Question

Chang is estimating the volume of his bathtub the actual volume of his bathtub is 37 gal chang’s estimate is 31 gal find the absolute error and the percent error of Chang’s estimate if necessary,Round your answers to the nearest tenth

Answer 1

The absolute error is 6

The percent error is 16.22 %

Solution:

Given that,

Actual volume of his bathtub is 37 gal

Estimate is 31 gal

Find the absolute error

Absolute Error = | Measured Value - Actual Value |

Absolute Error = | 31 - 37 |

Absolute Error = 6

Find the percent error

$Percent\ error = \frac{\text{estimate - actual}}{actual} \times 100$

Substituting we get,

$percent\ error = \frac{31-37}{37} \times 100\\\\percent\ error = \frac{-6}{37} \times 100\\\\percent\ error = -16.22$

Negative sign means percent decrease

Thus percent error is 16.22 %