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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