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If j, k, m, n, and p are consecutive positive integers such that
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13 Aug 2021, 09:39
13 Aug 2021, 09:39
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Question Stats:
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I. j, k, m, n, p
II. j − 10, m, m, m, p + 15
III. j + 2, k + 1, m, n − 1, p − 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
(A) I, III, II
(B) II, I, III
(C) II, III, I
(D) III, I, II
(E) III, II, I
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
II. j − 10, m, m, m, p + 15
III. j + 2, k + 1, m, n − 1, p − 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
(A) I, III, II
(B) II, I, III
(C) II, III, I
(D) III, I, II
(E) III, II, I
Kudos for the right answer and explanation
Question part of the project GRE Quant/Math Extreme Challenge Daily (2021) Edition
GRE - Math Book
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Re: If j, k, m, n, and p are consecutive positive integers such that
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14 Aug 2021, 09:22
14 Aug 2021, 09:22
1
Carcass wrote:
I. j, k, m, n, p
II. j − 10, m, m, m, p + 15
III. j + 2, k + 1, m, n − 1, p − 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
(A) I, III, II
(B) II, I, III
(C) II, III, I
(D) III, I, II
(E) III, II, I
II. j − 10, m, m, m, p + 15
III. j + 2, k + 1, m, n − 1, p − 2
If j, k, m, n, and p are consecutive positive integers such that j < k < m < n < p, the data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
(A) I, III, II
(B) II, I, III
(C) II, III, I
(D) III, I, II
(E) III, II, I
Remember: Greater the range, greater is the SD
I. j, k, m, n, p
Range = p - j
II. j − 10, m, m, m, p + 15
Range = p + 15 - (j - 10) = p - j + 25
III. j + 2, k + 1, m, n − 1, p − 2
Range = p - 2 - (j + 2) = p - j - 4
So, the order is II, I and then III
Hence, option B
If j, k, m, n, and p are consecutive positive integers such that
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03 Dec 2021, 16:23
03 Dec 2021, 16:23
1
let the set be
1,2,3,4,5
I. 1,2,3,4,5
II. -9,3,3,3,20
III. 3,3,3,3,3
III is a constant list so the standard deviation is 0. The other lists are not constant so their standard deviations are more than 0.
The only choice with III as the list with least standard deviation is B
Final Answer: B
1,2,3,4,5
I. 1,2,3,4,5
II. -9,3,3,3,20
III. 3,3,3,3,3
III is a constant list so the standard deviation is 0. The other lists are not constant so their standard deviations are more than 0.
The only choice with III as the list with least standard deviation is B
Final Answer: B
