Percent error

Learning Objectives Define percent error and its component terms (measured value, accepted value, absolute error). Identify the measured and accepted values from a given problem statement. Accurately calculate the absolute error between two values. Apply the percent error formula to solve mathematical and real-world problems. Interpret the meaning of a calculated percent error in the context of measurement accuracy. Use percent error to compare the relative accuracy of two or more different measurements. Ever tried to bake a cake and it came out... wrong? 🎂 Your oven temperature might have been off! Percent error helps us figure out exactly *how* off it was. In this tutorial, you will learn how to calculate percent error, a crucial tool for evaluating the accuracy of any m...

TermDefinitionExample Measured ValueThe value of a quantity that is determined through an experiment or measurement process. It is also known as the experimental value.A student uses a thermometer to measure the boiling point of water and records a temperature of 99.2°C. This is the measured value. Accepted ValueThe correct, standard, or universally agreed-upon value of a quantity. It is also known as the true or theoretical value.The scientifically accepted boiling point of pure water at sea level is 100°C. This is the accepted value. ErrorThe difference between the measured value and the accepted value. It can be positive or negative.If the measured value is 99.2°C and the accepted value is 100°C, the error is 99.2°C - 100°C = -0.8°C. Absolute ErrorThe magnitude of the error, regardless...

Absolute Error Formula Absolute Error = |Measured Value - Accepted Value| Use this formula to find the magnitude of the error. The vertical bars `| |` indicate the absolute value, which means the result will always be a positive number. Percent Error Formula Percent Error = \frac{|Measured Value - Accepted Value|}{Accepted Value} \times 100\% This is the primary formula for this lesson. It calculates the error as a percentage of the accepted value, allowing for a standardized way to judge the accuracy of a measurement.