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Info
For this experiment, it is not necessary to use your own laptop (other than to take notes).

1.      Context of the Experiment

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A complete measurement can only be specified by taking the uncertainty into account, it can be displayed as where M is the average of or the one measurement and u is the uncertainty. The uncertainty can also be specified as a relative value, e.g. in percent of the measured value M. A measured value that has multiple decimal digits can show more digits than the uncertainty allows, therefore rounding to the last decimal digit of the uncertainty is common.

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Mathinline
body--uriencoded--Uncertainty propagation: u_y=\sqrt%7B\sum \limits_%7Bj=1%7D%5e%7BN%7D \left(\cfrac%7B∂f(x_j)%7D%7B∂x_j%7D a_%7Bx_j%7D\right)%5e2 %7D
(3)

A complete measurement result for a statistically determined quantity x is therefore

Mathinline
body--uriencoded--x=M_x \pm u_x = \bar%7Bx%7D \pm \sigma_x
with the measurand Mx and the uncertainty ux.

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