Adjective : He drew improper conclusions from the scant evidence. ,improper conduct at a funeral. ,improper attire for a formal dance. ,improper functioning of the speech mechanism.    From Dictionary.com. 

And so did change from her intent; yet with no improperness of modesty; but only with a niceness of Sense, which she did make no talk of; but yet did have.    From Wordnik.com.  [The Night Land: Chapter 10] Reference

"If I intelligent enough choose for myself, then where be improperness?.    From Wordnik.com.  [The Cat is a Metaphor] Reference

I don’t see the connection between yearly variations, heavy-tailed distributions, and improperness of median adjustment.    From Wordnik.com.  [Hurricanes – What to Adjust « Climate Audit] Reference