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Set S consists of five consectuve integers, and set T [#permalink]
17 Apr 2008, 16:43

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Set S consists of five consectuve integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

C1. The median of the numbers in set S is 0.

C2. The sum of the numbers in set S is equal to the sum of the numbers in set T.

Re: DS median of sets [#permalink]
17 Apr 2008, 18:20

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This post received KUDOS

Given set S = {a-2d,a-d,a,a+d,a+2d}, where d = 1, and a is any integer. So median of set S = a, and Average = 5a/5 = a

Given set T = {b-3d,b-2d,b-d,b,b+d,b+2d,b+3d}, where d = 1, and b is any integer. So median of set T = b, and Average = 7b/7 = b

Statement 1: Tells us median of set S = 0 => a = 0, But this statement tells us nothing about T, so insufficient.

Statement 2: Tells us 5a = 7b => a = 7b/5, which means a (median of set S) is not equal to b(median of set T) provided b is not equal to 0, otherwise a will become 0, so this statement alone is not sufficient.

Combining both statements: From statement one we know a=0, so statement two tells us b is also zero. So both sets have same median.

Re: DS median of sets [#permalink]
17 Apr 2008, 19:34

abhijit_sen wrote:

Given set S = {a-2d,a-d,a,a+d,a+2d}, where d = 1, and a is any integer. So median of set S = a, and Average = 5a/5 = a

Given set T = {b-3d,b-2d,b-d,b,b+d,b+2d,b+3d}, where d = 1, and b is any integer. So median of set T = b, and Average = 7b/7 = b

Statement 1: Tells us median of set S = 0 => a = 0, But this statement tells us nothing about T, so insufficient.

Statement 2: Tells us 5a = 7b => a = 7b/5, which means a (median of set S) is not equal to b(median of set T) provided b is not equal to 0, otherwise a will become 0, so this statement alone is not sufficient.

Combining both statements: From statement one we know a=0, so statement two tells us b is also zero. So both sets have same median.

Re: DS median of sets [#permalink]
18 Apr 2008, 22:57

abhijit_sen wrote:

Given set S = {a-2d,a-d,a,a+d,a+2d}, where d = 1, and a is any integer. So median of set S = a, and Average = 5a/5 = a

Given set T = {b-3d,b-2d,b-d,b,b+d,b+2d,b+3d}, where d = 1, and b is any integer. So median of set T = b, and Average = 7b/7 = b

Statement 1: Tells us median of set S = 0 => a = 0, But this statement tells us nothing about T, so insufficient.

Statement 2: Tells us 5a = 7b => a = 7b/5, which means a (median of set S) is not equal to b(median of set T) provided b is not equal to 0, otherwise a will become 0, so this statement alone is not sufficient.

Combining both statements: From statement one we know a=0, so statement two tells us b is also zero. So both sets have same median.

Answer C.

Abhijit, My hunch is, Answer could be B here

I think , for 2 sets of "consecutive" number, 5a=7b is possible only when a=b=0 Which makes B SUFFICIENT.

Can you think of example where B is not sufficient ?