Standard deviation is defined by $<(a - <a>)^2>$ for a continuous variable $a$. Does the term $<|a - <a>|>$ contain the exactly the same information. Is there a one-to-one correspondence in their values. If not, is the latter a better measure of the "width" of the distribution compared to the former?
2026-03-31 01:02:48.1774918968
Standard deviation and alternate measures
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