Percent Error Calculator

Calculate the accuracy of a measurement or estimate. Compare your experimental results against a known theoretical value to find the percentage of error.

Complete User Guide

The Percent Error Calculator is a standard tool for science labs and quality control. Follow these steps:

Step 1: Enter the "Measured Value" (the result you obtained from an experiment or estimate).

Step 2: Enter the "Accepted Value" (the true, theoretical, or standard value).

Step 3: Click "Calculate."

Step 4: Review the results. The calculator will provide: - The Absolute Error (the raw difference). - The Percent Error. - A judgment of accuracy based on common lab standards.

Step 5: Use this to analyze the precision of your measurements in chemistry, physics, or business forecasting.

The Mathematical Formula
|(Approx - Exact) / Exact| * 100

The formula for percent error is: Percent Error = (|Measured Value − Accepted Value| / |Accepted Value|) × 100

Steps: 1. Find the difference between the measured and accepted values. 2. Take the absolute value (ignore negative signs). 3. Divide that difference by the absolute value of the accepted (true) value. 4. Multiply by 100 to get the percentage.

Example: You estimate there are 100 jellybeans in a jar, but there are actually 120. 1. |100 - 120| = 20. 2. 20 / 120 = 0.1667. 3. 0.1667 × 100 = 16.67% error.

About Percent Error Calculator

The Percent Error Calculator helps quantify how 'wrong' a measurement is. In science, no experiment is perfect, so the goal is not to have 0% error, but to understand *why* the error exists. It is used to identify bias in equipment, human error in measurement, or the impact of external variables. In business, it is used for 'Forecast Error' to see how far off sales projections were from actual revenue. By calculating this percentage, you can determine if your data is 'statistically significant' and whether your measurement methods need to be improved or recalibrated.

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