Error Propagation & Uncertainty

Calculate the combined absolute and relative uncertainty of two measurements.

Value A (x)

Uncertainty A (δx)

Value B (y)

Uncertainty B (δy)

Operation

Result (z ± δz)

0.00 ± 0.00

Relative Uncertainty: 0.00%

Uncertainty Mathematics

When measurements with independent, random errors are combined, their uncertainties propagate quadratically. For addition and subtraction, absolute uncertainties are combined. For multiplication and division, fractional (relative) uncertainties are combined.

Addition/Subtraction: δz = √((δx)² + (δy)²)
Multiplication/Division: δz = |z| * √((δx/x)² + (δy/y)²)