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micky577
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Set S consist of 5 consecutive integer number. Set T 17 Oct 2008, 10:09
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Set S consist of 5 consecutive integer number. Set T consisit of 7 consecutive number. Is median of set S equal to median of set T?

1. Median of the numbers in set S is zero.

2. Sum of the numbers in set S is equal to sum of the numbers is set T.



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Set S consist of 5 consecutive integer number. Set T 17 Oct 2008, 13:00
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C.

Stmt1 does not mention anything about set T. Hence, insufficient.
From stmt2:
(x-2) + (x-1) + x + (x+1) + (x+2) = 5x
(y-3)+(y-2)+(y-1)+y+(y+1)+(y+2)+(y+3)=7y

And, 5x = 7y and x and y will never be the same except for x = y = 0.
And, x =0 comes from stmt1. Hence, C should be the answer.
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micky577
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Set S consist of 5 consecutive integer number. Set T 17 Oct 2008, 13:22
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You are right. In statment 2 we can not have untill x and y are zero. But that mean median is 0 for set S and T. So B is sufficient. So how you get answer C.
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Set S consist of 5 consecutive integer number. Set T 17 Oct 2008, 13:27
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micky577
You are right. In statment 2 we can not have untill x and y are zero. But that mean median is 0 for set S and T. So B is sufficient. So how you get answer C.
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Mean median of both sets will be the same only when it is 0. Stmt 2 is not sufficient as for other values also, stmt2 satisfies. For example, if mean median of S is 7 and of T is 5 then
for S, 5+6+7+8+9 = 35 and for T, 2+3+4+5+6+7+8=35.



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