Question

The sticker on a car states that it gets 20 miles per gallon on the highway, but measurements show that its highway

mileage is actually 31 miles per gallon. Find the values of the absolute and relative errors.

Answer 1

Step-by-step explanation:

Absolute error is the difference between the actual value and the measured value, so in this case:

Absolute error = |Actual value - Measured value|

= |20 - 31|

= 11 miles per gallon

Relative error is the ratio of the absolute error to the actual value, expressed as a percentage. In this case:

Relative error = (Absolute error / Actual value) x 100%

= (11 / 20) x 100%

= 55%

Therefore, the absolute error is 11 miles per gallon, and the relative error is 55%. This means that the measured value of 31 miles per gallon is 55% higher than the stated value of 20 miles per gallon.