GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
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?
[#permalink]
29 Jul 2021, 12:07
29 Jul 2021, 12:07
2
Bookmarks
00:00
Question Stats:
40% (00:47) correct
59% (00:52) wrong based on 22 sessions
Hide Show timer Statistics
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
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: When will the standard deviation of the set of numbers will change?
[#permalink]
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?
[#permalink]
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
