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| 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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| body | --uriencoded--Average: x ̅\bar%7Bx%7D=\cfrac%7B1%7D%7BN%7D \sum \limits_%7Bi=1%7D%5e%7BN%7Dx_i=\cfrac%7Bx_1+x_2+x_3+⋯+x_N%7D%7BN%7D |
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(1)
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| 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 |
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(3)
A complete measurement result for a statistically determined quantity x is therefore
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| body | --uriencoded--x=M_x \pm u_x = \bar%7Bx%7D \pm \sigma_x |
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with the measurand M
x and the uncertainty u
x.
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