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The average of five positive integers is less than 20. What

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The average of five positive integers is less than 20. What [#permalink] New post 29 Oct 2017, 04:06
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The average of five positive integers is less than 20. What is the smallest possible median of this set?

(A) 19

(B) 10

(C) 4

(D) 3

(E) 1

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Re: The average of five positive integers is less than 20. What [#permalink] New post 30 Oct 2017, 09:47
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The mean must be less than 20 but it is not said how small it could be. This means that the 5 numbers can be 1,1,1,1,2, such that their mean is 1.2 < 20 and the median is 1. Thus, the smallest value of the median is 1.

Answer E
Re: The average of five positive integers is less than 20. What   [#permalink] 30 Oct 2017, 09:47
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The average of five positive integers is less than 20. What

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