The answer for precision resides in the intention. Statistics often runs with means, and means broadens at a slight loss of precision. Rounding or stopping at a particular numeric point does the same; and that extra room of “imprecise” is often necessary to cover gaps in theory. Precision is a quality and as you pointed out there are several ways to express that quality.

The answer for precision resides in the intention.

Statistics often runs with means, and means broadens at a slight loss of precision. Rounding or stopping at a particular numeric point does the same; and that extra room of “imprecise” is often necessary to cover gaps in theory.