Error Propagation Calculator – Quick Uncertainty Analysis

This error propagation calculator helps you determine the uncertainty in your measurements’ results based on the errors of the individual inputs.

Error Propagation Calculator

How to Use the Calculator

Enter the values and their corresponding uncertainties into the respective fields. Once all input fields are filled, click the “Calculate” button to obtain the combined result with propagated error.

How It Works

This calculator uses the basic principles of error propagation for addition. For two values (Value 1 and Value 2), each with its own uncertainty (Error 1 and Error 2), the total error is the square root of the sum of the squares of the individual errors. Mathematically, it’s expressed as:

√(Error1² + Error2²)

The result is presented as the combined value ± the calculated error.

Limitations

This calculator is a simplified version that assumes:

  • Errors are uncorrelated and normally distributed.
  • Only considers error propagation for direct addition, without accounting for more complex expressions or operations.