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 →

Statistics and Sets Problems

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2548
Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members
by swerve » Mon Apr 13, 2020 12:01 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

Set \(S\) consists of consecutive positive integers. If the lowest integer in Set \(S\) is \(1\) and the sum of the integers os Set \(S\) is 231, what is the median of Set \(S\)?

A. 10.5
B. 11
C. 12
D. 13
E. 22

The OA is B

Source: Magoosh
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8156
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

Re: Statistics and Sets Problems

by Scott@TargetTestPrep » Fri Apr 17, 2020 3:40 am
swerve wrote: ↑
Mon Apr 13, 2020 12:01 pm
 Set \(S\) consists of consecutive positive integers. If the lowest integer in Set \(S\) is \(1\) and the sum of the integers os Set \(S\) is 231, what is the median of Set \(S\)?

A. 10.5
B. 11
C. 12
D. 13
E. 22

The OA is B

Source: Magoosh
If we let x = the largest integer in set S, we can create the following equation using the formula average * quantity = sum:

(1 + x)/2 * (x - 1 + 1) = 231

(1 + x)/2 * x = 231

x + x^2 = 462

x^2 + x - 462 = 0

(x + 22)(x - 21) = 0

x = -22 and x = 21

Since x is positive, x = 21. Since the median of set S is also the average of set S, the median of set S is (1 + 21)/2 = 22/2 = 11.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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