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Set S is comprised of six distinct positive integers less

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Set S is comprised of six distinct positive integers less [#permalink] New post 29 Oct 2017, 04:03
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Question Stats:

66% (00:23) correct 33% (01:39) wrong based on 3 sessions
Set S is comprised of six distinct positive integers less than 10. Which of the following must be true?

I: The median is an integer

II: The median is less than the average

III: The range of digits in Set S is less than 8



(A) I only

(B) I & II

(C) II & III

(D) III only

(E) None of the above.

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[Reveal] Spoiler: OA
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Re: Set S is comprised of six distinct positive integers less [#permalink] New post 30 Oct 2017, 09:43
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Let's check each choice one by one:

I. Since there are six integers, the median is the mean of the two central values which may be both an integer (if the two numbers are equal) or a fraction (if the numbers are different)

II. To know if the median is less than the average we should know the numbers in the set. Indeed, it can be the case but also the opposite or they can even be equal

III. The range could be 8 is the lowest number is 0 and the largest is 8, thus it is not necessarily less than 8

Answer E
Re: Set S is comprised of six distinct positive integers less   [#permalink] 30 Oct 2017, 09:43
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Set S is comprised of six distinct positive integers less

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