Therefore properties which are calculated with the "weights" setting are actually some sort of weighted arithmetic mean over the different atoms types.
Suggested fix
Update the documentation and code so that "total" results calculated with "weights" are referred to as something else.
Description of the error According to the documentation https://mdanse.readthedocs.io/en/protos/pages/parameters.html#weights the "total" property of a result is calculated using the following equations,
the first equation is actually the formula for a weighted arithmetic mean https://en.wikipedia.org/wiki/Weighted_arithmetic_mean#Mathematical_definition.
Therefore properties which are calculated with the "weights" setting are actually some sort of weighted arithmetic mean over the different atoms types.
Suggested fix Update the documentation and code so that "total" results calculated with "weights" are referred to as something else.