Whenever I measure a positive quantity (e.g. a volume) there is some uncertainty related to the measurement. The uncertainty will usually be quite low, e.g. lower than 10%, depending on the equipment. However, I have recently seen uncertainties (due to extrapolation) larger than the measurements, which seems counter-intuitive since the quantity is positive.
So my questions are:
- Do uncertainties larger than the measurements make sense?
- Or would it be more sensible to "enforce" an uncertainty (cut-off) no higher than the measurement?
(The word "measurement" might be poorly chosen in this context if we are including extrapolation.)