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If the positive number d is the standard deviation of n, k and p then

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GeminiHeat
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If the positive number d is the standard deviation of n, k and p then [#permalink] New post   06 Feb 2023, 21:58
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If the positive number d is the standard deviation of n, k and p then the standard deviation of n+1, k+1 and p+1 is

(A) d+3
(B) d+1
(C) 6d
(D) 3d
(E) d
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E
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sooshii
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Re: If the positive number d is the standard deviation of n, k and p then [#permalink] New post   08 Feb 2023, 06:06
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Ans is E
Std Dev does not change if the same number is subtracted or added to all the elements. It remains unchanged
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Re: If the positive number d is the standard deviation of n, k and p then [#permalink] New post   08 Feb 2023, 10:11
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Standard deviation depends on the relative placement of numbers with respect to each other only.

So standard deviation in these two cases is the same :

--------n---k-----p-----------
----------n---k-----p---------

Hence the standard deviation of the new set will be d only.

Answer (E)
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Re: If the positive number d is the standard deviation of n, k and p then [#permalink] New post   08 Nov 2024, 17:28
Standard deviation of series is subject to change only in case of multiplication and division same as the range of the series unlike mean, mode and median!
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Re: If the positive number d is the standard deviation of n, k and p then [#permalink]
08 Nov 2024, 17:28
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