misrepresentation

Erroneous or false representation; an unfair or dishonest account or exposition; a false statement.

Near-synonyms: mischaracterization, misportrayal

[…] for unless a matter be true enough to stand a good deal of misrepresentation, its truth is not of a very robust order, […]

Incorrect or unfaithful representation in the capacity of agent or official representative, such as of a principal in a matter of business, or of constituents in legislation.

Faultiness in a map projection, estimated with regard to its unequal scale in different parts and to its distortion of angles.