Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Oct 2014, 09:23

Close

GMAT Club Daily Prep

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

m08#23

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Current Student
avatar
Joined: 28 Dec 2004
Posts: 3403
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 13

Kudos [?]: 164 [0], given: 2

m08#23 [#permalink] New post 02 Nov 2008, 14:43
Is the mean of a non-empty set S bigger than its median?

1. All members of S are consecutive multiples of 3
2. The sum of all members of S equals 75

[Reveal] Spoiler: OA
A

Source: GMAT Club Tests - hardest GMAT questions

however i think it should be E..

how do we know all the elements in S are positive? what if we have -3, -6, -9, 0, 3, etc?
Kaplan GMAT Prep Discount CodesKnewton GMAT Discount CodesGMAT Pill GMAT Discount Codes
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2500
Followers: 54

Kudos [?]: 512 [0], given: 19

Re: m08#23 [#permalink] New post 02 Nov 2008, 15:43
fresinha12 wrote:
Is the mean of a non-empty set S bigger than its median?

1. All members of S are consecutive multiples of 3
2. The sum of all members of S equals 75

OA is A..

however i think it should be E..

how do we know all the elements in S are positive? what if we have -3, -6, -9, 0, 3, etc?


I think OA is ok.

-9, -6, -3, 0, 3,
sum = -15
mean = -15/5 = -3
median = -3
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

1 KUDOS received
SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1578
Followers: 12

Kudos [?]: 186 [1] , given: 0

Re: m08#23 [#permalink] New post 04 Nov 2008, 22:20
1
This post received
KUDOS
fresinha12 wrote:
Is the mean of a non-empty set S bigger than its median?

1. All members of S are consecutive multiples of 3
2. The sum of all members of S equals 75

OA is A..

however i think it should be E..

how do we know all the elements in S are positive? what if we have -3, -6, -9, 0, 3, etc?



Stmt1 simply says that the members of S are in arithmatic series and hence mean and median will be the same.
Intern
Intern
avatar
Joined: 30 Jan 2010
Posts: 13
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: m08#23 [#permalink] New post 24 Aug 2010, 06:27
Statement 1 : Evenly spaced sets means MEDIAN = MEAN, so ---> sufficient

Statement 2: You are only given the sum of numbers in set, they could be (1, 75) or (1, 5, 70) so, ---> not sufficient.

Answer is A.
Verbal Forum Moderator
Verbal Forum Moderator
avatar
Joined: 31 Jan 2010
Posts: 500
WE 1: 4 years Tech
Followers: 10

Kudos [?]: 73 [0], given: 149

Re: m08#23 [#permalink] New post 24 Aug 2010, 22:57
what if there is an even number of elements in the Set S,For example 27,30,33,36
Mean=31.5
Median=30 or 33
then?
_________________

My Post Invites Discussions not answers
Try to give back something to the Forum.I want your explanations, right now !
Please let me know your opinion about the Chandigarh Gmat Centrehttp://gmatclub.com/forum/gmat-experience-at-chandigarh-india-centre-111830.html

CIO
CIO
avatar
Joined: 02 Oct 2007
Posts: 1218
Followers: 87

Kudos [?]: 691 [0], given: 334

GMAT ToolKit User
Re: m08#23 [#permalink] New post 25 Aug 2010, 00:04
The median will equal the mean then.

Here's a quote from Wikipedia :)
Quote:
If there is an even number of observations, then there is no single middle value; the median is then usually defined to be the mean of the two middle values

mundasingh123 wrote:
what if there is an even number of elements in the Set S,For example 27,30,33,36
Mean=31.5
Median=30 or 33
then?

_________________

Welcome to GMAT Club! :)
Facebook TwitterGoogle+LinkedIn
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?

Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

1 KUDOS received
Intern
Intern
User avatar
Affiliations: Phi Theta Kappa, Dean's list, Chancelors list, Who's Who award, ASCPA
Joined: 16 May 2011
Posts: 25
WE 1: Tax
Followers: 1

Kudos [?]: 4 [1] , given: 7

Re: m08#23 [#permalink] New post 29 Aug 2011, 04:51
1
This post received
KUDOS
Answer: A

Median will equal mean in consecutive integers
Not B because it does give any information about the numbers in question.
Intern
Intern
avatar
Joined: 11 Nov 2009
Posts: 30
Followers: 0

Kudos [?]: 1 [0], given: 1

Re: m08#23 [#permalink] New post 29 Aug 2011, 06:02
A looks good....bu can any one give example of B where Mean is bigger than Median....
Intern
Intern
User avatar
Affiliations: Phi Theta Kappa, Dean's list, Chancelors list, Who's Who award, ASCPA
Joined: 16 May 2011
Posts: 25
WE 1: Tax
Followers: 1

Kudos [?]: 4 [0], given: 7

Re: m08#23 [#permalink] New post 29 Aug 2011, 06:53
gsd85 wrote:
A looks good....bu can any one give example of B where Mean is bigger than Median....



15+2+1/3 = 18/3 = 6

Mean of 6 > Median of 2
Director
Director
avatar
Joined: 21 Dec 2009
Posts: 589
Concentration: Entrepreneurship, Finance
Followers: 15

Kudos [?]: 292 [0], given: 20

Re: m08#23 [#permalink] New post 29 Aug 2011, 07:21
for consecutive integers: mean = median
Also, equals (max + min)/2
example: 7, 8, 9, 10, and 11
mean = (7+11)/2 = 9
median = 9

By the same token, for 12, 14, 16, and 18
mean = (12 + 18)/2 = 15
median also = average of 14 and 16 = 15

Hope this helps.
_________________

KUDOS me if you feel my contribution has helped you.

Intern
Intern
avatar
Joined: 11 Nov 2009
Posts: 30
Followers: 0

Kudos [?]: 1 [0], given: 1

Re: m08#23 [#permalink] New post 29 Aug 2011, 08:35
I want to know for no's whose sum =75 is there any combination where mean > median........

for e.g 25+25+25 ..........mean= median

for 25 +25+16+9 ............mean < median...

so i want to know a combination where mean > median........i could not figure out ....so just need help :-D
Manager
Manager
avatar
Joined: 14 Mar 2011
Posts: 87
Followers: 1

Kudos [?]: 20 [0], given: 21

Re: m08#23 [#permalink] New post 29 Aug 2011, 08:54
Lets take some examples

1. Let set is two number (3,6) mean=4.5, median=4.5 now let take 3 nos. (15, 18, 21) mean=18, Median=18 now lets take a bigger set (-12, -9,-6,-3,0,3,6,9) Median = -1.5, Mean = -12/8= -3/2 = -1.5

A is answer
Golden rule for Consecutive integers is already explained just a addition :)

Regards
Jagdeep
Manager
Manager
avatar
Joined: 11 Feb 2011
Posts: 80
Followers: 1

Kudos [?]: 0 [0], given: 0

Re: m08#23 [#permalink] New post 29 Aug 2011, 10:21
simple one..A is the answer
Senior Manager
Senior Manager
avatar
Joined: 19 Oct 2010
Posts: 274
Location: India
GMAT 1: 560 Q36 V31
GPA: 3
Followers: 6

Kudos [?]: 38 [0], given: 27

Re: m08#23 [#permalink] New post 03 Sep 2011, 08:27
celluloidandroid wrote:
Answer: A

Median will equal mean in consecutive integers
Not B because it does give any information about the numbers in question.



Good information. Thank you.
_________________

petrifiedbutstanding

Current Student
avatar
Joined: 07 Sep 2011
Posts: 74
GMAT 1: 660 Q41 V40
GMAT 2: 720 Q49 V39
WE: Analyst (Mutual Funds and Brokerage)
Followers: 1

Kudos [?]: 22 [0], given: 13

Re: m08#23 [#permalink] New post 29 Aug 2012, 06:15
Remember that evenly spaced sets, the mean = median. Regardless of # of items.

A) Sufficient
b) Insufficient
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23409
Followers: 3613

Kudos [?]: 28902 [1] , given: 2871

Re: m08#23 [#permalink] New post 29 Aug 2012, 07:01
1
This post received
KUDOS
Expert's post
FN wrote:
Is the mean of a non-empty set S bigger than its median?

1. All members of S are consecutive multiples of 3
2. The sum of all members of S equals 75

[Reveal] Spoiler: OA
A

Source: GMAT Club Tests - hardest GMAT questions

however i think it should be E..

how do we know all the elements in S are positive? what if we have -3, -6, -9, 0, 3, etc?


REVISED VERSION OF THIS QUESTION IS BELOW:

Is the mean of set S greater than its median?

(1) Set S consist of consecutive multiples of 3 --> set S is evenly spaced. One of the most important properties of evenly spaced set (aka arithmetic progression) is: in any evenly spaced set the arithmetic mean (average) is equal to the median. So, the mean of S = the median of S. Sufficient.

(2) The sum of all terms of set S is 75 --> if S={75} then mean=median but if S={0, 0, 75} then (mean=25)>(0=median). Not sufficient.

Answer: A.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Director
Director
User avatar
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 564
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 13

Kudos [?]: 144 [0], given: 75

Re: m08#23 [#permalink] New post 29 Aug 2012, 10:21
True, as Bunuel said,
Mean=Median or evenly spaced sets, so (i) sufficient
in (ii) the sets have a sum of 75 ; we can have many combinations to do so (0,0,75),(25,25,25), etc..-insufficient
(A)wins
_________________

" Make more efforts "
Press Kudos if you liked my post

Re: m08#23   [#permalink] 29 Aug 2012, 10:21
Display posts from previous: Sort by

m08#23

  Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: WoundedTiger, Bunuel



cron

GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.