Sig_figs_Prop_of_error

Sig_figs_Prop_of_error - Experimental Error Uncertainty...

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Experimental Error Uncertainty Propagation of Error absolute uncertainty e.g. uncertainty in reading burette ± 0.02 mL relative uncertainty: absolute uncertainty/measured qty usually expressed as % - (0.02/32 mL = 0.06%) std dev (s) - 0.19 ! g/mL ± 0.02 ! g/mL relative standard deviation (RSD) std dev/measured qty - 0.02 /0.19 ! g/mL = 0.11 usually expressed as % - 11% Gaussian Curve ± S 68% ± 2s 95% ± 2.5s 99%
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Standard Deviation ! = true standard deviation ! = true mean number of measurements, N, tends to infinity Small Sample Standard Deviation s is an estimate of ! and approaches ! as N increases facile calculation of s Standard Deviation of the Mean s - estimate of probable error of measurement the arithmetic mean of N measurements will have less scatter from the true value scatter will decrease as N increases if N very large the mean will approach μ The mean is times more reliable than one measurement. It can be shown that:
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Precision Precision of the mean of N measurements
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Sig_figs_Prop_of_error - Experimental Error Uncertainty...

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