Here is a timely example of uncertainty handled in an intelligent way.
Note the contrast:
++ For a point forecast, the National Weather Service routinely expresses
the uncertainty in the amount of snowfall by quoting a range, e.g. 12
to 18 inches. In physics it might be more conventional to write that
as 15±3 inches, but quoting the range is perfectly reasonable also.
-- On a map, the contours and color-coding don't lend themselves to
representing a range.
++ You can do a lot better by putting out *three* maps: lower limit,
nominal, and upper limit. The NWS has an experimental page that
does just that. Here is a screen grab: https://www.av8n.com/physics/img48/snowfall-map-brackets.png
By way of contrast, note that as usual in the real world, the uncertainty
is neither calculated nor communicated using sig figs or anything like that.