Weighted Mean
Combines independent measurements of the same quantity, giving more weight to the more precise ones. Use it to average repeated measurements that have different uncertainties.
Fit the example dataStart with your own data
Example: simulated measurements of g by eight lab groups, 8 points with y uncertainties, opened as a new copy you can edit.
Parameters
- The weighted mean, Σwᵢyᵢ/Σwᵢ, with weights wᵢ = 1/δyᵢ².
Tips
- Enter the measurements in y and their standard uncertainties in δy, using Table or Rule. The x and δx columns are kept but not used.
- Absolute reports the usual propagated uncertainty, 1/√Σwᵢ. Nominal, the default, multiplies it by the square root of reduced χ², estimated from the scatter. See Weighted Mean in Help.
- A single measurement is valid: Absolute returns its value and its uncertainty.