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double standard (n.)

in reference to morality and ethics, "rule, principle, or judgment viewed as applying more strictly to one set of people or circumstance than another," 1871; see double (adj.) + standard (n.). Not common before mid-20c. (especially of codes of sexual behavior for women more strict than those for men); earlier it referred to monetary policy and bimetallism (1823). 

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Definitions of double standard from WordNet

double standard (n.)
an ethical or moral code that applies more strictly to one group than to another;
From wordnet.princeton.edu