Author 
Message 
TAGS:

Hide Tags

Senior Manager
Joined: 08 Aug 2005
Posts: 251

If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
28 Apr 2006, 00:06
2
This post received KUDOS
20
This post was BOOKMARKED
Question Stats:
62% (02:01) correct
38% (01:10) wrong based on 806 sessions
HideShow timer Statistics
This topic is locked. If you want to discuss this question please repost it in the respective forum. x, 3, 1, 12, 8 If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers? (1) x>6 (2) x is greater than median of 5 numbers
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America

Re: GMAT PREP mean and median [#permalink]
Show Tags
28 Apr 2006, 00:55
3
This post was BOOKMARKED
getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
1) x>6 2) x is greater than median of 5 numbers
(1) insuff.
for instance x can be 7 so median is 7 itself and mean around 5 so mean < median, but x can be 1000 in that case median is 8 but mean is way larger so is not enough
(2) that means that x>8 same problem as statement (1)
together nothing
so I would go with E in this one



Manager
Joined: 14 Mar 2006
Posts: 208

Re: GMAT PREP mean and median [#permalink]
Show Tags
28 Apr 2006, 11:48
getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
1) x>6 2) x is greater than median of 5 numbers
I go for E.
1) x>6, so x could be lets say 9, then median is 8, and the avg is 6.6, however if x is lets say 100, the mean is greater then median, so not suff.
2) similarly since x is greater then the median, 8 is the median, from there its similar to 1). not suff
therefore, E is correct.



Senior Manager
Joined: 05 Jan 2006
Posts: 381

1,3,8,12 and Now we need to plug in X
1) x>6...7 to inf
X mean med
7 31/5 7
8 32/5 8
9 33/5 8
100 124/5 8
In suffi
2) x is greater than med
1,3,8,x,12
or
1,3,8,12,x
Again pluging number insufficient
Togather no furthere info
hence E



Manager
Joined: 23 Mar 2006
Posts: 75

Yup E it is. Had the question been what the median is then B is suff



Intern
Joined: 03 Nov 2011
Posts: 10

Re: x, 3, 1, 12, 8 If x is an integer, is the median of 5 [#permalink]
Show Tags
23 May 2012, 20:44
we can arrange this question like this 1,3,x,8,12 or 1,3,8,x,12 or 1,3,8,12,x so st 1 (24+x)/5< x,or 8 or 12 it give three different solution i.e 6<x,x<16,x<36 so seems to not sff
st 2 xis greater > median by arrange he series we get 1 3 8 x 12 or 1 3 8 12 x where 8 is median so 24+x<8 ====>x <16 so foe any value of x it gives different result.
and combining 1 n 2 x>6 and x<16 take any value so it seems to me asn sd be E
if any err let me know plz....



Math Expert
Joined: 02 Sep 2009
Posts: 39633

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
23 May 2012, 23:47
3
This post received KUDOS
Expert's post
7
This post was BOOKMARKED
getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6 (2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 > if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers > median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E.
_________________
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



Manager
Affiliations: Project Management Professional (PMP)
Joined: 30 Jun 2011
Posts: 203
Location: New Delhi, India

Re: GMAT PREP mean and median [#permalink]
Show Tags
30 May 2012, 04:30
conocieur wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
1) x>6 2) x is greater than median of 5 numbers (1) insuff. for instance x can be 7 so median is 7 itself and mean around 5 so mean < median, but x can be 1000 in that case median is 8 but mean is way larger so is not enough (2) that means that x>8 same problem as statement (1) together nothing so I would go with E in this one Thanks for the solution..
_________________
Best Vaibhav
If you found my contribution helpful, please click the +1 Kudos button on the left, Thanks



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

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
15 Feb 2014, 12:37
Bunuel wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6 (2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 > if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers > median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E. I didn't quite understand statement 2, it says that x is greater than median of 5 numbers. Shouldn't it say the same 5 numbers given in the question or something similar? Please advice Thanks Cheers J



Senior Manager
Joined: 06 Aug 2011
Posts: 400

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
15 Feb 2014, 23:50
jlgdr wrote: Bunuel wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6 (2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 > if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers > median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E. I didn't quite understand statement 2, it says that x is greater than median of 5 numbers. Shouldn't it say the same 5 numbers given in the question or something similar? Please advice Thanks Cheers J it means if we say x is 9..then median wd b 8. 1, 3 8,9,12 so x can 9 10 11 or 12 median wud b 8.
_________________
Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15939

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
25 Mar 2015, 14:30
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Senior Manager
Joined: 29 Oct 2013
Posts: 296
Concentration: Finance
GPA: 3.7
WE: Corporate Finance (Retail Banking)

If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
23 Dec 2015, 09:14
1
This post was BOOKMARKED
Mean has a greater flexibility in terms of how big it can get. So for the median to be greater than the mean we need to limit the upward movement of the mean by restricting the value of x. Thus we need a constraint such as x<(certain number) and since neither of the choices does so answer is E. For instance, even if we were given x>0 then say x=1 {1 1 3 8 12} 3>25/5? NO now say x=8 {1 3 7 8 12} 8>(24+8)/5? Yes on the other hand, say if we were given x<6, the answer would be a definitive No would you pls confirm if that logic looks good, Bunuel?
_________________
Please contact me for super inexpensive quality private tutoring
My journey V46 and 750 > http://gmatclub.com/forum/myjourneyto46onverbal750overall171722.html#p1367876



Current Student
Joined: 03 May 2015
Posts: 261
Location: South Africa
Concentration: International Business, Organizational Behavior
GPA: 3.49
WE: Web Development (Insurance)

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
17 Jul 2016, 23:28
Mean = (24 + x) / 5 Median (1,3,8,12,x) so median can be either x or 8 depending on the value of x 1) x > 6 For x = 7, Mean = 6.2 Median = 7 Mean < Median For x = 300 Median = 8, mean much more ( I can put x = 10000000, no limit given) 2) X > Median So x will easily be to the right of 8. Because either x is median or 8 1,3,8,x,12 or 1,3,8,12,x case 1 : x= 10 Mean : 34/5 = 6.8 < median Case 2 : x = 1000000000000000000000000000000000000 Obv mean > median Even combining, x > 8, no definite So E
_________________
Kudos if I helped



Senior Manager
Joined: 02 Mar 2012
Posts: 367

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
18 Jul 2016, 00:19
tke x=10 for one case and x=1000 for other
E is the answer



Manager
Joined: 08 Jan 2015
Posts: 86

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
06 Aug 2016, 04:59
I solved it in the following way:
Is median (M) > average? Rephrase it as M > (24+X)/5 => Is X < 5M  24.
1) X > 6, say X = 7, then M=X=7 and 5*724 > 7 => 11 > 7  answer is YES If X = 100, then M=8, then 5*8  24 = 16, which is less than X=100  answer is NO
Not sufficient
2) X > M, then say X = 9, then M = 8 and 5*8  24 = 16 > 9  answer is YES If X = 100, then M=8, then 5*8  24 = 16, which is less than X=100  answer is NO
Not sufficient
3) Nothing changes, both options explored previously give different results.



Manager
Joined: 27 Aug 2014
Posts: 64

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
04 Oct 2016, 07:25
Hi Bunuel Just to add another dimension to this question, what if statement 1 said x<6 In this case, tmt 1 can no longer be used along with stmt too for an answer E but guess the answer will remain at E. I am assuming negative 10 and 5 as x values for stmt 1. Can I know your thought process for deciding between C and E please? Tx. Bunuel wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6 (2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 > if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers > median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E.



Intern
Joined: 24 Apr 2016
Posts: 11
Location: Germany
Concentration: Finance
WE: Analyst (Other)

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
17 Dec 2016, 12:24
jlgdr wrote: Bunuel wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6 (2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 > if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers > median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E. I didn't quite understand statement 2, it says that x is greater than median of 5 numbers. Shouldn't it say the same 5 numbers given in the question or something similar? Please advice Thanks Cheers J I think the wording for (2) is not absolutely correct. In the original question (GMAT Prep Exam) statement (2) says "x is greater than the median of THE 5 numbers", which is different than "x is greater than the median of 5 numbers". Hope this helps!



Intern
Joined: 05 Oct 2016
Posts: 11

Re: If x is an integer, is the median of 5 numbers shown greater [#permalink]
Show Tags
12 Feb 2017, 03:12
Bunuel wrote: getzgetzu wrote: x, 3, 1, 12, 8
If x is an integer, is the median of 5 numbers shown greater than the average of 5 numbers?
(1) x>6 (2) x is greater than median of 5 numbers Given set {1, 3, 8, 12, x} The questions asks whether median>average, or whether median>(24+x)/5. (1) x>6 > if x=11 then median=8 (the middle number) and average=(24+x)/5=7, so median>average but if x=16 then median=8 and average=(24+x)/5=8, so median=average. Not sufficient. (2) x is greater than median of 5 numbers > median=8. Not sufficient. (1)+(2) Examples from (1) are still valid so we still have two different answers. Not sufficient. Answer: E. Hi bunuel, for this qn i have took x as 7,10 & 14 and got ans as D. plugin method is driving me crazy. how do we get to know this type of errors while doing plugin method??
_________________
success is the best revenge




Re: If x is an integer, is the median of 5 numbers shown greater
[#permalink]
12 Feb 2017, 03:12








Similar topics 
Author 
Replies 
Last post 
Similar Topics:




What is the median of 5 numbers?

MathRevolution 
2 
14 Dec 2016, 02:56 

7


x is an integer greater than 7. What is the median of the set of integ

Bunuel 
8 
04 Mar 2016, 18:40 

5


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

anon1 
7 
15 Nov 2016, 01:35 

1


A series of 5 numbers is 3, 4, 5, 5, x, is the range greater

144144 
3 
07 Mar 2017, 06:02 

6


If x is an integer, is the median of the 5 numbers shown gre

msunny 
4 
15 Apr 2014, 08:03 



