Question

stacy’s time in her 50-meter freestyle race as measured with a stopwatch was 32.4 seconds. the more precise electronic touchpad measured her time as 32.36 seconds. what is the percent error for the stopwatch’s measurement? if necessary, round your answer to the nearest tenth of a percent.

Explanation:

Step1: Find Absolute Error

Absolute error = |Measured value - Actual value| = |32.4 - 32.36| = 0.04.

Step2: Calculate Percent Error

Percent Error = $\frac{\text{Absolute Error}}{\text{Actual Value}} \times 100\%$ = $\frac{0.04}{32.36} \times 100\%$ ≈ 0.1236%.

Step3: Round to Nearest Tenth

0.1236% rounded to nearest tenth is 0.1%.

Answer:

0.1%