Jc3s5h added a comment. thiemowmde's quote from the buffalostate.edu site uses ellipsis to omit a critical passage: "Then, for your work in PHYS 152L, the uncertainty in the measurement is taken to be this value." This document is used in conjunction with an (apparently undergraduate) university course which adopts some shortcuts and simplifications for expediency in the course. The ability to read the display on an instrument is a lower bound on the uncertainty. Often an instrument will have other limitations that will cause the actual uncertainty to be greater than the uncertainty in reading the display. A simple example is that a meter stick bought at the local hardware store (UK: ironmonger) for $10 will probably disagree by more than one scale division from a quality engine-divided meter scale bought from a reliable manufacturer such as Starett for several hundred dollars.
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