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01 Feb 2017, 03:39
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55% (01:19) correct
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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.
(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.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
02 Feb 2017, 10:40
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Bunuel
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.
(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
Answer: E
Aside: For more on this idea of plugging in values when a statement doesn't FEEL sufficient, you can read my article: https://www.gmatprepnow.com/articles/dat ... lug-values
Cheers,
Brent
19 Feb 2017, 03:59
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Bunuel
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.(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.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
