How do I add percentage uncertainty when calculating an average?

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To calculate the average of two percentages with uncertainty, first find the average value, which is 59.55%. When adding the uncertainties, combine them directly, resulting in a total uncertainty of +/- 2%. This total uncertainty should then be divided by the number of values being averaged, which in this case is 2. Therefore, the final result is 59.55% +/- 1%. Understanding how to handle percentage uncertainties is crucial for accurate calculations in statistics.
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Homework Statement


I currently want to add 2 percent each with a relative uncertainty together:
\frac{53.3\% +/- 1\% + 65.8\% +/- 1\%}{2}

I'm not sure how I can add the percentage uncertainty.

Homework Equations





The Attempt at a Solution


I've concluded that the average is 59.55%, however I'm unsure about how to handling adding the percentage uncertainty.
 
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When you are adding and subtracting, you add the uncertainties together. In this case you get +/- 2%. Don't forget to divide this by 2 as well.
 

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