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July 16th, 2011, 08:57 PM  #1 
Newbie Joined: Jul 2011 Posts: 1 Thanks: 0  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 
July 17th, 2011, 01:08 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,730 Thanks: 689  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.

July 17th, 2011, 01:51 PM  #3 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  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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