QuestionA scientist measures $536 \, \mathrm{g} \, \mathrm{m}^{-3}$; true value is $1000 \, \mathrm{g} \, \mathrm{m}^{-3}$. Find absolute and relative error.

Studdy Solution
Calculate the relative error.
$$Relative\, Error =0.464$$The relative error is usually expressed as a percentage.
$$Relative\, Error =0.464 \times100\% =46.4\%$$The absolute error of the scientist's measurement is $464 \, \mathrm{g} \, \mathrm{m}^{-3}$ and the relative error is $46.4\%$.