Example Uncertainty Propagation
density of a game cube:
Part I:
single measurement of a single cube, accuracy of scale is Δm=0.2g, accuracy of length measurement is Δl=0.1mm
l=20mm, m=200g
Part II:
Now a statistical analysis of a set of three cubes' densities is conducted:
length | mass | |
---|---|---|
cube 1 | 21mm | 201g |
cube 2 | 22mm | 204g |
cube 3 | 18mm | 194g |
Average of the length:
Standard deviation of the length:
Average of the mass:
Standard deviation of the mass:
Resulting uncertainty of the cube's density:
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Institut für Mechatronik im Maschinenbau (iMEK), Eißendorfer Straße 38, 21073 Hamburg