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# Is the deviation of x, y, and z equal to the deviation of

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Senior Manager
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Is the deviation of x, y, and z equal to the deviation of [#permalink]

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06 May 2006, 04:07
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is the deviation of x, y, and z equal to the deviation of 10, 15, 20?

1) x-y=5
2) x-z=10
VP
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Re: Deviation of 10, 15, 20 [#permalink]

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10 May 2006, 21:06
getzgetzu wrote:
Is the deviation of x, y, and z equal to the deviation of 10, 15, 20?

1) x-y=5
2) x-z=10

E... we donot know the value of x????
Director
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10 May 2006, 21:39
I am not pretty sure but i think it is C)
A and B by itself are both insufficient. The third value is missing.
From both A) X=5+Y and B) X=10+Z and 5+Y=10+Z then Y=5+Z and from B) X=10+Z, then the values are Z, 5+Z, 10+Z and the deviation is 5 as it is in the stem.
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11 May 2006, 02:24
SD of 5, 10, 15 is 5.

Statement 1 says , x - y = 5.
But we dont know about z to decide.

Statement 2 says x-z = 10.
But we dont know position of y.

But combing these two,
we know that the numbers come in the order x y z with a difference of 5 each. SD = 5 . [We do not need value of y. We just want to know the difference between other nos and y. ]

Hence C.
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11 May 2006, 02:31
Agree with BG.
Think it's C.
Try to pick up numbers
let's say y=15 then x=5+y=15+5=20 and z=x-10=10. So we have 10 15 20 and deviation is the same...moreover in general case as BG has shown we have numbers like Z,Z+5,Z+10 and we know that D(x)=sqrt((X-avg(X,Y,Z))^2+(Y-avg(X,Y,Z))^2+(Z-avg(X,Y,Z))^2)/(n-1) so we can see that the difference in bracket would be always the same if the number follow the pattern Z,Z+5,Z+10....
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11 May 2006, 10:32
BG wrote:
I am not pretty sure but i think it is C)
A and B by itself are both insufficient. The third value is missing.
From both A) X=5+Y and B) X=10+Z and 5+Y=10+Z then Y=5+Z and from B) X=10+Z, then the values are Z, 5+Z, 10+Z and the deviation is 5 as it is in the stem.

Great explanation! I guess I fell for the trap.

OA pls?
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11 May 2006, 10:52
TeHCM wrote:
BG wrote:
I am not pretty sure but i think it is C)
A and B by itself are both insufficient. The third value is missing.
From both A) X=5+Y and B) X=10+Z and 5+Y=10+Z then Y=5+Z and from B) X=10+Z, then the values are Z, 5+Z, 10+Z and the deviation is 5 as it is in the stem.

Great explanation! I guess I fell for the trap.
OA pls?

sorry guys i forget to apply range concept. if the range of a given number of observations is equal with the same no of observations, the SDs of these observations are equal and its toooooo late to apply this concept.

i misjudged that SD is higher with higher values....
11 May 2006, 10:52
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