The phrase "contrary to the norm" is correct and usable in written English.
You can use this phrase to describe behavior or actions that are unusual, unorthodox, or unexpected compared to the usual way of doing things. For example, "He arrived an hour late to the meeting, contrary to the norm of being punctual."
Expressing views contrary to the norm has left me feeling quite isolated.
Contrary to the norm, we had speedy, attentive, right-on-the-mark service on a busy Friday night and a lackadaisical waitress when the restaurant was nearly empty.
Many of our caregivers were also breastfeeding and not bed-sharing, a result that follows AAP recommendations, but is contrary to the norm.
Your work seems to make technology meditative -- which feels pretty contrary to the norm.
Since the female mainland emus are on average larger than the males, and can turn brighter during the mating season, contrary to the norm in other bird species, some of these observations may have been based on erroneous conventional wisdom.
Contrary to the norm, a specific cut-off value for T-Tf or T-tau was not identified to calculate the specificity and sensitivity of these biomarkers.
Conason describes Clinton's gambit as "risky" and contrary to the norms against former presidents criticizing or interfering with the administration of a sitting president.
Coupled with the threat to remove benefits and to evict the families of rioters from their homes, we are seeing a response that risks becoming excessive and contrary to the norms of justice.
We call on G4S to show it has a conscience and terminate its contracts with facilities where children suffer routine physical and verbal abuse, contrary to the norms of civilised society.
Contrary to the norms of journalism, however, Mr. Assange sometimes obtained such records unethically — including, according to a separate federal indictment unsealed Thursday, by trying to help now-former U.S. Army soldier Chelsea Manning hack into a classified U.S. computer system.
However, this type of study-level evaluation masks the fact that the study includes individual procedures which are contrary to subjects' medical interests, and contrary to the norms of clinical medicine.
