Amleto, you need to realise that when measuring something there is always error if it is more complicated than counting cars. Silly argument tbh.
Say one is measuring a length with a micromenter, or force from an elastic band, something simple for the sake of argument. Can you be absolutely sure you are measuring the distance or force exactly? Every device has its own uncertainty, as it has a limited accuracy in what it measures.
PhilthyPhil, yes your right. as i mention above, and as you correctly pointed out, To estimate the error in your final value, you need to know the error in your data.