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

It is currently 16 Sep 2014, 07:49

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

The median value of a set of 9 positive integers is 6. If

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 24 Jan 2005
Posts: 217
Location: Boston
Followers: 1

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

GMAT Tests User
The median value of a set of 9 positive integers is 6. If [#permalink] New post 24 Feb 2005, 17:27
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

33% (02:17) correct 67% (01:37) wrong based on 5 sessions
The median value of a set of 9 positive integers is 6. If the only mode in the distrubution is 25 what is the least possible mean of the distribution.
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

GMAT Tests User
 [#permalink] New post 24 Feb 2005, 17:40
9

numbers shud be....1,2,3,4,6,7,8,25,25 = 81/9 = 9

Last edited by banerjeea_98 on 24 Feb 2005, 18:19, edited 1 time in total.
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

GMAT Tests User
 [#permalink] New post 24 Feb 2005, 18:19
MA wrote:
banerjeea_98 wrote:
9

numbers shud be....1,2,3,4,5,6,7,8,25,25 = 81/9 = 9


baner, 5 cannot be in the series.


sorry that was a typo....ans remains the same
Manager
Manager
avatar
Joined: 01 Jan 2005
Posts: 168
Location: NJ
Followers: 1

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

GMAT Tests User
 [#permalink] New post 25 Feb 2005, 03:31
Hmm... In the beginning I couldn't und the q at all but after seeing banerjee's post, I think he is right.
Intern
Intern
User avatar
Joined: 09 Jan 2005
Posts: 21
Followers: 0

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

 [#permalink] New post 25 Feb 2005, 05:01
2,3,4,5,6,25,25,25,25 ;

Even this could be a plausible series. Mode can be repeated any number of times.

There is a formula which relates mean, median and mode -
3 * mean - 2 * mode = median

The answer is 17 ( minimum possible value of the mean)
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Feb 2005, 06:21
HSWKM wrote:
2,3,4,5,6,25,25,25,25 ;

Even this could be a plausible series. Mode can be repeated any number of times.

There is a formula which relates mean, median and mode -
3 * mean - 2 * mode = median

The answer is 17 ( minimum possible value of the mean)


Stem asks for the least possible mean, therefore, we need to keep 25s to the minimum.
Manager
Manager
avatar
Joined: 18 Nov 2004
Posts: 72
Followers: 1

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

 [#permalink] New post 25 Feb 2005, 07:52
i get 9 as well

1+2+3+4+6+7+8+25+25=81
81/9=9
Senior Manager
Senior Manager
avatar
Joined: 25 Oct 2004
Posts: 250
Followers: 1

Kudos [?]: 5 [0], given: 0

GMAT Tests User
 [#permalink] New post 25 Feb 2005, 10:50
The series is 1,2,3,4,6,7,8,25,25
So the mean is 81/9=9
Manager
Manager
avatar
Joined: 08 Oct 2004
Posts: 224
Followers: 0

Kudos [?]: 10 [0], given: 0

GMAT Tests User
 [#permalink] New post 28 Feb 2005, 22:00
MA wrote:
banerjeea_98 wrote:
9

numbers shud be....1,2,3,4,5,6,7,8,25,25 = 81/9 = 9


baner, 5 cannot be in the series.


Please could you explain why 5 cannot be a part of the series?

Thanks
_________________

Believe in yourself.

1 KUDOS received
Manager
Manager
avatar
Joined: 27 Jan 2005
Posts: 100
Location: San Jose,USA- India
Followers: 1

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

 [#permalink] New post 28 Feb 2005, 22:39
1
This post received
KUDOS
Problem says mean should be least possible.So we should try to keep the numbers as small as possible.

6 is the median,middle number.So there are 4 numbers greater than 6 and 4 numbers less than 6.

Mode is 25 only.So one of the numbers is 25.But it is the only mode,so there should be one more 25 to make it "the only mode".

Still we donot know the 4 numbers less than 6 and the 2 numbers greater than 6.We need to keep the numbers as small as possible.So, the 4 numbers that are less than 6 can be 1,2,3,4 . cant go smaller than that.Similarly missing two numbers that are greater than 6 are 7,8 (smallest possible).

So numbers are 1,2,3,4,6,7,8,25,25.
phew....lengthy explanation.
Intern
Intern
User avatar
Joined: 09 Jan 2005
Posts: 21
Followers: 0

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

 [#permalink] New post 01 Mar 2005, 02:32
Yep. Silly mistake that. Question is asking minimum value of mean. Answer is indeed 9. Thanks banerjee
Manager
Manager
avatar
Joined: 11 Jan 2005
Posts: 101
Followers: 1

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

 [#permalink] New post 01 Mar 2005, 03:23
one more for 9

first mode :
two 25

second the median : 6

we are left with : 6 postive integer to pick with the objective of making the mean the smallest

so we have to pick from both side of the median the smallest positive integers :

1, 2 , 3, 4
7,8, 25 , 25

mean 9
Director
Director
avatar
Joined: 27 Dec 2004
Posts: 910
Followers: 1

Kudos [?]: 12 [0], given: 0

GMAT Tests User
 [#permalink] New post 01 Mar 2005, 09:47
700Plus wrote:
Problem says mean should be least possible.So we should try to keep the numbers as small as possible.

6 is the median,middle number.So there are 4 numbers greater than 6 and 4 numbers less than 6.

Mode is 25 only.So one of the numbers is 25.But it is the only mode,so there should be one more 25 to make it "the only mode".

Still we donot know the 4 numbers less than 6 and the 2 numbers greater than 6.We need to keep the numbers as small as possible.So, the 4 numbers that are less than 6 can be 1,2,3,4 . cant go smaller than that.Similarly missing two numbers that are greater than 6 are 7,8 (smallest possible).

So numbers are 1,2,3,4,6,7,8,25,25.
phew....lengthy explanation.


lengthy but clear. Thanks for taking time to break it down because now i do understand it.
Manager
Manager
avatar
Joined: 24 Jan 2005
Posts: 217
Location: Boston
Followers: 1

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

GMAT Tests User
 [#permalink] New post 04 Mar 2005, 12:54
Yes that's a good and detailed explanation
Senior Manager
Senior Manager
avatar
Joined: 02 Feb 2004
Posts: 345
Followers: 1

Kudos [?]: 10 [0], given: 0

GMAT Tests User
 [#permalink] New post 12 Mar 2005, 07:58
banerjeea_98 wrote:
9

numbers shud be....1,2,3,4,6,7,8,25,25 = 81/9 = 9



why it can't be numbers shud be...0,.1,2,3,,6,7,8,25,25. isn't zero an integer?
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1447
Followers: 2

Kudos [?]: 16 [0], given: 0

GMAT Tests User
 [#permalink] New post 12 Mar 2005, 17:04
mirhaque wrote:
banerjeea_98 wrote:
9

numbers shud be....1,2,3,4,6,7,8,25,25 = 81/9 = 9



why it can't be numbers shud be...0,.1,2,3,,6,7,8,25,25. isn't zero an integer?


0 is not +ve or -ve, ques says +ve integers only
Manager
Manager
avatar
Affiliations: Beta Gamma Sigma
Joined: 14 Aug 2008
Posts: 211
Schools: Harvard, Penn, Maryland
Followers: 4

Kudos [?]: 24 [0], given: 3

GMAT Tests User
Re: Find the Mean [#permalink] New post 28 Dec 2009, 17:40
where does it say you can't repeat?

couldn't it be

1,1,1,1,6,6,6,25,25

for 72/9 = 8

What is the source?
Manager
Manager
avatar
Affiliations: Beta Gamma Sigma
Joined: 14 Aug 2008
Posts: 211
Schools: Harvard, Penn, Maryland
Followers: 4

Kudos [?]: 24 [0], given: 3

GMAT Tests User
Re: Find the Mean [#permalink] New post 28 Dec 2009, 17:42
oh mode is 25 nvrmnd
Manager
Manager
avatar
Joined: 30 Jun 2004
Posts: 178
Location: Singapore
Followers: 1

Kudos [?]: 11 [0], given: 5

GMAT ToolKit User GMAT Tests User
Re: [#permalink] New post 29 Dec 2009, 23:50
700Plus wrote:
Problem says mean should be least possible.So we should try to keep the numbers as small as possible.

6 is the median,middle number.So there are 4 numbers greater than 6 and 4 numbers less than 6.

Mode is 25 only.So one of the numbers is 25.But it is the only mode,so there should be one more 25 to make it "the only mode".

Still we donot know the 4 numbers less than 6 and the 2 numbers greater than 6.We need to keep the numbers as small as possible.So, the 4 numbers that are less than 6 can be 1,2,3,4 . cant go smaller than that.Similarly missing two numbers that are greater than 6 are 7,8 (smallest possible).

So numbers are 1,2,3,4,6,7,8,25,25.
phew....lengthy explanation.



Thanks for clear explanation.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29641
Followers: 3488

Kudos [?]: 26202 [0], given: 2706

Re: [#permalink] New post 30 Dec 2009, 07:27
Expert's post
mirhaque wrote:
banerjeea_98 wrote:
9

numbers shud be....1,2,3,4,6,7,8,25,25 = 81/9 = 9



why it can't be numbers shud be...0,.1,2,3,,6,7,8,25,25. isn't zero an integer?


Sure it's an integer but not positive: "9 positive integers"
_________________

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

Re:   [#permalink] 30 Dec 2009, 07:27
    Similar topics Author Replies Last post
Similar
Topics:
For a positive integer 4,6,7,9,11,12,14 and x is the median vd 6 03 Jun 2008, 21:38
X is a positive integer Set S = Which cannot be the median bmwhype2 1 29 Oct 2007, 10:09
Set B has three positive integers with a median of 9. If the Balvinder 1 17 Jun 2007, 05:54
Set B has three positive integers with a median of 9. if mbassmbass04 13 07 Jan 2005, 12:41
Set B has three positive integers with a median of 9. If the hardworker_indian 8 01 Oct 2004, 02:16
Display posts from previous: Sort by

The median value of a set of 9 positive integers is 6. If

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.