Advanced Error CalculationsHardQuestion 5040
Question
If x = a + b, the maximum absolute error in x when errors in a and b are Δa and Δb respectively is:
- AΔa − Δb
- BΔa × Δb
- CΔa + ΔbCorrect
- D|Δa − Δb|
Correct answer
Δa + Δb
Explanation
For addition or subtraction, absolute errors add up: Δx = Δa + Δb (maximum error). This ensures we account for worst-case combination of errors.