5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
gmat prep Q
This topic has expert replies
-
vaivish
- Master | Next Rank: 500 Posts
- Posts: 371
- Joined: Tue Apr 29, 2008 10:16 am
- Thanked: 6 times
- Followed by:1 members
please help on this one..
- Attachments
-
- gmat prep Q.doc
- (77.5 KiB) Downloaded 90 times
-
Toph@GMAT_REBOOT
- Master | Next Rank: 500 Posts
- Posts: 154
- Joined: Sun Aug 10, 2008 4:58 am
- Thanked: 29 times
- GMAT Score:790
Mean = 1 + 3 + 8 + 12 + x = 24 + x
Median = 3, if x =< 3
= x, if 3 =< x =< 8
= 8, if x >= 8.
Statement 1: X > 6
If X is 7, then the median is = x (aka 7) and the mean is 31/5 or 6.2.
However, if X is 26, then the median is 8, and the mean is 50/5 or 10
Insufficient.
Statement 2: X is greater than the median of the 5 numbers. So statement 2 essentially says X > 8. We already know from looking at statement 1 that the mean can be > than the median if x = 26.
Now let's try 9. Median is 8. Mean is 33/5 or 6.6. Median > Mean.
Insufficient.
Putting the statements together still only leaves us with X > 8. So together the statements are still insufficient.
Median = 3, if x =< 3
= x, if 3 =< x =< 8
= 8, if x >= 8.
Statement 1: X > 6
If X is 7, then the median is = x (aka 7) and the mean is 31/5 or 6.2.
However, if X is 26, then the median is 8, and the mean is 50/5 or 10
Insufficient.
Statement 2: X is greater than the median of the 5 numbers. So statement 2 essentially says X > 8. We already know from looking at statement 1 that the mean can be > than the median if x = 26.
Now let's try 9. Median is 8. Mean is 33/5 or 6.6. Median > Mean.
Insufficient.
Putting the statements together still only leaves us with X > 8. So together the statements are still insufficient.
