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Error bars
indicate range of possibilities for the true value
every data point plotted on a graph is not the true value but an estimate of the true value
What is used to determine if two measurements are the same?
if their ranges of + or - 2 sigma overlap
Accuracy
a measure of how closely the results agree with a true or accepted value
in many scientific investigations the actual true value is not known so claims of accuracy cannot be made
Precision
the repeatability of similar measurements under unchanged conditions and does not require knowledge of the true value
the degree to which future measurements yield same results
Precision improves as…
random error decreases
Accuracy improves as…
systematic error decreases
Random error
random fluctuations in the measurements due to limitations of the measuring device or technique
Systematic error
uncertainties in measurements due to reproducible conditions in the system or biases in the observational method that can shift results in one direction
much harder to estimate
cannot be eliminated by averaging or by stats
In this experiment stopwatches are replaced with what and why?
motion sensor → allows for a precise time measurement and reduces random error low enough that systematic error can be seen in the data