The standard way to solve this nowadays is to report error measurements, which introductory university physics textbooks teach.
>"(And yet once told of that scientist who added 1 metre to his measurement of a mountain, because he feared that the too round number resulting from the computation could have been confused with a rough measurement.)"
The best way to report the precision is with an error measurement (e.g. ±2 feet). This isn't an academic source, but a news article supports this:
From LiveScience [0]:
"Legend has it that when the team took the average of all of those measurements, they found the mountain was exactly 29,000 feet (8,839 m) tall, Molnar said.
"They didn't expect anybody to believe it, so the story is they added 2 feet [0.6 m], just to make it look more believable," Molnar said.
[...]
"Despite sophisticated gravimeters, complicated equations and fancy tools like global positioning systems, the elevation of Mount Everest is only precise to within a foot or two.
"All of our elevations have an error," Molnar said."
[0] https://www.livescience.com/50691-how-to-measure-mount-evere...