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Practical Skills (Uncertainty (Uncertainty Range
The range of values for…
Practical Skills
Uncertainty
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Uncertainty Range
The range of values for which there is a high probability that the true value will lie
Quoted as
\(Mean\,Value\pm Half\,Uncertainty\,Range\)
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The minimum apparatus uncertainty is given by plus or minus half the smallest division on the apparatus being used
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Percentage Uncertainty
\[\frac{Absolute\,Uncertainty}{Mean\,Value}\times100\]
Percentage uncertainty of a gradient or y-intercept can be found by:
\[\frac{|Worst\,Gradient-Best\,Gradient|}{Best\,Gradient}\times 100\]
Percentage should usually be given to 1 or 2 sig fig, based on how accurate the original data was (no rules really)
Given values should have uncertainty assumed at plus or minus 1 in the last significant figure of the value
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Uncertainty can be reduced in values by taking repeated measurements and dividing by number of measurements made. The absolute uncertainty stays constant for the multiple measurements, and so the percentage uncertainty is lower.
Anomalous Results
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An anomalous result should only be discarded if the reason for it's presence can be determined, or results are expected to be the same
Still record all results, and only discard at data analysis stage
Derived values should always be quoted to the number of significant figures of the data with the least number of significant figures used.
Readings involve one judgement, while measurements require the combination of two judgements.
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Graphs should always take up at least half available space on both axis (if they don't then half increments on axis)
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