How To Calculate Uncertainty?

Identify the measured value and the uncertainty source

Determine the absolute uncertainty

Determine the relative uncertainty by dividing absolute uncertainty by the measured value

Convert relative uncertainty to percentage by multiplying by 100

For repeated measurements, calculate the mean

Find the spread of the measurements using range, standard deviation, or instrument resolution

Use half the range or standard deviation as the uncertainty when appropriate

For a single instrument reading, use the instrument’s smallest division or stated precision

For multiple quantities added or subtracted, add absolute uncertainties

For multiple quantities multiplied or divided, add relative uncertainties

For powers, multiply the relative uncertainty by the power

Report the final result with the uncertainty to the same decimal place

Write the result in the form value ± uncertainty

Include units with both the value and the uncertainty

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