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The list l consists of four integers w^2, x^2, y^2, z^2 in increasing

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The list l consists of four integers w^2, x^2, y^2, z^2 in increasing  [#permalink]

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New post 05 Feb 2020, 09:42
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The list l consists of four integers w^2, x^2, y^2, z^2 in increasing order. Which of the following list of integers must have the same standard deviation as list L?

(A) w, x, y, z

(B) w^2 - 4, x^2 - 4, y^2 - 4, z^2 ¬- 4

(C) w^4, x^4, y^4, z^4

(D) w^2/ 2, x^2/ 2, y^2/ 2, z^2/ 2

(E) 4w^2, 4x^2, 4y^2, 4z^2

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Re: The list l consists of four integers w^2, x^2, y^2, z^2 in increasing  [#permalink]

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New post 09 Feb 2020, 05:19
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sjuniv32 wrote:
The list l consists of four integers w^2, x^2, y^2, z^2 in increasing order. Which of the following list of integers must have the same standard deviation as list L?

(A) w, x, y, z

(B) w^2 - 4, x^2 - 4, y^2 - 4, z^2 ¬- 4

(C) w^4, x^4, y^4, z^4

(D) w^2/ 2, x^2/ 2, y^2/ 2, z^2/ 2

(E) 4w^2, 4x^2, 4y^2, 4z^2

Source: GMAT Quantum Math Course


Since the standard deviation of a set does not change when we subtract a constant from each term in a set, w^2, x^2, y^2, z^2 has the same standard deviation as w^2 - 4, x^2 - 4, y^2 - 4, z^2 - 4.

Answer: B
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Re: The list l consists of four integers w^2, x^2, y^2, z^2 in increasing  [#permalink]

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New post 05 Feb 2020, 20:10
can you please explain the answer ???
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Re: The list l consists of four integers w^2, x^2, y^2, z^2 in increasing   [#permalink] 05 Feb 2020, 20:10

The list l consists of four integers w^2, x^2, y^2, z^2 in increasing

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