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 →

median

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Tue Feb 28, 2012 7:47 pm
dreamv wrote:x, 3, 1, 12, 8

If x is an integer, is the median of the 5 numbers shown greater than the average of the 5 numbers?

1) x>6
2) x is greater than the median of the 5 numbers
Look for values that satisfy both statements.
Be sure to try extreme values.

If x=9:
The numbers are 1, 3, 8, x=9, 12.
Average = (1+3+8+9+12)/5 = 33/5.
Median = 8.
Average < median.

If x=100:
The numbers are 1, 3, 8, 12, x=100.
Average = (1+3+8+12+100)/5 = 124/5.
Median = 8.
Average > median.

Since in the first case the average is less than the median, and in the second case the average is greater than the median, the two statements combined are INSUFFICIENT.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 143
Joined: Mon Mar 14, 2011 3:13 amFollowed by: 5 members
Thanked: 34 times

by krusta80 » Tue Feb 28, 2012 8:35 pm
dreamv wrote:x, 3, 1, 12, 8

If x is an integer, is the median of the 5 numbers shown greater than the average of the 5 numbers?

1) x>6
2) x is greater than the median of the 5 numbers
Integers can be negative or postive, therefore we do not have sufficient info to solve the problem with neither (1) nor (2). Let's move on to each line item:

(1) x > 6

Let's analyze the minimum possible value and then the max.

(1a) x = 7

So, we have 1,3,7,8,12. Mean is 31/5 = 6.2 <=> Median is 7

(1b) x = 1000000

So, we have 1,3,8,12,1000000. Mean is much bigger than the median, which is 8.

INSUFFICIENT


(2) x is greater than the median

(2a) Minimum valid value of x is 9, which gives is 1,3,8,9,12 <=> Mean is 33/5 = 6.6
(2b) x is 1000000, which gives us 1,3,8,12,1000000 <=> Mean is larger than median, which is 8

INSUFFICIENT


(1) and (2)
Since part 2 is just a subset of part 1 (for x), still INSUFFICIENT

Answer is E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1