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Propagate Stated Worst-Case Bounds in a Sum - Practice 1

For quantities added, stated absolute error bounds add in a worst-case bound when every combination within the bounds is allowed.

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For quantities added, stated absolute error bounds add in a worst-case bound when every combination within the bounds is allowed. This is not a confidence interval or a standard deviation. Statistical uncertainty combination would need different assumptions.

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If a is within +/-2 units and b within +/-3, a + b is within +/-5 in the worst case. The result does not state a 95% probability.

If a is within +/-2 units and b within +/-3, a + b is within +/-5 in the worst case. The result does not state a 95% probability.
If a is within +/-2 units and b within +/-3, a + b is within +/-5 in the worst case. The result does not state a 95% probability.
Question 1 Paper measurements 1: a has absolute error at most 1 unit and b at most 2 units. Every allowed error combination is possible. What is the worst-case absolute error bound on a + b, in units?
Question 2 Paper measurements 2: a has absolute error at most 2 units and b at most 3 units. Every allowed error combination is possible. What is the worst-case absolute error bound on a + b, in units?
Question 3 Paper measurements 3: a has absolute error at most 3 units and b at most 4 units. Every allowed error combination is possible. What is the worst-case absolute error bound on a + b, in units?
Question 4 Paper measurements 4: a has absolute error at most 4 units and b at most 2 units. Every allowed error combination is possible. What is the worst-case absolute error bound on a + b, in units?
Question 5 Paper measurements 5: a has absolute error at most 5 units and b at most 3 units. Every allowed error combination is possible. What is the worst-case absolute error bound on a + b, in units?