Antonyms of average:
abnormal, unnatural, immoderate, uncommon, extraordinary, excessive, extreme, exceptional, rare, strange, unusual, distinctive, idiosyncratic, special, unique, individual, peculiar, private, curious, funny, quaint, queer, aberrant, anomalous, atypical, irregular, untypical, recherché, scarce, fantastic, phenomenal, bizarre, far-out, kafkaesque, outrageous, outré, wacky, way-out, weird, wild, eccentric, kooky, nonconformist, oddball, offbeat, unconventional, unorthodox, freak, freakish, conspicuous, notable, novel, outstanding, prominent, salient, signal, striking, unexampled, unprecedented, singular, unparalleled, odd, out-of-the-way, uncustomary, unwonted, especial, infrequent, noteworthy, remarkable, unexpected, unfamiliar, unpredictable, unknown, erratic, funky, outlandish, quirky, screwy, deviant, nonrepresentative, nontypical.
Examples of usage:
  1. That's only an average number; and it's all through you that I've lost this chance."
    "Renée Mauperin", Edmond de Goncourt and Jules de Goncourt.
  2. And it proved to be just that way- that is, for average people.
    "The-Life-of-Me-an-autobiography", Johnson, Clarence Edgar.
  3. I have flattered myself that Fanny has done quite well as the average run of girls.
    "After a Shadow, and Other Stories", T. S. Arthur.