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Re: Mean median average [#permalink]
21 Feb 2011, 13:43
This post was BOOKMARKED
Given distinct positive integers 1, 11, 3, x, 2, and 9, which of the following could be the median?
3 5 7 8 9
Can some please explain the concept behind solving such a question.
The median of a set with even number of terms is the average of two middle terms when arranged in ascending (or descending) order.
Arrange numbers in ascending order: 1, 2, 3, 9, 11, and x.
Now, x can not possibly be less than 3 as given that all integers are positive and distinct (and we already have 1, 2, and 3).
Next, if x is 3<x<9 then the median will be the average of 3 and x. As all answers for the median are integers, then try odd values for x: If x=5, then median=(3+5)/2=4 --> not among answer choices; If x=7, then median=(3+7)/2=5 --> OK;
P.S. If x is more than 9 so 10 or more then the median will be the average of 3 and 9 so (3+9)/2=6 (the maximum median possible). _________________
Re: Given distinct positive integers 1, 11, 3, x, 2, and 9, whic [#permalink]
11 Nov 2014, 04:25
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