incorrectly vs wrongly

incorrectly

adv
  • In an incorrect manner. 

wrongly

adv
  • Incorrectly, mistakenly; by error. 

  • In violation of a moral or other standard, code, or convention; in an unfair, unjust, dishonest, or immoral manner; unfairly, unjustly, dishonestly, immorally, wrongfully; wrongly convicted is synonymous with wrongful conviction and miscarriage of justice. 

How often have the words incorrectly and wrongly occurred in a corpus of books? (source: Google Ngram Viewer )