Physics307L F09:Schedule/Week 10 agenda/Weighted

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The problem: You have two separate measurements with different uncertainties. How do you combine them?

Example: Speed of Light

Measurement #1 (25 +/- 3) cm / ns

Measurement #2 29(2) cm / ns

What is the best way to combine these measurements?

What do you expect the new means, uncertainties to be?

Derivation

The formula

Wikipedia article

which means:

Excel examples