QuestionA scientist measures $1151 \mathrm{cm}^{3}$; true value is $1000 \mathrm{cm}^{3}$. Find absolute and relative error.

Studdy Solution
Calculate the relative error.
$$Relative\, Error = \frac{151 \, cm^{3}}{1000 \, cm^{3}} =0.151$$The relative error is often expressed as a percentage. To convert the decimal to a percentage, multiply by100.
$$Relative\, Error =0.151 \times100 =15.1\%$$The absolute error is $151 \, cm^{3}$ and the relative error is $15.1\%$.