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16 Sep 2014, 00:15
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If the list Q consists of 10 numbers, and the range of Q is zero, what is the standard deviation of Q?
A. 0
B. 1
C. 3.33
D. 5
E. 10
A. 0
B. 1
C. 3.33
D. 5
E. 10
16 Sep 2014, 00:15
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Official Solution:
If the list Q consists of 10 numbers, and the range of Q is zero, what is the standard deviation of Q?
A. 0
B. 1
C. 3.33
D. 5
E. 10
In order to have a list with a range of zero, all the elements in the list must be the same. If all the elements in the list are the same, then the standard deviation is 0.
Notice that the standard deviation of a list is always greater than or equal to zero: \(SD \geq 0\). SD is 0 if and only if the list contains all identical elements (or consists of only one element).
Answer: A
If the list Q consists of 10 numbers, and the range of Q is zero, what is the standard deviation of Q?
A. 0
B. 1
C. 3.33
D. 5
E. 10
In order to have a list with a range of zero, all the elements in the list must be the same. If all the elements in the list are the same, then the standard deviation is 0.
Notice that the standard deviation of a list is always greater than or equal to zero: \(SD \geq 0\). SD is 0 if and only if the list contains all identical elements (or consists of only one element).
Answer: A
General Discussion
haihai89
Joined: 09 May 2013
Last visit: 26 Feb 2016
Posts: 28
Given Kudos: 64
Location: United States
Concentration: Entrepreneurship, Marketing
Schools: DeGroote FT 15 Alberta University
GPA: 3.28
WE:Business Development (Consumer Packaged Goods)
31 Oct 2014, 11:05
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Dear Bunnuel,
You explained "In order to have a set with the range of zero, all of the elements in the set must be the same. If all the elements in the set are the same, then the standard deviation is 0." but I suppose it is not always true.
For example, the range of the set consisting (-10, 1,2,....8,9,10) is still 0 but the set contains different elements.
Please correct me if I'm wrong.
Thank you!
You explained "In order to have a set with the range of zero, all of the elements in the set must be the same. If all the elements in the set are the same, then the standard deviation is 0." but I suppose it is not always true.
For example, the range of the set consisting (-10, 1,2,....8,9,10) is still 0 but the set contains different elements.
Please correct me if I'm wrong.
Thank you!
