Standard Error
There appear to be two different definitions of the standard error.
The standard error of a sample of sample size 
is the sample's standard
deviation divided by 
. It therefore estimates the standard deviation of the sample
mean based on the population mean (Press et
al. 1992, p. 465). Note that while this definition makes no reference to
a normal distribution, many uses of this quantity
implicitly assume such a distribution.
The standard error of an estimate may also be defined as the square root of the estimated error variance 
of the
quantity,
 |
(Kenney and Keeping 1951, p. 187; Zwillinger 1995, p. 626).
Contact the MathWorld Team
standard error of
8.04, 8.10, 8.06, 8.12
