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15 Aug 2019, 00:49
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (00:54) correct
16%
(01:15)
wrong
based on 80
sessions
History
Date
Time
Result
Not Attempted Yet
l, 17.2, 12.2, 7.2, 22.2
What is the value of l in the list above?
(1) l > 7.2
(2) The median of the numbers in the list is 14.7.
What is the value of l in the list above?
(1) l > 7.2
(2) The median of the numbers in the list is 14.7.
15 Aug 2019, 06:56
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We have a list of 5 things. In any list containing an odd number of things, the median must belong to the list. Statement 2 tells us the median is 14.7, so 14.7 must be in the list somewhere, and since it's not equal to one of the four numbers we know, it must be equal to the one number l that we don't know. So Statement 2 is sufficient alone and since Statement 1 is not useful, the answer is B.
12 Sep 2019, 01:42
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Bunuel
l, 17.2, 12.2, 7.2, 22.2
What is the value of l in the list above?
(1) l > 7.2
(2) The median of the numbers in the list is 14.7.
What is the value of l in the list above?
(1) l > 7.2
(2) The median of the numbers in the list is 14.7.
Official Explanation
We're given a list here. It's not necessarily a meaningful group of numbers unless we are told so. They are not in order, we can see. And the fact they all end in .2 doesn't necessarily mean anything. There are a few typical types of question about lists on the GMAT; we might have to compute an average of the numbers, by which we mean their mean, or their mode or median, or their standard deviation. It turns out we just want the value of l, which may or may not be smallest in the list. Moving on to the statements, separately first. Statement (1) doesn't give us enough information: l could be almost anything. Insufficient. Statement (2) gives more information, since we have a median. If we put the list elements in order, we get
7.2, 12.2, 15.2, 22.2
We can see that l has to be right in the middle, so it can be the median. Since we have an odd number of elements, including l, the median is simply the middle number, and since that is 14.7 and is not otherwise represented, we must have l = 14.7. Statement (2) is sufficient.
The correct answer is (B).
