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Bunuel
nkmungila
3,5,10,7,x.

If x is an integer, is the mean of the five numbers shown greater than the median of these number?

1. x>3
2. x<7

Similar question from GMAT Prep: https://gmatclub.com/forum/if-x-is-an-i ... 04134.html

If x= 5, then mean = median. Not sufficient. What am i missing here?
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Bunuel
nkmungila
3,5,10,7,x.

If x is an integer, is the mean of the five numbers shown greater than the median of these number?

1. x>3
2. x<7

Similar question from GMAT Prep: https://gmatclub.com/forum/if-x-is-an-i ... 04134.html

If x= 5, then mean = median. Not sufficient. What am i missing here?

If x= 5, then the mean = 6, not 5, while median = 5.
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nkmungila
3,5,10,7,x.

If x is an integer, is the mean of the five numbers shown greater than the median of these number?

1. x>3
2. x<7

So if I combine both statements, I get definite values of x as 4,5,6.

But If I only consider statement 1 and consider the value of x to be 11, I get:
3,5,7,10,11
Mean=36/5=7.2
Median is 7.
So Mean>Median.

So Why exactly do we need statement 2 here?

Thank you in advance!
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TheNightKing
nkmungila
3,5,10,7,x.

If x is an integer, is the mean of the five numbers shown greater than the median of these number?

1. x>3
2. x<7

So if I combine both statements, I get definite values of x as 4,5,6.

But If I only consider statement 1 and consider the value of x to be 11, I get:
3,5,7,10,11
Mean=36/5=7.2
Median is 7.
So Mean>Median.

So Why exactly do we need statement 2 here?

Thank you in advance!

you just did not test all the possible cases. With x=10 => the Median now is 35/5=7, the Mean now is 7. With this case, 7=7 so you just cannot jump into conclusion that statement 1 is sufficient.
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churuand
TheNightKing
nkmungila
3,5,10,7,x.

If x is an integer, is the mean of the five numbers shown greater than the median of these number?

1. x>3
2. x<7

So if I combine both statements, I get definite values of x as 4,5,6.

But If I only consider statement 1 and consider the value of x to be 11, I get:
3,5,7,10,11
Mean=36/5=7.2
Median is 7.
So Mean>Median.

So Why exactly do we need statement 2 here?

Thank you in advance!

you just did not test all the possible cases. With x=10 => the Median now is 35/5=7, the Mean now is 7. With this case, 7=7 so you just cannot jump into conclusion that statement 1 is sufficient.

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