Error on Mean
Last Update: 14-Jul-05
See
PDG Statistics Review
For a set of
N
measurements
x
i
:
μ = (1/
N
) Sum
i=1
N
x
i
σ
2
= [1/(
N
-1)] Sum
i=1
N
(
x
i
- μ)
2
= RMS
2
[
N
/(
N
-1)]
Error on Mean = σ / sqrt(
N
) = RMS / sqrt[(
N
-1)]
= sqrt[Variance(μ)]