a standard, model, or pattern.
general level or average: Two cars per family is the norm in most suburban communities.
a designated standard of average performance of people of a given age, background, etc.
a standard based on the past average performance of a given individual.
a real-valued, nonnegative function whose domain is a vector space, with properties such that the function of a vector is zero only when the vector is zero, the function of a scalar times a vector is equal to the absolute value of the scalar times the function of the vector, and the function of the sum of two vectors is less than or equal to the sum of the functional values of each vector. The norm of a real number is its absolute value.
the greatest difference between two successive points of a given partition.

1815–25; < Latin norma carpenter's square, rule, pattern

normless, adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
norm (nɔːm)
1.  an average level of achievement or performance, as of a group or person
2.  a standard of achievement or behaviour that is required, desired, or designated as normal
3.  sociol an established standard of behaviour shared by members of a social group to which each member is expected to conform
4.  maths
 a.  the length of a vector expressed as the square root of the sum of the square of its components
 b.  another name for mode
5.  geology the theoretical standard mineral composition of an igneous rock
[C19: from Latin norma carpenter's rule, square]

Norm (nɔːm)
a stereotype of the unathletic Australian male
[from a cartoon figure in the government-sponsored Life, Be In It campaign]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

"standard, pattern, model," 1821, from Fr. norme, from O.Fr., from L. norma "carpenter's square, rule, pattern," of unknown origin. Klein suggests a borrowing (via Etruscan) of Gk. gnomon "carpenter's square." The L. form of the word, norma, was used in Eng. in the sense of "carpenter's square" from
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Abbreviations & Acronyms
  1. standard

  2. model

  3. pattern

The American Heritage® Abbreviations Dictionary, Third Edition
Copyright © 2005 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Example sentences
While many industry norms are questionable at best, agents provide necessary
  and important services.
However, the emphasis is on the social and locals follow a set of drinking
Constructing understanding of social norms and peer interaction is a vital
  process developed throughout adolescence.
But adhering to strict cultural norms can have serious consequences.
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