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Powerprep - Mean, Median, Range [#permalink]
 30 Apr 2007, 09:24
Could anyone please explain this?
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Re: Powerprep - Mean, Median, Range [#permalink]
30 Apr 2007, 11:30
suniluic wrote: Could anyone please explain this?
1. suppose
S = 1,2,3,4,5,6,7,8 & 9
T = 1,2,3,4,6,7,8 & 9
mean of S = mean T = 5
2. suppose
S = 1,2,3,4,5,6,7,8 & 9
T = 1,2,3,4,6,7,8 & 9
median of S = median of T = 5
3. suppose
S = 1,2,3,4,5,6,7,8 & 9
T = 1,2,3,4,6,7,8 & 9
range of S = range of T = 8
4. suppose
S = 1,2,3,4,5,6,7,8 & 9
T = 1,2,3,4,5, 6,7, & 8
mean of S is 5 > mean of T is 4.5
5. suppose
S = 1,2,3,4,5,6,7,8 & 9
T = 1,2,3,4,5,6,7, & 8
the highest range of S is 8, which is also the highest range of T as well. therefore range of S cannot be smaller than the range of T.
So E is incorrect.
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T belongs to S then the range of S can not be smaller than the range of T.
Answer E.
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Re: Powerprep - Mean, Median, Range [#permalink]
01 May 2007, 09:22
If the second set is contained in the 1st, it´ll always be possible that both have the same mean, median, range. What will never happen is that the second set, a subset of the 1st one, has a greater range. Thus, E.
Also, if you are going to scan or post images directly from the tests, please reduce/resize them, it´s a bit unconfortable to read from those extra-bulky images. Thanx
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Re: Powerprep - Mean, Median, Range [#permalink]
01 May 2007, 10:28
I just used a smaller sample so it's easier to handle.
S contains 1, 2, 3, 4, 5
T could be any of the four numbers in S.
Mean of S = 3
Range of S = 5-1 = 4
Median of S = 3
We can pick any of the 4 numbers (without repeats) in Set T to test the statements.
A. If T contains 1, 2, 4, 5. Mean of T = 3
B. If T contains 1, 2, 4, 5. Median of T is 3
C. If T contains 1, 2, 4, 5. Range of T is 5-1=4
D. If T contains 1, 2, 3, 4. Mean of T = 2.5, which is less than Mean of S.
E. Range of S is 4. Here, no matter which 4 numbers you pick for T you can get a range that is greater than 4.
So E is the answer.
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Re: Powerprep - Mean, Median, Range
[#permalink]
01 May 2007, 10:28
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