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

 It is currently 05 Jul 2015, 21:08

### 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

# GMATPrep Arithmetic mean and median

Author Message
TAGS:
Intern
Joined: 09 Sep 2006
Posts: 2
Location: Raleigh, NC
Followers: 0

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

GMATPrep Arithmetic mean and median [#permalink]  21 Sep 2006, 18:34
Please explain how to solve this problem

A list of measurements in increasing order is 4,5,6,8,10 and X.If the median of these measurements is 6/7 times their arithmetic mean, what is the value of X?

VP
Joined: 29 Dec 2005
Posts: 1348
Followers: 7

Kudos [?]: 37 [1] , given: 0

Re: GMATPrep Arithmetic mean and median [#permalink]  21 Sep 2006, 20:34
1
KUDOS
Olivia wrote:
Please explain how to solve this problem

A list of measurements in increasing order is 4,5,6,8,10 and X.If the median of these measurements is 6/7 times their arithmetic mean, what is the value of X?

median = (6+8)/2 = 7
mean = (4+5+6+8+10+x)/6

median = 6/7 (mean)
7 = (6/7) {(4+5+6+8+10+x)/6}
x = 49 - (4+5+6+8+10)
x = 49 - (33)
x = 16

hope i didnot do any wrong calculations...........
Manager
Joined: 13 Sep 2006
Posts: 198
Schools: Olin Business School - Washington University
Followers: 1

Kudos [?]: 21 [0], given: 0

Don't see how it could possibly be 15 - I used same calc as Professor and got 16.
SVP
Joined: 05 Jul 2006
Posts: 1516
Followers: 5

Kudos [?]: 126 [0], given: 39

A list of measurements in increasing order is 4,5,6,8,10 and X.If the median of these measurements is 6/7 times their arithmetic mean, what is the value of X?

MEDIAN = 6+8 / 2 = 7

Mean = 33+x / 6

Median = 6/7(33+x / 6 ) = 7

6(33+x) / 42 = (33+x) / 7 = 7.....ie: 33+x = 49 thus x = 16

Olivia no way this could be 15
Intern
Joined: 09 Sep 2006
Posts: 2
Location: Raleigh, NC
Followers: 0

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

Thank you very much for explanation.
I am sorry the correct answer is 16. I just wrote the wrong number.
Similar topics Replies Last post
Similar
Topics:
mean=median 1 02 Nov 2009, 10:33
gmatprep_mean_median_home price 3 24 Mar 2009, 10:25
GMATPrep - Median, Mean 2 04 May 2007, 12:44
Gmatprep Mean Median 5 02 Dec 2006, 19:24
Mean / Median 3 26 May 2006, 19:02
Display posts from previous: Sort by