The sum of the integers in a list is the same as the sum of the integers in list T. Does S contain more integers than T?
(1) The average (arithmetic mean) of the integers in S is less than the average of the integers in T.
(2) The median of the integers in S is greater than the median of the integers in T.
Gmat Prep Ques
This topic has expert replies
- Patrick_GMATFix
- GMAT Instructor
- Posts: 1052
- Joined: Fri May 21, 2010 1:30 am
- Thanked: 335 times
- Followed by:98 members
B cannot be right because although statement 2 tells us which median is greater we have no way to tell which list has more integers. The lists could be S={1,3,4} and T={0,1,7} (S has greater median but sum of lists are equal). In this case S does not contain more integers than T. However the lists could instead be S={0,3,3,4} and T={0,1,9}. In this case S contains more integers than T.
Thus from the 2nd statement we cannot determine whether S contains more values.
The official answer is A, though I have a problem with statement 1 being sufficient. In effect, I think that the official answer assumes that the sum is positive, something we actually don't know.
Anyway, a fuller discussion and video solution can be found at GMATPrep Question 1335. To create drills with similar questions, set topic='Sets & Groups and Statistics' and difficulty='600-700 & 700+' in the Drill Generator.
-Patrick
Thus from the 2nd statement we cannot determine whether S contains more values.
The official answer is A, though I have a problem with statement 1 being sufficient. In effect, I think that the official answer assumes that the sum is positive, something we actually don't know.
Anyway, a fuller discussion and video solution can be found at GMATPrep Question 1335. To create drills with similar questions, set topic='Sets & Groups and Statistics' and difficulty='600-700 & 700+' in the Drill Generator.
-Patrick
- Check out my site: GMATFix.com
- To prep my students I use this tool >> (screenshots, video)
- Ask me about tutoring.