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If the standard deviation of Set Y is 4, what are the

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If the standard deviation of Set Y is 4, what are the [#permalink]

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New post 03 Aug 2014, 15:52
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B
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If the standard deviation of Set Y is 4, what are the greatest and least values that are within one standard deviation of the mean?

(1) The median of Set Y is 5.

(2) The mean of Set Y is 6.
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Re: If the standard deviation of Set Y is 4, what are the [#permalink]

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New post 03 Aug 2014, 23:21
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oss198 wrote:
If the standard deviation of Set Y is 4, what are the greatest and least values that are within one standard deviation of the mean?

(1) The median of Set Y is 5.

(2) The mean of Set Y is 6.



Standard deviation is how spread out the number are from the mean. The question asked for the greatest and least values that are within one standard deviation of the mean, reading from the question only, we know that we need the mean to calculate values.

(2) mean = 6, then greatest value = 6+4 = 10, least value = 6-4 = 2
(2) is sufficient. B is the answer.

As for (1), the median has nothing to do with standard deviation, so we can eliminate (1).
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Re: If the standard deviation of Set Y is 4, what are the [#permalink]

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New post 04 Aug 2014, 15:22
vad3tha wrote:
oss198 wrote:
If the standard deviation of Set Y is 4, what are the greatest and least values that are within one standard deviation of the mean?

(1) The median of Set Y is 5.

(2) The mean of Set Y is 6.



Standard deviation is how spread out the number are from the mean. The question asked for the greatest and least values that are within one standard deviation of the mean, reading from the question only, we know that we need the mean to calculate values.

(2) mean = 6, then greatest value = 6+4 = 10, least value = 6-4 = 2
(2) is sufficient. B is the answer.

As for (1), the median has nothing to do with standard deviation, so we can eliminate (1).


You have got the correct answer, however i don't understand it. Standard deviation isn't the average of how is spread out the numbers form the mean?
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Re: If the standard deviation of Set Y is 4, what are the [#permalink]

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New post 26 Mar 2018, 09:27
I don't get the point of the question. If the question asks for the greatest and the least value within one std, it sounds for me as if the question is asking for REAL values that fall in that range. Since we do not know the set's values, I pick E.

IMO the question should be: What is the greatest possible value and what is the least possible value which falls within one std.
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Re: If the standard deviation of Set Y is 4, what are the [#permalink]

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New post 26 Mar 2018, 09:40
truongvu31 wrote:
I don't get the point of the question. If the question asks for the greatest and the least value within one std, it sounds for me as if the question is asking for REAL values that fall in that range. Since we do not know the set's values, I pick E.

IMO the question should be: What is the greatest possible value and what is the least possible value which falls within one std.


While I see your point and would agree that the wording is not perfect, notice that the question does not say that the greatest and least values must necessarily be in the set: "what are the greatest and least values that are within one standard deviation of the mean?" So, basically the question asks: what are the the greatest and least numbers which are within a certain distance of the mean.
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Re: If the standard deviation of Set Y is 4, what are the   [#permalink] 26 Mar 2018, 09:40
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