Question

Find the amount of error and relative (%) error in the following situation.

The actual distance to Paradise is 28.07 miles, but your odometer reads 27 miles. Round the relative error to the nearest tenth of a percent. Amount of error: ____ miles Relative error: _____

Answer 1

Answers:

Amount of Error = 1.07 miles

Relative Error = 3.8%

Explanation:

We subtract the two given values to find the amount of error. This is the gap between the values.

28.07 - 27 = 1.07

The amount of error is 1.07 miles

Divide this over the true distance to find the relative error.

1.07/28.07 = 0.038119 approximately

This converts to 3.8119% and then rounds to 3.8% when rounding to the nearest tenth of a percent.