Question

Dieter's new pedometer measures distance as he walks. To test the accuracy of the pedometer, Dieter walks from school to his favorite restaurant, a trip he knows to be 427.4 meters long. If the reading on the pedometer says that the distance between the two places is 426 meters, what is the percent error? Round to the nearest tenth of a percent.

Answer 1

Answer:

0.3276%

Step-by-step explanation:

-The percentage of error is the the percentage deviation from the real value.

-Given the real value is 427.4 m and the pedometer value is 426m, the % of error is calculated:

$e={Actual -Reading}\\\\=427.4-426\\\\=1.4\\\\\therefore\% e=\frac{e}{Actual}\times 100\%\\\\=\frac{1.4}{427.4}\times 100\%\\\\=0.3276\%$

Hence, the percentage of error is 0.3276%