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If M is a negative integer and K is a positive integer, which of the f
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20 Sep 2021, 08:54
20 Sep 2021, 08:54
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52% (01:36) wrong based on 17 sessions
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If M is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, M, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) None
I. -1.5
II. -2
III. 0
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) None
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Joined: 10 Apr 2015
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Re: If M is a negative integer and K is a positive integer, which of the f
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20 Sep 2021, 09:03
20 Sep 2021, 09:03
Carcass wrote:
If M is a negative integer and K is a positive integer, which of the following could be the standard deviation of a set {-7, -5, -3, M, 0, 1, 3, K, 7}?
I. -1.5
II. -2
III. 0
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) None
I. -1.5
II. -2
III. 0
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) None
Property 1: The standard deviation of a set of values is always greater than or equal to 0
Property 2: If all values in a set are equal, the standard deviation of the set equals 0
Property 3: If the values in a set are NOT all equal, the standard deviation of the set is greater than 0
Now examine the statements...
I. -1.5 standard deviation cannot be negative.
II. -2 standard deviation cannot be negative.
III. 0 since the values are not all equal, the standard deviation cannot be zero.
Answer: E
Cheers,
Brent
gmatclubot
Re: If M is a negative integer and K is a positive integer, which of the f [#permalink]
20 Sep 2021, 09:03
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