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A set of 15 different integers has median of 25 and a range

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Re: A set of 15 different integers has median of 25 and a range  [#permalink]

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New post 19 Jan 2018, 14:39
So does that mean that this set does not contain any -ve integers? I am assuming it can not but why?
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Re: A set of 15 different integers has median of 25 and a range  [#permalink]

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New post 19 Jan 2018, 19:22
Hi Rocket7,

The question tells us that the RANGE of the numbers is 25... and asks us to find the largest POSSIBLE integer that could be in the set. If you look at the five answer choices - and then subtract 25 from each, you'll see that the SMALLEST number that would correspond to each of those answers would be a positive integer. Thus, the set CANNOT contain any negative numbers.

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Re: A set of 15 different integers has median of 25 and a range  [#permalink]

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New post 19 Jan 2018, 20:44
Rocket7 wrote:
So does that mean that this set does not contain any -ve integers? I am assuming it can not but why?


The set cannot have negative integers because of the given data points.
The median is 25 so the middle element is 25.
The range is 25 so greatest - smallest = 25
We know that 25 is there in the set so the smallest element can certainly not be less than 0 since the range of the entire set is 25.
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Re: A set of 15 different integers has median of 25 and a range  [#permalink]

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New post 20 Feb 2018, 23:21
bhushangiri wrote:
A set of 15 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?

I missed "different" here and so, assumed the first 8 integers to be 25, and arrived at the highest number as 50:(.
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Re: A set of 15 different integers has median of 25 and a range &nbs [#permalink] 20 Feb 2018, 23:21

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