not biased or prejudiced; fair; impartial.
Also, especially British, unbiassed.

1600–10; un-1 + biased

unbiasedly, adverb

fair, equitable, tolerant, neutral.
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World English Dictionary
unbiased or unbiassed (ʌnˈbaɪəst)
1.  having no bias or prejudice; fair or impartial
2.  statistics
 a.  (of a sample) not affected by any extraneous factors, conflated variables, or selectivity which influence its distribution; random
 b.  (of an estimator) having an expected value equal to the parameter being estimated; having zero bias
 c.  Also called: discriminatory (of a significance test). Having a power greater than the predetermined significance level
unbiassed or unbiassed
un'biasedly or unbiassed
un'biassedly or unbiassed
un'biasedness or unbiassed
un'biassedness or unbiassed

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

1607, lit., in ref to throws at bowls, from un- (1) "not" + pp. of bias. Fig. sense of "impartial, unprejudiced" is recorded from 1647.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Unbiased and impartial will not do the work that disinterested used to be reserved for.
Right now, my anger and resentment make it difficult for me to formulate clear,
  unbiased research questions.
We provide fundamental, unbiased content so people can ask informed questions.
Such issues as global warming and population have been wrested from rational
  and unbiased scientific discourse.
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