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# If Set B has 12 numbers, is the median of this set equal to the mean?

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If Set B has 12 numbers, is the median of this set equal to the mean?  [#permalink]

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01 Feb 2017, 03:39
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If Set B has 12 numbers, is the median of this set equal to the mean?

(1) The largest number of Set B is 50.
(2) Each distinct number in Set B, but one, is obtained by adding 3 to another member in the set.

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Re: If Set B has 12 numbers, is the median of this set equal to the mean?  [#permalink]

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02 Feb 2017, 10:40
Top Contributor
Bunuel wrote:
If Set B has 12 numbers, is the median of this set equal to the mean?

(1) The largest number of Set B is 50.
(2) Each distinct number in Set B, but one, is obtained by adding 3 to another member in the set.

Target question: Is the median of this set equal to the mean?

ASIDE: There's a nice rule that says, "In a set where the numbers are equally spaced, the mean will equal the median."
For example, in each of the following sets, the mean and median are equal:
{7, 9, 11, 13, 15}
{-1, 4, 9, 14}
{3, 4, 5, 6}

Given: Set B has 12 numbers

Neither statement FEELS sufficient, so I'll jump straight to...

Statements 1 and 2 combined
There are several cases that satisfy BOTH statements yet yield conflicting answers to the target question. Here are two such cases:
Case a: Set B = {17, 20, 23, 26, 29, 32, 35, 38, 41, 44, 47, 50}, in which case the median of set B EQUALS the mean
Case b: Set B = {47, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50, 50}, in which case the median of set B does NOT equal the mean

Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't FEEL sufficient, you can read my article: http://www.gmatprepnow.com/articles/dat ... lug-values

Cheers,
Brent
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Brent Hanneson – GMATPrepNow.com

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Re: If Set B has 12 numbers, is the median of this set equal to the mean?  [#permalink]

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19 Feb 2017, 03:59
Bunuel wrote:
If Set B has 12 numbers, is the median of this set equal to the mean?

(1) The largest number of Set B is 50.
(2) Each distinct number in Set B, but one, is obtained by adding 3 to another member in the set.

Could any of the experts explain how statement B is sufficient.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: If Set B has 12 numbers, is the median of this set equal to the mean? &nbs [#permalink] 19 Feb 2017, 03:59
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# If Set B has 12 numbers, is the median of this set equal to the mean?

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