QuestionCalculate the absolute and relative error for a measurement of $581 \mathrm{g} \cdot \mathrm{m}^{-3}$ vs. true value $500 \mathrm{g} \cdot \mathrm{m}^{-3}$.

Studdy Solution
Calculate the relative error.
$$Relative\, Error = \frac{81 \, \mathrm{g} \cdot \mathrm{m}^{-3}}{500 \, \mathrm{g} \cdot \mathrm{m}^{-3}} =0.162$$The absolute error is $81 \, \mathrm{g} \cdot \mathrm{m}^{-3}$ and the relative error is $0.162$ or $16.2\%$.