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Independent Measurement Error Propagation Calculator — result sheet
Estimate propagated absolute uncertainty for addition, subtraction, multiplication, or division of two measured values.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For sums/differences u=√(uA²+uB²); for products/quotients use first-order independent partial-derivative propagation.
The selected operation, result, absolute uncertainty, and relative percentage are kept visible together.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Operation — 4 choices
- Value A — minimum -1000000000; maximum 1000000000
- Absolute uncertainty A — minimum 0; maximum 1000000000
- Value B — minimum -1000000000; maximum 1000000000
- Absolute uncertainty B — minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Operation | add |
| Value A | 12 |
| Absolute uncertainty A | 0.3 |
| Value B | 4 |
| Absolute uncertainty B | 0.2 |
Result =16; propagated uncertainty ≈0.361.
Assumptions and limits
- Uncertainties are nonnegative absolute magnitudes in compatible units and errors are independent.
- First-order propagation is used for multiplication and division.
- Correlated errors, nonlinearity, probability coverage, and instrument bias are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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