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

It is currently 11 Jul 2014, 20:06

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

For a certain set of N numbers where N>1 is the average (ari

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 18 [0], given: 8

GMAT Tests User
For a certain set of N numbers where N>1 is the average (ari [#permalink] New post 31 Jan 2012, 08:31
2
This post was
BOOKMARKED
For a certain set of N numbers where N>1 is the average (arithmetic mean ) equal to the median ?

1)If the N numbers in the set are listed in increasing order then the difference between any pair of successive numbers in the set is 2.

2)The range of the N numbers in the set is 2(N-1).

The answer is A. I know 2 is insufficient. My understanding of the statement A is as difference is 2 they are consecutive even nos so irrespective of whether N is odd or even and N>1 (for N=10 or 11 ) the average alwalys equals the median for consecutive even nos.

Is my understanding correct ? Could someone confirm ? The actual explanation given in the book for statement 1 is bit confusing. That's why I want someone to confirm.
_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Expert Post
1 KUDOS received
Magoosh GMAT Instructor
User avatar
Joined: 28 Dec 2011
Posts: 1917
Followers: 460

Kudos [?]: 1786 [1] , given: 29

Re: For a certain set of N numbers where N>1 is the average (ari [#permalink] New post 31 Jan 2012, 14:03
1
This post received
KUDOS
Expert's post
Hi, there. I'm happy to talk a little about this. :)

You're perfectly right about Statement #2 -- it's not only insufficient --- it's completely useless.

Statement #1 says that the numbers are evenly-spaced, separated by steps of length 2.

They could be all evens: 6, 8, 10, 12, 14, . . . .

Or, they could be all odds: 5, 7, 9, 11, 13, . . . .

And actually, it doesn't matter. Here's a really easy rule-of-thumb to remember: on any list where all the numbers are even-spaced, the mean equals the median. Period. Starting point doesn't matter. Size of the space between the numbers doesn't matter. Even-spacing ---> mean = median.

The reason is: the mean always equals the median when the data is symmetric, and when each step is identical, then the whole set has mirror symmetry (imagine them as evenly-spaced dots on a number line).

Does that make sense? If you have any further question, please do no hesitate to ask.

Mike :)
_________________

Mike McGarry
Magoosh Test Prep

Image

Image

Manager
Manager
avatar
Joined: 17 Sep 2011
Posts: 209
Followers: 0

Kudos [?]: 18 [0], given: 8

GMAT Tests User
Re: For a certain set of N numbers where N>1 is the average (ari [#permalink] New post 01 Feb 2012, 00:13
Thanks a lot Mike for the reply. Yeah it was useful.
_________________

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Re: For a certain set of N numbers where N>1 is the average (ari   [#permalink] 01 Feb 2012, 00:13
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic For a certain set of n numbers, where n > 1, is the average Bunuel 10 26 Feb 2014, 01:24
3 Experts publish their posts in the topic If the sum of n consecutive integers is 1, where n > 1 danzig 3 24 Oct 2012, 13:18
7 Experts publish their posts in the topic Z is the set of the first n positive odd numbers, where n is Smita04 5 14 Jun 2012, 03:08
3 Experts publish their posts in the topic For a certain set of n numbers, where n > 1, is the average ugimba 9 11 Mar 2009, 17:24
For a certain set of n numbers, where n>1, is the average marcodonzelli 7 03 Mar 2008, 10:58
Display posts from previous: Sort by

For a certain set of N numbers where N>1 is the average (ari

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.