100

This question is a part of the series of original questions posted by PrepTap. Follow us to receive more questions like this.

Originally posted by PrepTap on 28 Apr 2015, 07:29.
Last edited by PrepTap on 06 May 2015, 22:59, edited 1 time in total.
Director
Joined: 07 Aug 2011
Posts: 538
GMAT 1: 630 Q49 V27
Re: What is the median of a set of consecutive integers if the sum of  [#permalink]

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28 Apr 2015, 08:44
2
Surprisingly no one answered this easy one.

property of a set of consecutive integerz.

mean=median=(first element+last element)/2 = (second element+last but one element)/2 =(third element+ third last element)/2 Etc. Etc.

So mean=median=100/2=50
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Senior Manager
Joined: 18 Jan 2010
Posts: 252
Re: What is the median of a set of consecutive integers if the sum of  [#permalink]

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07 Jun 2016, 00:21
1
1
PrepTap wrote:
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 100?

A. 10
B. 25
C. 50
D. 75
E. 100

This question is a part of the series of original questions posted by PrepTap. Follow us to receive more questions like this.

nth term from start: a+ (n-1) [ common difference is 1]; a is the first term.

nth term from end: l+(n-1) (-1) [here common difference would be -1]; l is the last term.

(a+n-1) + (l-n+1) = a+ l = 100.

In case of consecutive integers or an AP.

Mean = median = 0.5 * (First term+ Last term) = 0.5 * 100 = 50.

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Posts: 9121
Re: What is the median of a set of consecutive integers if the sum of  [#permalink]

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29 Jul 2018, 21:26
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: What is the median of a set of consecutive integers if the sum of &nbs [#permalink] 29 Jul 2018, 21:26
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