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Mean Median Range

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by jerryragland » Sun Apr 25, 2010 12:52 pm
Source OG 11

S is a set containing 9 different numbers. T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true.

a. The mean of S is equal to the mean of T
b. The median of S is equal to the median of T
b. The range of S is equal to the range of T
d. The mean of S is greater than the mean of T
e. The range of S is less than the range of T

[spoiler]ANS: E[/spoiler]

The question is solved by picking numbers. Is there a way to solve it with out picking numbers?
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by moliver » Sun Apr 25, 2010 12:55 pm
e) the range of S cannot be less than the range of T since T is include in S.
Try it with 3 numbers for example.

If you have question with the other answer please let me know
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by Stuart@KaplanGMAT » Sun Apr 25, 2010 1:53 pm
moliver wrote:e) the range of S cannot be less than the range of T since T is include in S.
Try it with 3 numbers for example.

If you have question with the other answer please let me know
Correct - if we understand the definitions of the terms, we can reason our way to (E) being definitely false.

Range is the distance between the extreme members of the set, or simply the biggest number minus the smallest number.

Since every member of T is also a member of S, there's no way to generate a bigger range for T.
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