Source : Webster's Revised Unabridged Dictionary (1913)

Badness \Bad"ness\, n.
   The state of being bad.

Source : WordNet®

badness
     n 1: that which is below standard or expectations as of ethics or
          decency; "take the bad with the good" [syn: {bad}] [ant:
           {good}, {good}]
     2: used of the degree of something undesirable e.g. pain or
        weather [syn: {severity}]
     3: an attribute of mischievous children [syn: {naughtiness}, {mischievousness}]