Calculate the standard deviation of Gaussian distribution ,thanks

[chener]

Given a one-dimensional Gaussian distribution, distributed as following:

f (x) = exp (-x ^ 2 / (2q)) / q / √ (2pi)

proof which q is the standard deviation

Thanks !The standard deviation is defined by:
http://www.mathsisfun.com/data/standard-deviation-formulas.html

 

[Stephen Tashi]

The standard deviation is defined by:
http://www.mathsisfun.com/data/standard-deviation-formulas.html

That link defines the "sample standard deviation".

The number 'q' is the "population standard deviation". The definition of "population standard deviation" ( which is the "standard deviation of a random variable") involves doing an integration. Are you familiar with calculus?

 

[berkeman]

Misplaced schoolwork-type question with no effort shown. Thread is closed.