Mean

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 83
Joined: Sat Feb 26, 2011 11:22 am
Thanked: 1 times
Followed by:1 members

Mean

by MI3 » Sat Jul 16, 2011 5:01 am
Q. If every member of set X {-14, -12, 17, 28, 41, Z} is multiplied by number N, by what percent will the mean M of the set increase?
(1) Z = 60 (2) N = Z / M

IMO - C, am i correct?

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sat Jul 16, 2011 9:42 pm
MI3 wrote:Q. If every member of set X {-14, -12, 17, 28, 41, Z} is multiplied by number N, by what percent will the mean M of the set increase?
(1) Z = 60 (2) N = Z / M
The mean of the set, M = (-14 - 12 + 17 + 28 + 41 + Z)/6 = (60 + z)/6
After multiplication the new mean, M' = (60 + Z)*N/6 = NM

Hence, percentage increase = 100*(NM - M)/M = 100*(N - 1)
Thus, the percentage increase depends only upon the value of N.

Only both statements together, we can determine the value of N.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/