• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## The median of a data set is x and its maximum is 40. The ran tagged by: Max@Math Revolution ##### This topic has 5 member replies ### GMAT/MBA Expert ## The median of a data set is x and its maximum is 40. The ran ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult [Math Revolution GMAT math practice question] The average of the maximum and the minimum of a data set is x and its maximum is 40. The range of the set is 10 greater than x. What is the minimum of the set in terms of x? A. x - 20 B. 2x - 40 C. 2x D. 20 - x E. 40 - 2x _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
Free Resources-30 day online access & Diagnostic Test
Unlimited Access to over 120 free video lessons-try it yourself
Email to : info@mathrevolution.com

Last edited by Max@Math Revolution on Sun Aug 26, 2018 11:11 am; edited 1 time in total

### GMAT/MBA Expert

Legendary Member
Joined
24 Jul 2015
Posted:
2036 messages
Followed by:
29 members
Upvotes:
19
GMAT Score:
=>

The range of the set is 2 times 40 - x, since 40 - x is the distance between the median and the maximum. The minimum is the median minus the distance between the median and the maximum, which is x - ( 40 - x ) = 2x - 40.

Therefore, the answer is B.

Answer : B

_________________

Math Revolution
Finish GMAT Quant Section with 10 minutes to spare.
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Only $149 for 3 month Online Course Free Resources-30 day online access & Diagnostic Test Unlimited Access to over 120 free video lessons-try it yourself Email to : info@mathrevolution.com ### Top Member Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 325 messages Upvotes: 27 Max@Math Revolution wrote: => The range of the set is 2 times 40 - x, since 40 - x is the distance between the median and the maximum. The minimum is the median minus the distance between the median and the maximum, which is x - ( 40 - x ) = 2x - 40. Therefore, the answer is B. Answer : B Median is middle value of a ranked order of numbers. Let's pick some: 40 has to be the largest number. Let's try the following: 40 20 20 10 10 The median here is 20. The range is 40-10 = 30, which is 10 greater than the median of 20. So this satisfies the problem statement. The minimum of this set is 10. The suggested answer of 2 x median - 40 would suggest the minimum is 0, which isn't the case. Using algebra: 40 - minimum = median + 10 So minimum = 30 - median. Let's test this on the numbers above 30 - 20 = 10 = minimum. Yes Answer not among the choices ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12653 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 Max@Math Revolution wrote: [Math Revolution GMAT math practice question] The median of a data set is x and its maximum is 40. The range of the set is 10 greater than the median. What is the minimum of the set in terms of x? A. x - 20 B. 2x - 40 C. 2x D. 20 - x E. 40 - 2x GIVEN: The median of a data set is x, and its MAXIMUM is 40 The range of the set is 10 greater than the median So, the range = x + 10 Let N = the MINIMUM value We can write: MAXIMUM value - MINIMUM value = range Rewrite as: 40 - N = x + 10 What is the minimum of the set in terms of x? So, we must solve the above equation for N Take: 40 - N = x + 10 Subtract 40 from both sides to get: -N = x - 30 Multiply both sides by -1 to get: N = -x + 30, which is the same as N = 30 - x The answer is not among the answer choices. Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12653 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 Max@Math Revolution wrote: The range of the set is 2 times 40 - x, since 40 - x is the distance between the median and the maximum. Your suggestion that range = 2(maximum value - median) is not always true In fact, the only time the range = 2(maximum value - median) is when the median is the average of the minimum and maximum value. For example, in the set {1, 9, 17}, the range = 17 - 1 = 16, which is equal to 2(maximum value - median) However, the rule does not work when the median is NOT the average of the minimum and maximum value. For example, the set {-9, 39, 40} satisfies the given information Here, x = 39, the maximum value is 40, and the range (of 49) is 10 greater than the median (39) In this case, minimum value (-9) does NOT equal 2x - 40 Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Legendary Member Joined 24 Jul 2015 Posted: 2036 messages Followed by: 29 members Upvotes: 19 GMAT Score: The question should be changed to the following. It is fixed now. The average of the maximum and the minimum of a data set is x and its maximum is 40. The range of the set is 10 greater than x. What is the minimum of the set in terms of x? _________________ Math Revolution Finish GMAT Quant Section with 10 minutes to spare. The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. Only$149 for 3 month Online Course
Free Resources-30 day online access & Diagnostic Test
Unlimited Access to over 120 free video lessons-try it yourself
Email to : info@mathrevolution.com

• Get 300+ Practice Questions
25 Video lessons and 6 Webinars for FREE

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• Free Trial & Practice Exam
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5-Day Free Trial
5-day free, full-access trial TTP Quant

Available with Beat the GMAT members only code

• Free Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Award-winning private GMAT tutoring
Register now and save up to $200 Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

### Top First Responders*

1 Brent@GMATPrepNow 56 first replies
2 fskilnik@GMATH 55 first replies
3 GMATGuruNY 50 first replies
4 Jay@ManhattanReview 38 first replies
5 Rich.C@EMPOWERgma... 23 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

198 posts
2 fskilnik@GMATH

GMATH Teacher

157 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

105 posts
4 Max@Math Revolution

Math Revolution

83 posts
5 GMATGuruNY

The Princeton Review Teacher

75 posts
See More Top Beat The GMAT Experts