Download your Word document
Independent Sum Error Propagation Calculator result sheet — free, supported by sponsors. Your download button appears in 20 seconds.
This free download is supported by sponsors — continuing in
20
Your file is generated in your browser when you choose Download — nothing is uploaded. If this calculator returns enough numeric data, the export also includes its best-fit chart alongside the readable table.
WorldCalculate result export
Independent Sum Error Propagation Calculator — result sheet
Calculate the combined absolute and relative uncertainty for a sum or difference of two measured quantities.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For independent addition/subtraction: u=√(u₁²+u₂²); combined value=v₁+v₂; relative uncertainty=|u/value|.
Independent absolute uncertainties combine by root-sum-square for a sum or difference; the displayed value uses addition for a clear contract.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Value 1 — minimum -1000000000000; maximum 1000000000000
- Uncertainty 1 — minimum 0; maximum 1000000000000
- Value 2 — minimum -1000000000000; maximum 1000000000000
- Uncertainty 2 — minimum 0; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Value 1 | 12 |
| Uncertainty 1 | 0.3 |
| Value 2 | 8 |
| Uncertainty 2 | 0.4 |
Combined value =20; absolute uncertainty ≈0.5; relative uncertainty =2.5%.
Assumptions and limits
- Uncertainties are nonnegative absolute standard uncertainties and are independent.
- Values share a unit and the combined value is nonzero for the relative percentage.
- Correlations, nonlinear propagation, systematic bias, and significant-figure reporting 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.
No saved result was found. Please run the calculation first, then choose Download again.