Percent Error Formula:
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Percent error is a measure of how inaccurate a measurement is, compared to the true or accepted value. It's expressed as a percentage and represents the difference between experimental and theoretical values relative to the theoretical value.
The calculator uses the percent error formula:
Where:
Explanation: The absolute value ensures the error is always positive, and multiplying by 100 converts it to a percentage.
Details: Percent error is crucial in scientific experiments and quality control to assess the accuracy of measurements. It helps identify systematic errors and evaluate the reliability of experimental methods.
Tips: Enter both experimental and theoretical values. The theoretical value cannot be zero (division by zero is undefined). Values can be positive or negative.
Q1: What is a good percent error?
A: This depends on the field. In many scientific experiments, <5% is considered acceptable, but stricter fields may require <1%.
Q2: Why use absolute value in the formula?
A: The absolute value ensures the error is always expressed as a positive number, focusing on the magnitude rather than direction of the error.
Q3: How is percent error different from percent difference?
A: Percent error compares to a known value, while percent difference compares two experimental values without a reference standard.
Q4: Can percent error be greater than 100%?
A: Yes, when the experimental value is more than double the theoretical value in either direction.
Q5: What does 0% error mean?
A: It means the experimental value exactly matches the theoretical value, indicating perfect accuracy.