Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 May 2015, 22:08

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Set X has 5 numbers, whose average is greater than their

Author Message
TAGS:
VP
Joined: 22 Nov 2007
Posts: 1105
Followers: 7

Kudos [?]: 193 [0], given: 0

Set X has 5 numbers, whose average is greater than their [#permalink]  11 Mar 2008, 11:32
1
This post was
BOOKMARKED
Set X has 5 numbers, whose average is greater than their median. Set Y has 7
numbers, whose average is also greater than their median. If the 2 sets have
no number in common and are combined to a new set, is the average of the
new set greater than its median?

(1) The average of Y is greater than the average of X.
(2) The median of Y is greater than the median of X.
Director
Joined: 10 Sep 2007
Posts: 949
Followers: 7

Kudos [?]: 206 [0], given: 0

Re: gmatprep stats [#permalink]  16 Mar 2008, 17:39
What is OA? I think since it is not given numbers are +ve or -ve, so that might lead me to go for E.
Senior Manager
Joined: 15 Aug 2007
Posts: 252
Schools: Chicago Booth
Followers: 1

Kudos [?]: 55 [0], given: 0

Re: gmatprep stats [#permalink]  16 Mar 2008, 20:23
I am guessing it's C because question includes reference to both median and average, but couldn't comeup with a logical way to tackle it. will wait for someone to elighten me!
VP
Joined: 22 Nov 2007
Posts: 1105
Followers: 7

Kudos [?]: 193 [0], given: 0

Re: gmatprep stats [#permalink]  16 Mar 2008, 23:31
sreehari wrote:
I am guessing it's C because question includes reference to both median and average, but couldn't comeup with a logical way to tackle it. will wait for someone to elighten me!

OA is E. anyway, how to tackle this type of ds statistics problem in just 2 minutes?
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2149 [0], given: 359

Re: gmatprep stats [#permalink]  17 Mar 2008, 04:51
Expert's post
Tough one...
I think the fastest way to solve the problem - try to construct examples.

1) 0--XXMAX-------------------------------------------------------------------YYYMAYY
Median of a new set is greater than average.

2)
0--XXMAX--
0---YYYMAYY

Median of a new set is smaller than average.
_________________

HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android) - The OFFICIAL GMAT CLUB PREP APP, a must-have app especially if you aim at 700+ | PrepGame

VP
Joined: 22 Nov 2007
Posts: 1105
Followers: 7

Kudos [?]: 193 [0], given: 0

Re: gmatprep stats [#permalink]  17 Mar 2008, 05:19
walker wrote:
Tough one...
I think the fastest way to solve the problem - try to construct examples.

1) 0--XXMAX-------------------------------------------------------------------YYYMAYY
Median of a new set is greater than average.

2)
0--XXMAX--
0---YYYMAYY

Median of a new set is smaller than average.

hope not to find questions like this in the actual test

anyway, this could be an explanation:

(1) y > x. We know that the average of the elements in X U Y is between x
and y. We can say that at least three of the elements of X are less than
this average. If one element in Y is very large, it could be that all other
elements of Y are less than this average, so However, if all elements of
Y are nearly same, all will be above this average.
For example, suppose x=3 , y=5 and X = { 2,2,2,2,7} .
If Y= {3,3,3, ... , 3 , 17} . The average of the combined set X U Y is
greater than 4, but the median is 4.
Conversely, if Y= {4.9, 4.9,4.9,...,4,9, 5.6}, the median, 4.9 is greater
than the mean of X U Y. NOT SUFF.
(2) Since the median of X is less than the median of Y, the median of X U Y
will be less than the median of Y, but greater than the median of X.
Without information about the averages of the elements in X and those
in Y, we cannot answer the question. In each of the two examples cited
in (1), the median of X is less than the median of Y. NOT SUFF
(T) NOT SUFF
Re: gmatprep stats   [#permalink] 17 Mar 2008, 05:19
Similar topics Replies Last post
Similar
Topics:
2 What is SD of given set of numbers whose average is 5? 4 31 Oct 2010, 04:26
Set X has 5 numbers, thier average is greater than their 3 17 Jun 2007, 12:42
set X has 5 integers, and the average is greater than 1 31 Dec 2006, 17:50
Set X has 5 numbers and its average is greater than its 3 18 Nov 2006, 17:36
Which number in a set P has a value greater than that of 6 07 Nov 2005, 22:45
Display posts from previous: Sort by