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# M70-38

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
M70-38  [#permalink]

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04 Sep 2018, 02:40
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Difficulty:

25% (medium)

Question Stats:

100% (01:39) correct 0% (00:00) wrong based on 5 sessions

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The integer $$x$$ was added to the sequence 4, 4, 9, 11, 14, 15. Is $$x$$ the median?

(1) $$9 \leq x \leq 11$$

(2) After the addition, the average of the sequence is 10.

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Math Expert
Joined: 02 Sep 2009
Posts: 49300
Re M70-38  [#permalink]

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04 Sep 2018, 02:40
Official Solution:

We’ll go for LOGICAL because that is our first choice in Data Sufficiency.

We’ll begin by looking at the sequence and checking which integers, when added, can be medians: 9, 10 and 11 all work. (1) tells us $$x$$ is definitely one of these numbers, and thus it must be the median. (B), (C) and (E) are eliminated. (2) Using the average, we’d be able to find $$x$$ ($$\frac{previous \ sum + x}{7}$$), and thus we’d be able to tell whether $$x$$ is the median. (A) is eliminated.

Answer: D
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Re M70-38 &nbs [#permalink] 04 Sep 2018, 02:40
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# M70-38

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