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

 It is currently 24 Aug 2016, 02:06

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In a set of consecutive ODD integers, the mean ALWAYS equals

Author Message
TAGS:

### Hide Tags

CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 9

Kudos [?]: 726 [0], given: 4

In a set of consecutive ODD integers, the mean ALWAYS equals [#permalink]

### Show Tags

05 Nov 2007, 07:16
In a set of consecutive ODD integers, the mean ALWAYS equals the median.
In a set of consecutive EVEN integers, the mean ALWAYS equals the median.

True?
Senior Manager
Joined: 19 Feb 2007
Posts: 325
Followers: 1

Kudos [?]: 39 [0], given: 0

### Show Tags

05 Nov 2007, 07:22
Yes, I think this is true.

Also
In a set of consecutive integers, the mean ALWAYS equals the median.
Director
Joined: 30 Nov 2006
Posts: 591
Location: Kuwait
Followers: 14

Kudos [?]: 241 [0], given: 0

### Show Tags

05 Nov 2007, 14:17
FALSE

The Correct Statements:
In a set of an odd number of consecutive ODD integers, the mean ALWAYS equals the median.

In a set of an odd number of consecutive EVEN integers, the mean ALWAYS equals the median.
SVP
Joined: 29 Aug 2007
Posts: 2492
Followers: 66

Kudos [?]: 692 [0], given: 19

### Show Tags

05 Nov 2007, 22:01
1
This post was
BOOKMARKED
bmwhype2 wrote:
In a set of consecutive ODD integers, the mean ALWAYS equals the median.
In a set of consecutive EVEN integers, the mean ALWAYS equals the median.

True?

true for all (even, odd or both) consecutive integers.

Mishari wrote:
FALSE

The Correct Statements:
In a set of an odd number of consecutive ODD integers, the mean ALWAYS equals the median.

In a set of an odd number of consecutive EVEN integers, the mean ALWAYS equals the median.

any example?
Manager
Joined: 25 Nov 2006
Posts: 59
Followers: 2

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

### Show Tags

05 Nov 2007, 23:59
Both the stats

Quote:
In a set of consecutive ODD integers, the mean ALWAYS equals the median.
In a set of consecutive EVEN integers, the mean ALWAYS equals the median.

and

Quote:
In a set of an odd number of consecutive ODD integers, the mean ALWAYS equals the median.
In a set of an odd number of consecutive EVEN integers, the mean ALWAYS equals the median.

both stats hold good.....
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11032
Followers: 509

Kudos [?]: 133 [0], given: 0

Re: In a set of consecutive ODD integers, the mean ALWAYS equals [#permalink]

### Show Tags

01 Apr 2015, 14:36
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.
_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 7141
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Followers: 310

Kudos [?]: 2118 [0], given: 161

Re: In a set of consecutive ODD integers, the mean ALWAYS equals [#permalink]

### Show Tags

01 Apr 2015, 20:21
Hi All,

While this post originally goes back to 2007, and most (if not all) of the posters are probably gone, the questions posed are essentially Number Properties. They can ALL be proven by TESTing VALUES, although it does not appear that anyone went to the trouble of proving what they believed.

Here is the proof:

1) In a set of consecutive ODD integers, the mean ALWAYS equals the median.

Here are a series of examples to prove that this is TRUE.

{1, 3}
Mean = (1+3)/2 = 2
Median = (1+3)/2 = 2
Mean = Median

{1, 3, 5}
Mean = (1+3+5)/3 = 3
Median = 3
Mean = Median

{-3, -1, 1, 3}
Mean = (-3-1+1+3)/4 = 0
Median = (-1+1)/2 = 0
Mean = Median

{-5, -3, -1, 1, 3}
Mean = (-5-3-1+1+3)/5 = -1
Median = -1
Mean = Median

Using similar methods, you can also prove that the following is true:

2) In a set of consecutive EVEN integers, the mean ALWAYS equals the median.

GMAT assassins aren't born, they're made,
Rich
_________________

# Rich Cohen

Co-Founder & GMAT Assassin

# Special Offer: Save \$75 + GMAT Club Tests

60-point improvement guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: In a set of consecutive ODD integers, the mean ALWAYS equals   [#permalink] 01 Apr 2015, 20:21
Similar topics Replies Last post
Similar
Topics:
When median = mean, is the set always evenly spaced? 2 17 Nov 2013, 22:31
Is age always an integer? 2 05 Jan 2013, 21:15
Mergin sets and arithmetic mean 3 30 Nov 2011, 07:51
Clarity on what " x,y,z are consecutive integers" means 3 16 Sep 2011, 11:19
1 What is consider consecutive integers? 5 29 Jun 2008, 15:58
Display posts from previous: Sort by