If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers
(1) The integers in the set are consecutive multiples of 3.
(2) The median of the set of integers is 33
OA C
Source: GMAT Prep
If m is a positive odd integer, what is the average (arithme
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
For any EVENLY SPACED SET:BTGmoderatorDC wrote:If m is a positive odd integer, what is the average (arithmetic mean) of a certain set of m integers
(1) The integers in the set are consecutive multiples of 3.
(2) The median of the set of integers is 33
average = median
Statement 1:
Here, the set consists of consecutive multiples of 3 and thus is evenly spaced.
Case 1: 3, 6, 9
Average = median = 6.
Case 2: 6, 9, 12
Average = median = 9.
Since different averages are possible, INSUFFICIENT.
Statement 2:
Case 1: 33, 33, 33
Average = median = 33.
Case 2: 33, 33, 1000
Here, the average is clearly greater than 33.
Since different averages are possible, INSUFFICIENT.
Statements combined:
Since the set consists of multiples of 3 and thus is evenly spaced, average = median = 33.
SUFFICIENT.
The correct answer is C.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3