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July 16th, 2011, 09:57 PM   #1
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tending to infinity for standard deviation

hi all,

I have a question that has me puzzled on an assignment ;

if x tends to infinity based on some function (where x is a number) ,
does it imply that the standard deviation of x tend to Zero ?

cheers,
joey
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July 17th, 2011, 02:08 PM   #2
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Re: tending to infinity for standard deviation

Your question is confusing. Is x a number or a random variable? Numbers don't have standard deviations, random variables do.
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July 17th, 2011, 02:51 PM   #3
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Re: tending to infinity for standard deviation

I also cannot understand the question. If it was

"Suppose X(n) is a random variable with expected value that increases without bound with n. Is the limit of the standard deviation of X(n) as n increases without bound 0?"

then the answer would be no.
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