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In order to determine the absolute error of this you would have to have a measurement or an estimate of whatever this object is. at which point you would take the difference between the two.

For example: 21.571 is the True value 20.000 is the Recorded Value.

Thus: (True value) - (Recorded Value) = Absolute error (21.571) - (20.000) = 1.571

To determine the Percent value, applying the skills learned above, it is represented by the following equation

(Recorded value - True value) / True value*100%

(20.000 - 21.571) / 21.751*100% = -7.28%

It is possible to have multiple points of absolute error for instance. If you have 3 measurements one above the true value, the true value, and one below the true value. (e.g 20, 21.571, 22.571) can be represented as +/- 1.571g

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Q: If the true value is 21.751 grams what is the absolute error and the percent error?
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What is the percent error of a scale if bananas weighing 567 grams on the scale actually weigh 522 grams?

8.6


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Percent Error is the difference between the true value and the estimate divided by the true value and the result is multiplied by 100 to make it a percentage. The percent error obviously can be positive or negative; however, some prefer taking the absolute value of the difference. The formula is the absolute value of the experimental value (minus) the theoretical value divided by theoretical value times 100. % error = (|Your Result - Accepted Value| / Accepted Value) x 100


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An absolute measurement is based on first principle measurements. Most measurements are comparison. An absolute measurement doesn't rely on calibration of the instrument. For example wavelength measurements can be made without calibration by looking at the number of beats per seconds (Hertz). Absolute error is the magnitude of the difference between the exaxt value of the value measured. It can be expressed as a number, e.g. the molecular weight measured is 27 000 grams per moles while the known molecular weight of the structure is 27 500, the absolute error is 500 grams per mole.


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