[email protected] wrote:In this question, im not clear why we cant take 4 as X in that case wont the median be 3?
Thanks
Eliminate the four answer choices that COULD be the median.
2, 2, 5, 9 --> median = (2+5)/2 = 3.5.
Eliminate B.
2, 3, 5, 9 --> median = (3+5)/2 = 4.
Eliminate C.
2, 5, 5, 9 --> median = (5+5)/2 = 5.
Eliminate D.
2, 5, 8, 9 --> median = (5+8)/2 = 6.5.
Eliminate E.
The correct answer is
A.
Of the 3 given values -- 2, 5, and 9 -- the average of the two smallest = (2+5)/2 = 3.5.
Implication:
The median cannot be less than 3.5.
To illustrate:
The least possible value for X is 1.
If X = 1, then the set becomes {1, 2, 5, 9}, in which case the median = (2+5)/2 = 3.5.
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