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Physics II workshop_Part_65

# Physics II workshop_Part_65 - Precision The number of...

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132 Precision The number of significant figures in a measurement. For gravitational acceleration near the earth, g = 9.532706 m/s 2 is more precise than g = 9.7 m/s 2 . Greater precision does not mean greater accuracy! See Accuracy . Propagation of Errors Given independent variables each with an uncertainty, the method of determining an uncertainty in a function of these variables. Random Error Deviations from the "true value" can be equally likely to be higher or lower than the true value. See Systematic Error . Range of Possible True Values Measurements give an average value, <x> and an uncertainty, Δ x. At the 67% confidence level the range of possible true values is from <x> - Δ x to <x> + Δ x. See C onfidence Level . Relative Error The ratio of absolute error to the average, Δ x/x. This may also be called percentage error or fractional uncertainty. See Absolute Error . Significant Figures All non-zero digits plus zeros that do not just hold a place before or after a decimal point.

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