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value of x

Expert replies
by ddm » Tue Sep 09, 2008 2:53 pm
help
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Source: — Data Sufficiency |

by mim3 » Tue Sep 09, 2008 3:23 pm
1. Tells us that x is the median and can= 8,9,10. We're told that the median=mean, so we can plug in each value (8,9,10) into the rest of the set to find the average. The number that makes the mean=median is the correct answer. If there's more than one correct answer the statement is insufficient:

Again, we know that x is the median, we're trying to find the value that makes the average of the set equal to the median

using x= 8:
(2+7+8+11+16)/5 does not = 8

x=9
(2+7+9+11+16)/5 does = 9

x= 10
(2+7+10+11+16)/5 does not=10

Because 9 is the only value that works, the statement is sufficient

2. Says the same thing as the Statement 1 (x=8,9 or 10) so we know it's sufficient.

Thus, D is the answer.

Hope that helps
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Answer

by gmat_nov_2008 » Tue Sep 09, 2008 4:04 pm
Agree with mim3. (D) it is.
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by pseudononymous » Wed Sep 10, 2008 6:13 am
(1) This tells you that x is the mean. Whenever the the mean=median, the numbers are normally distributed. This tells you that x has to be equally spaced between 7 and 11, which means that it's 9.
(2) See above
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by niraj_a » Sat Sep 13, 2008 1:29 pm
would this be a 600/650/700/700+ level question?
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