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

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

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New post Updated on: 06 May 2015, 22:59
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Question Stats:

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

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New post 28 Apr 2015, 08:44
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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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Re: What is the median of a set of consecutive integers if the sum of  [#permalink]

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New post 07 Jun 2016, 00:21
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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.

C is the answer.
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Re: What is the median of a set of consecutive integers if the sum of  [#permalink]

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New post 29 Jul 2018, 21:26
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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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