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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
When will the standard deviation of the set of numbers will change?
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29 Jul 2021, 12:07
29 Jul 2021, 12:07
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When the standard deviation of the set of numbers does change?
(A) Each number is increased by 5
(B) Each number is decreased by 5
(C) Each number is multiplied by -1
(D) Mean of the numbers increases
(E) There is no correct answer
(A) Each number is increased by 5
(B) Each number is decreased by 5
(C) Each number is multiplied by -1
(D) Mean of the numbers increases
(E) There is no correct answer
Retired Moderator
Joined: 16 Apr 2020
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Re: When will the standard deviation of the set of numbers will change?
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29 Jul 2021, 20:23
29 Jul 2021, 20:23
1
motion2020 wrote:
When the standard deviation of the set of numbers does change?
(A) Each number is increased by 5
(B) Each number is decreased by 5
(C) Each number is multiplied by -1
(D) Mean of the numbers increases
(E) There is no correct answer
(A) Each number is increased by 5
(B) Each number is decreased by 5
(C) Each number is multiplied by -1
(D) Mean of the numbers increases
(E) There is no correct answer
Remember: Whenever we add or subtract a constant to/from each term in the set, SD and Range does not change. Also, Mean, Median and Mode will change by the constant itself.
Hence, option E
Re: When will the standard deviation of the set of numbers will change?
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03 Dec 2021, 16:14
03 Dec 2021, 16:14
1
Let Set A= 1,2,3,4,5
the data is spread by a distance of 1 between consecutive values
Fact: if the spread is the same, the standard deviation is the same
A) 6,7,8,9,10 --> spread is the same NO
B) -4, -3, -2, -1, 0 --> spread is the same NO
C) -1,-2,-3,-4,-5 -->spread is the same NO
D) Add number -1000 to the list and the mean will decrease and the standard deviation will also increase NO
Final Answer: E
the data is spread by a distance of 1 between consecutive values
Fact: if the spread is the same, the standard deviation is the same
A) 6,7,8,9,10 --> spread is the same NO
B) -4, -3, -2, -1, 0 --> spread is the same NO
C) -1,-2,-3,-4,-5 -->spread is the same NO
D) Add number -1000 to the list and the mean will decrease and the standard deviation will also increase NO
Final Answer: E
