Arithmetic vs. geometric uncertainties

[Loren Booda]

Rather than arithmetic ("plus or minus") uncertainties, are there classical (not of Heisenberg uncertainty principle) measurements whose uncertainties otherwise appear as geometric ("times or divided by")?

 

[HallsofIvy]

I'm not sure what you mean by this. The error in a measurement depends upon the measuring instrument, not the "measurement" itself.

 

[Loren Booda]

I'm not sure what you mean by this. The error in a measurement depends upon the measuring instrument, not the "measurement" itself.

E.g., is that necessarily true for quantum mechanics?