Gianna measured a line to be 19 inches long. If the actual length of the line is 17.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:__________ %
Q. Gianna measured a line to be 19 inches long. If the actual length of the line is 17.1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:__________ %
Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, represented as a percentage of the actual value. The formula for percent error is: Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100%
Identify Values: Identify the measured value and the actual value.Measured Value = 19 inchesActual Value = 17.1 inches
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the actual value.Absolute Difference = ∣Measured Value−Actual Value∣Absolute Difference = ∣19−17.1∣Absolute Difference = 1.9 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute Difference/Actual Value)×100%Percent Error = (1.9/17.1)×100%
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (1.9/17.1)×100%Percent Error ≈0.1111×100%Percent Error ≈11.11%
Round Percent Error: Round the percent error to the nearest tenth of a percent.Rounded Percent Error = 11.1%