Author 
Message 
TAGS:

Hide Tags

Manager
Status: Applying Now
Joined: 21 Nov 2009
Posts: 63
WE: Project Management (Manufacturing)

If x is an integer, is the median of the 5 numbers shown gre [#permalink]
Show Tags
19 Dec 2009, 08:26
4
This post was BOOKMARKED
Question Stats:
63% (02:48) correct
37% (01:57) wrong based on 83 sessions
HideShow timer Statistics
x,3,1,12,8 If x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean ) of the 5 numbers ? (1) x > 6 (2) x is greater than the median of the 5 numbers. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifxisanintegeristhemedianofthe5numbersshowngre104134.html#p333039
Official Answer and Stats are available only to registered users. Register/ Login.
Attachments
medianWithX.GIF [ 10.75 KiB  Viewed 1843 times ]
_________________
http://gmatclub.com/forum/inseadcampusvisitdebrief91669.html#p702796
If you like my post, consider giving me a kudos. THANKS!
Last edited by Bunuel on 15 Apr 2014, 08:02, edited 1 time in total.
Renamed the topic, edited the question and the OA.



Senior Manager
Joined: 30 Aug 2009
Posts: 287
Location: India
Concentration: General Management

Re: Median with X [#permalink]
Show Tags
19 Dec 2009, 11:19
1
This post was BOOKMARKED
msunny wrote: How to analyze this question ?? Attachment: medianWithX.GIF stmnt 1  minimum value which x can have is 7. so on arranging the numbers we have 1,3, x,8,12 where x can be b/w 3 and 8 if x=7 or x can be b/w 8 and 12 or after 12 if x = 7, avg of these numbers will be 6.2 and median is 7 so median is > avg . suff if x= 11, avg of these numbers will be 7 and median is 8 so median is > avg. suff if x= 100, avg of these numbers will be 24.8 and median is 8 so median is < avg. insuff so stmnt1 is insuff stmnt 2  x is greater than median so x> 8 [ on arranging we get 1,3,8,x,12] if x= 11, avg of these numbers will be 7 and median is 8 so median is > avg. suff if x= 100, avg of these numbers will be 24.8 and median is 8 so median is < avg. insuff so stmnt 2 is insuff taking together we have x>8 but still insuff. hence E



Manager
Joined: 25 Aug 2009
Posts: 168
Location: Streamwood IL
Schools: Kellogg(Evening),Booth (Evening)
WE 1: 5 Years

Re: Median with X [#permalink]
Show Tags
19 Dec 2009, 13:04
Good question I got E as well.
_________________
Rock On



Current Student
Joined: 06 Sep 2013
Posts: 1997
Concentration: Finance

Re: Median with X [#permalink]
Show Tags
15 Apr 2014, 07:55
atish wrote: Good question I got E as well. Would you mind elaborating more on your procedure? Thanks Cheers! J



Math Expert
Joined: 02 Sep 2009
Posts: 39695

Re: Median with X [#permalink]
Show Tags
15 Apr 2014, 08:03
1
This post received KUDOS
Expert's post
1
This post was BOOKMARKED
jlgdr wrote: atish wrote: Good question I got E as well. Would you mind elaborating more on your procedure? Thanks Cheers! J x,3,1,12,8
If x is an integer, is the median of the 5 numbers shown greater than the average (arithmetic mean ) of the 5 numbers ?We have a set: {1, 3, 8, 12, x} Question: is \(median>mean=\frac{x+1+3+8+12}{5}=\frac{x+24}{5}\)? Note that as we have odd (5) # of terms in the set then the median will be the middle term when arranged in ascending (or descending) order. So, if \(x\leq{3}\): {1, x, 3, 8, 12} then \(median=3\), if \(3<x\leq{8}\): {1, 3, x, 8, 12} then \(median=x\) and if \(x\geq{8}\): {1, 3, 8, x, 12} then \(median=8\). (1) x>6. If \(x=7\) then the median will be 7 as well: {1, 3, 7, 8, 12} and mean will be \(mean=\frac{7+24}{5}=6.2\), so \(median=7>mean=6.2\) and the answer is YES BUT if \(x\) is very large number then the median will be 8: {1, 3, 8, 12, x=very large number} and mean will be more than median (for example if \(x=26\) then \(mean=\frac{26+24}{5}=10\), so \(median=8<10=mean\)) and the answer will be NO. Not sufficient. (2) x is greater than the median of the 5 numbers > so \(median=8\): now, if \(x=11\) then \(mean=\frac{11+24}{5}=7\), so \(median=8>7=mean\) and the answer is YES. Again it's easy to get answer NO with very large \(x\). Not sufficient. (1)+(2) Again, x=11 and x=very large number give two diffrent answers to the question. Not sufficeint. Answer: E. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifxisanintegeristhemedianofthe5numbersshowngre104134.html#p333039
_________________
New to the Math Forum? Please read this: All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics












Similar topics 
Author 
Replies 
Last post 
Similar Topics:


1


Is 5 the median of Set X?

Bunuel 
1 
10 Feb 2017, 21:57 



What is the median of the 5 consecutive integers?

MathRevolution 
2 
04 Jan 2017, 05:11 



What is the median of 5 numbers?

MathRevolution 
2 
14 Dec 2016, 02:56 

1


What is the median of 5 consecutive integers?

MathRevolution 
3 
01 Jun 2017, 02:33 

5


What is the median of the numbers 4, 5, 6, 7, 9, and x?

anon1 
7 
15 Nov 2016, 01:35 



