[ 10 posts ]

 Print view Previous topic | Next topic

#### A set of 15 different integers has a median of 25

Author Message
 Post subject: A set of 15 different integers has a median of 25  Posted: Tue Jul 31, 2007 11:30 am
 A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set? A) 32 B) 37 C) 40 D) 43 E) 50

 Post subject:   Posted: Tue Jul 31, 2007 12:05 pm
 Ans is D i.e.43 Assume first value A and Last value x Range is 25=x-A Also Median =25 Set of different integers Only one value satisfy this 43-18 18,19,20,21,22,23,24,25

 Post subject:   Posted: Thu Aug 02, 2007 11:27 am
 ManhattanGMAT Staff

Posts: 303
 Harish, sometimes, when the algebraic solution is not obvious, it can be advantageous to roll up your sleeves and attack the problem with "brute force." In this case, the median is 25, so the 8th number in ascending order must be 25. Moreover, the range is 25, so the difference between the smallest and largest numbers must be 25. Because this is a "could" problem that asks for the "greatest possible integer," let's attack the largest integers first. E) 50: If 50 is greatest number than 25 must be smallest (as the range is 25). This, obviously, cannot yield a median of 25. D) 43: If 43 is greatest number than 18 must be smallest (as the range is 25). Now, just list numbers to check whether 25 can be the 8th number in ascending order. 18, 19, 20, 21, 22, 23, 24, 25... As 25 is the 8th number, the correct answer is D. -dan Quote:A set of 15 different integers has a median of 25 and a range of 25. What is the greatest possible integer that could be in this set? A) 32 B) 37 C) 40 D) 43 E) 50

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Fri Sep 23, 2011 1:43 am
 Students

Posts: 2
 The solution doesn't seem to work.If you consider 18,19,20,21,22,23,24,25and then go to:26,27,28,29,30,31,43The average of these numbers comes to 25.7 and not 25.So how can 43 be the solution? Am I missing something?

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Sun Sep 25, 2011 8:20 am
 Students

Posts: 23
Location: Bangalore
 borhan11 wrote:and then go to:26,27,28,29,30,31,43The average of these numbers comes to 25.7 and not 25.So how can 43 be the solution? Am I missing something?There are 15 Integers. 25 is the median.The numbers after 25 i.e the next 6 integers (7th integer is 43), need not be consecutive. It could be 6 different integers which is greater than 25 and the sum should add to [(25 x 15) - (18+19+20+21+22+23+24+25) - (43)](25 x 15) - Total Sum of all the integers(18+19+20+21+22+23+24+25) - Sum of first eight integers(43) - 15th or last integerHope I was able to clear your doubt.

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Thu Oct 06, 2011 5:47 am
 ManhattanGMAT Staff

Posts: 8179
 borhan -- nice 4-year thread bump.borhan11 wrote:The average of these numbers comes to 25.7 and not 25.this is your problem: you're using the arithmetic mean (average) of the numbers, but the problem actually wants you to use the median. _________________Being well-dressed gives a feeling of inward tranquillity [that] religion is powerless to bestow.C.F. Forbes

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Tue Feb 14, 2012 2:49 pm
 Forum Guests

Posts: 1
 i actually arrived at 50 as my final answer. could somebody please explain to me why my logic is wrong?here is my thought process going through the problem:out of the 15 integers in the set, i let 14 of those integers be 25, and i let the last integer be 50. thus, the range of the set is 50-25=25, and 25 technically is the median of the set, as 25 will also be the 8th term in the set (because there are fourteen of them).

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Fri Feb 17, 2012 5:59 am
 ManhattanGMAT Staff

Posts: 8179
 scotty, per the problem statement, all of the integers have to be different. so, having multiple 25's is not ok. _________________Being well-dressed gives a feeling of inward tranquillity [that] religion is powerless to bestow.C.F. Forbes

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Sat Feb 18, 2012 7:10 am
 Forum Guests

Posts: 9
 I also have a same kind of data sufficiency doubt.What is the median of 15 integers?(1) Exactly seven of the numbers are greater than 7. (2) Exactly seven of the numbers are less than 7plz help me to solve this question with explanation.

 Post subject: Re: A set of 15 different integers has a median of 25  Posted: Sun Feb 19, 2012 10:28 pm
 ManhattanGMAT Staff

Posts: 2412
 s.pratibha14 wrote:I also have a same kind of data sufficiency doubt.What is the median of 15 integers?(1) Exactly seven of the numbers are greater than 7. (2) Exactly seven of the numbers are less than 7plz help me to solve this question with explanation.Hi,Is this a question from the GMAT prep tests? If so, please post it in a new thread with the first few words as the thread title. We'll then be happy to help you. Thanks! _________________Jamie NelsonManhattanGMAT Instructor

Display posts from previous:  Sort by

[ 10 posts ]

#### Who is online

 Users browsing this forum: No registered users and 0 guests

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forumYou cannot post attachments in this forum

Search for:
 Jump to:  Select a forum ------------------ Ask An Instructor    General GMAT Strategy Questions    GMAT Math       General Math Questions       GMAT Prep Math       Manhattan GMAT CAT Math       Manhattan GMAT Non-CAT Math       Official Guide Math    GMAT Verbal       General Verbal Questions       GMAT Prep Verbal       Manhattan GMAT CAT Verbal       Manhattan GMAT Non-CAT Verbal       Official Guide Verbal    GMAT Integrated Reasoning (IR)       GMAT Prep IR       Manhattan GMAT CAT IR       Manhattan GMAT Non-CAT IR    GMAT AWA Essays Manhattan GMAT    Ask Student Services    Study Groups    GMAT Test Day    Test Centers    Instructor Feedback    Course Feedback B-School    Ask an mbaMission Admissions Consultant    B-School Essays    Business Schools    Professional Networking