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 →

ps:stats

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 50
Joined: Wed Apr 06, 2011 11:50 pm
by arjunshn » Fri Apr 22, 2011 12:53 am
A List of positive integers is arranged in ascending order such that the 19th number in the series represents the median of the series. If the sum of all the numbers in the series is 222, what is the average of the given list?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 582
Joined: Tue Mar 08, 2011 12:48 amFollowed by: 6 members
Thanked: 61 times
GMAT Score:740

by force5 » Fri Apr 22, 2011 1:25 am
if 19th number is the median then total numbers are 37

hence average is sum of the numbers/total numbers

= 222/37 = 6

answer should be 6
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Fri Apr 22, 2011 5:11 am
arjunshn wrote:A List of positive integers is arranged in ascending order such that the 19th number in the series represents the median of the series. If the sum of all the numbers in the series is 222, what is the average of the given list?
As it stands, this question is missing an important piece of information.
I think we need to state that all of the numbers are different, or state that the 19th number is unique.
Here's why:
Given the information, there could 21 numbers altogether. Let's say the first 20 numbers are 1 and the last number is 202 (e.g., 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,202)
Here the 19th number is 1 and this is the median. For this set, the mean (average) is 222/21

Conversely, there could 23 numbers altogether. The first 22 numbers can be 1, and the last number can be 200 (e.g., 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,200)
Here the 19th number is 1 and this is the median. For this set, the mean (average) is 222/23
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 582
Joined: Tue Mar 08, 2011 12:48 amFollowed by: 6 members
Thanked: 61 times
GMAT Score:740

by force5 » Fri Apr 22, 2011 5:31 am
actually the question was falling apart if i didnt consider that 19th value was unique since the poster has not given answer choices nor any other information was given.
You are correct Brent.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 2623
Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members
Location: Montreal
Thanked: 1090 times
GMAT Score:780

by Ian Stewart » Fri Apr 22, 2011 10:34 am
Brent@GMATPrepNow wrote:
arjunshn wrote:A List of positive integers is arranged in ascending order such that the 19th number in the series represents the median of the series. If the sum of all the numbers in the series is 222, what is the average of the given list?
As it stands, this question is missing an important piece of information.
I think we need to state that all of the numbers are different, or state that the 19th number is unique.
Yes, not only does the question need to make clear that the numbers are distinct, it also misuses terminology. A 'series' in mathematics is a sum; it is not the same thing as a 'list' or a 'sequence', and it doesn't have a median. I'd be concerned about studying other questions from the same source if the author is that careless about language - where is the question from?
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

ianstewartgmat.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1