Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Set S consists of 5 values, not necessarily in ascending [#permalink]

Show Tags

12 Dec 2012, 13:36

7

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

35% (02:08) correct
65% (00:59) wrong based on 163 sessions

HideShow timer Statistics

Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?

(A) Zero (B) One (C) Two (D) Three (E) More than three

Re: Set S consists of 5 values, not necessarily [#permalink]

Show Tags

12 Dec 2012, 23:15

2

This post received KUDOS

1

This post was BOOKMARKED

mun23 wrote:

Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S? (A)0 (B)1 (C)2 (D)3 (E)More than 3

Need details explanation.............

There could be 3 medians of this set. 8 , when x <8 x , when 8<=x<=12 and 12, when x>12

There could be 1 mean = (40+x)/5

Now, we can solve (40+x)/5 = 8 , x, 12 to find out values.. and if valid values are found that solution counts. We get x= 0 ,10, 20. Hence 3 solutions.

Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?

(A) Zero (B) One (C) Two (D) Three (E) More than three

Re: Set S consists of 5 values, not necessarily in ascending [#permalink]

Show Tags

14 Dec 2012, 01:12

@vips and @bunuel: Since mean and median are the same for evenly spaced sets, so to make the entire set an evenly spaced set x can be made either 0 or 20. Can this concept be used to find x=10 as the mean and median?
_________________

Re: Set S consists of 5 values, not necessarily in ascending [#permalink]

Show Tags

14 Dec 2012, 01:22

3

This post received KUDOS

Marcab wrote:

@vips and @bunuel: Since mean and median are the same for evenly spaced sets, so to make the entire set an evenly spaced set x can be made either 0 or 20. Can this concept be used to find x=10 as the mean and median?

Actually that (such numbers) could be a trap in this question.

You might remember - If set is evenly spaced then for sure mean=median But, if mean=median, it doesnt mean that set is evenly spaced. It may or may not be.

So, if we make x=0 and x=20, and find mean and median =10. We are pratically limiting our scope only to evenly spaced sets. And thus we get a few solutions-but not all.

We still need to look for solution for the other case where set is not evenly spaced. (Also x=10 doesnt give u an evenly spaced set.. so concept cant be applied directly, it would be more evident if the number of elements in set is even).

One easy concept that u can use though is, if median =mean then numbers in the set will be symmetrical around median. Why it helps is that finding median is usually very simple,without calculation.
_________________

Re: Set S consists of 5 values, not necessarily in ascending [#permalink]

Show Tags

09 Sep 2014, 15:13

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: Set S consists of 5 values, not necessarily in ascending [#permalink]

Show Tags

11 Jun 2016, 23:24

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Re: Set S consists of 5 values, not necessarily in ascending [#permalink]

Show Tags

23 Aug 2016, 03:13

Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?

(A) Zero (B) One (C) Two (D) Three (E) More than three

Mean = 8+x/5

x<=4 median =8

x >8 & x<12 median = X

8+x/5 =X x=10

x>12 8+x/5 =12 x=20

So 3

gmatclubot

Re: Set S consists of 5 values, not necessarily in ascending
[#permalink]
23 Aug 2016, 03:13

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...