Results from various series of measurements can be combined in the following way to give a pooled relative standard deviation $s_{r,p}$:
$$
s_ps_{r,p}=\sqrt{\frac{\sum(n_i-1)s_{r,i}^2}{\sum n_i -1}} = \sqrt{\frac{\sum(n_i-1)s_i^2x_i^{-2}}{\sum n_i -1}}
$$
== See also ==
[[Category:Analysis]]