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16 Sep 2014, 00:48
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What is the standard deviation of list \(S\)?
(1) List \(S\) consists of 10 even integers.
(2) The range of list \(S\) is 18.
(1) List \(S\) consists of 10 even integers.
(2) The range of list \(S\) is 18.
16 Sep 2014, 00:48
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Official Solution:
What is the standard deviation of list \(S\)?
(1) List \(S\) consists of 10 even integers.
Knowing that the list consists of 10 even integers does not give any specific information about their distribution or values. Not sufficient.
(2) The range of list \(S\) is 18.
The range of the list being 18 merely informs us about the difference between the largest and smallest values, but says nothing about the distribution of the numbers in between. Not sufficient.
(1)+(2) Even together, the two pieces of information are insufficient. For instance, the list could be {0, 0, 0, 0, 0, 0, 0, 0, 0, 18}, or it could be {0, 0, 0, 0, 0, 18, 18, 18, 18, 18}. Both lists consist of 10 even numbers and have a range of 18, but their distributions are very different, leading to different standard deviations.
Answer: E
What is the standard deviation of list \(S\)?
(1) List \(S\) consists of 10 even integers.
Knowing that the list consists of 10 even integers does not give any specific information about their distribution or values. Not sufficient.
(2) The range of list \(S\) is 18.
The range of the list being 18 merely informs us about the difference between the largest and smallest values, but says nothing about the distribution of the numbers in between. Not sufficient.
(1)+(2) Even together, the two pieces of information are insufficient. For instance, the list could be {0, 0, 0, 0, 0, 0, 0, 0, 0, 18}, or it could be {0, 0, 0, 0, 0, 18, 18, 18, 18, 18}. Both lists consist of 10 even numbers and have a range of 18, but their distributions are very different, leading to different standard deviations.
Answer: E
12 Oct 2023, 03:34
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
