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Adjective: supernormal  ,soo-pu(r)'nor-mul
  1. Beyond the range of the normal or scientifically explainable
    "supernormal intimations";
    - supranormal
  2. (statistics) exceeding the normal or average
    "years of supernormal employment during the war"; "a phase of supernormal excitability"

See also: abnormal, paranormal, unnatural

Encyclopedia: Supernormal