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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Which of the following triples of numbers have the same standard devia
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23 Jul 2022, 08:17
23 Jul 2022, 08:17
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Question Stats:
75% (01:13) correct
25% (00:57) wrong based on 4 sessions
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Which of the following triples of numbers have the same standard deviation as the numbers r, s, and t?
I. r-2, s-2, t-2
II. 0, r-s, t-s
III. r-4, s+5, t-1
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
I. r-2, s-2, t-2
II. 0, r-s, t-s
III. r-4, s+5, t-1
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
Re: Which of the following triples of numbers have the same standard devia
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24 Jul 2022, 16:34
24 Jul 2022, 16:34
Expert Reply
If we add or subtract a constant to each term in a set the standard deviation will not change.
Set {r-2, s-2, t-2} is obtained by subtracting 2 from each term of {r, s, t}.
Set {0, r-s, t-s} is obtained by subtracting s from each term of {r, s, t}.
Set {r-4, s+5, t-1} is totally different from {r, s, t}.
Thus the answer is I and II only.
Answer: C.
Set {r-2, s-2, t-2} is obtained by subtracting 2 from each term of {r, s, t}.
Set {0, r-s, t-s} is obtained by subtracting s from each term of {r, s, t}.
Set {r-4, s+5, t-1} is totally different from {r, s, t}.
Thus the answer is I and II only.
Answer: C.
gmatclubot
Re: Which of the following triples of numbers have the same standard devia [#permalink]
24 Jul 2022, 16:34
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