Timeline for How to calculate the uncertainty and mean of multiple measurements with different errors?
Current License: CC BY-SA 4.0
5 events
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Nov 30, 2021 at 21:22 | comment | added | John Darby | Thank you @Semoi. You may be interested in my rambling answer to physics.stackexchange.com/questions/675632/…, particularly related to belief/plausibility. | |
Nov 30, 2021 at 19:53 | comment | added | NotMe | Great answer! It helps to realise that that the average is a weighted average with weights $w_i \propto 1/\sigma_i^2$. In addition, the formula from the standard deviation can be motivated by reading about Baysian statistics. In fact, this is the standard formula which is used to weight the "prior knowledge" and "new data" to obtain the "new state of knowledge". | |
Nov 30, 2021 at 13:01 | comment | added | John Darby | You are welcome. | |
Nov 30, 2021 at 5:19 | comment | added | mqzhang | Thank you for your answer! | |
Nov 30, 2021 at 3:46 | history | answered | John Darby | CC BY-SA 4.0 |