BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

MGMAT STATISTICS DS QUES

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members
Thanked: 331 times
by cramya » Mon Oct 20, 2008 6:52 pm
x is an integer greater than 7. What is the median of the set of consecutive integers from 1 to x inclusive?

(1) The average of the set of integers from 1 to x inclusive is 11.

(2) The range of the set of integers from 1 to x inclusive is 20.


[spoiler]OA:D[/spoiler]


I am not sure from 1) how u can tell the median is equal to the average of the set (this is only true if x is odd. The question stem says x>7 what if x is 8 then the average is not equal to the median

Thoughts?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Fri Nov 30, 2007 6:09 am

by aznstyle28 » Mon Oct 20, 2008 7:08 pm
The average they give is 11. With this information you can find the median by using the first number of the consecutive set, x, and the average to find x which enables you to find the median.

(1+x)/2 = 11
22 = 1+x
x=21
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members
Thanked: 331 times

by cramya » Mon Oct 20, 2008 7:18 pm
I am thinking u cant do
(1+x)/2 = 11

If x=7 then there will be 7 terms
If x=8 then there will be 8 terms etcc

1+.....+.....+last term / (x-1)+1 = 11
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members
Thanked: 331 times

by cramya » Mon Oct 20, 2008 7:20 pm
I think u r right!!! :D

Not sure what I was thinking!

Thanks Aznstyle28!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 44
Joined: Wed Sep 03, 2008 11:27 am
Thanked: 2 times
GMAT Score:740

by java_ka_jalwa » Wed Oct 22, 2008 3:49 pm
no need to calc x since, consec integers mean = median
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Sun Apr 20, 2008 3:23 pm

by kandyhot27 » Wed Oct 22, 2008 5:43 pm
IMO D

When you solve A
x (x+1)/2 = 11
x = 21....now you can find median

when you solve b
x-1=20
x =21...same as a....sufficient

hence D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members
Thanked: 331 times

by cramya » Wed Oct 22, 2008 7:33 pm
Kandy,
Could u elaborate

stmt 1 where u did x(x+1)/2 = 11

Thnks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 871
Joined: Wed Aug 13, 2008 7:48 am
Thanked: 48 times

by stop@800 » Wed Oct 22, 2008 11:02 pm
cramya wrote:Kandy,
Could u elaborate

stmt 1 where u did x(x+1)/2 = 11
It should be
x(x+1)/(2x) = 11

Thnks!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3380
Joined: Mon Mar 03, 2008 1:20 amFollowed by: 1535 members
Thanked: 2256 times
GMAT Score:800

by lunarpower » Fri Oct 24, 2008 3:12 am
in any symmetric set - a description that includes all sets of consecutive integers - the following facts are true:

(1) the AVERAGE of the set is just the AVERAGE OF THE FIRST AND LAST terms.
in fact, because of symmetry, the average is equal to the average of any two terms that are symmetric about the middle number, but the first and last are usually the easiest to figure out and think about.

(2) the MEDIAN and the MEAN of the set are the same.
if you visualize the set plotted on a number line - i.e., as a set of dots that are equally spaced - this should be somewhat clear: draw a line right through the middle of the set, and that line will be at both the median and the mean.

only (2) applies here, but, since these are both useful general takeaways, it helps to list them both.
Ron has been teaching various standardized tests for 20 years.

--

Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi

--

Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.

Yves Saint-Laurent

--

Learn more about ron
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 541
Joined: Thu May 31, 2007 6:44 pmFollowed by: 3 members
Location: UK
Thanked: 21 times
GMAT Score:680

by rohangupta83 » Fri Oct 24, 2008 4:47 am
(D)

Using statement 1

1 (1st integer)
x (last integer)

Average for the series 1,2,3,4,5,6,7.......x = 11 (all consecutive integers)

for example
average of 1,2,3,4,5 = 3

and also the average of 1,5 = 3 (1 - 1st integer and 5 - last integer)

Therefore, average for the first and last integer should also be 11

(1+x)/2 = 11
or x = 21

using statement 2

range = 20
1st digit = 1

therefore, the last digit = 1+20 = 21 (which is x)

Hence, both statements are sufficient

answer D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 20
Joined: Tue Sep 08, 2009 8:46 pm
Thanked: 1 times

by aagar2003 » Sat Aug 13, 2011 6:35 am
is there any significance of x being greater than 7 in this question? Wouldn't the answer remain D (same) even without this information?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3380
Joined: Mon Mar 03, 2008 1:20 amFollowed by: 1535 members
Thanked: 2256 times
GMAT Score:800

by lunarpower » Sat Aug 13, 2011 3:50 pm
aagar2003 wrote:is there any significance of x being greater than 7 in this question? Wouldn't the answer remain D (same) even without this information?
basically, yeah. i think the author is just hedging against the (remote) possibility that someone might allow sequences in decreasing order -- i.e., someone might come with the complaint that statement 2 could also be "the integers from 1 to -19". if you state that x > 7 then you kill that particular possibility.
Ron has been teaching various standardized tests for 20 years.

--

Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi

--

Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.

Yves Saint-Laurent

--

Learn more about ron
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 2789
Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members
Location: Chennai, India
Thanked: 206 times
GMAT Score:640

by GmatKiss » Sun Aug 14, 2011 12:53 pm
Thanks Lunarpower for your time :)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 934
Joined: Tue Nov 09, 2010 5:16 amFollowed by: 14 members
Location: AAMCHI MUMBAI LOCAL
Thanked: 63 times

by [email protected] » Wed Mar 14, 2012 7:56 pm
x is an integer greater than 7. What is the median of the set of consecutive integers from 1 to x inclusive?

(1) The average of the set of integers from 1 to x inclusive is 11.

(2) The range of the set of integers from 1 to x inclusive is 20.



Yes got it easily, the statement 1 can be solved by 2 formula:

1] the sum of n natural numbers in a series'

2] second already given... [n(n+1)]/2 X (1/n) inorder to get the average...
IT IS TIME TO BEAT THE GMAT

LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!

Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1