Physics — Measurement & Uncertainty
Mean, error propagation and the standard error of the mean.
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\bar{x} = \frac{1}{N}\sum_{i=1}^N x_i
\frac{\Delta z}{z} = \frac{\Delta x}{x} + \frac{\Delta y}{y}
\Delta(x \pm y) = \Delta x + \Delta y
\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{N}}