noun, plural discrepancies for 2.
the state or quality of being discrepant; difference; inconsistency.
an instance of difference or inconsistency: There are certain discrepancies between the two versions of the story.
Also, discrepance.

1615–25; < Latin discrepantia, equivalent to discrepant- (see discrepant) + -ia; see -ancy

1. incongruity, disagreement, discordance, contrariety, variance. See difference. 2. variation.
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World English Dictionary
discrepancy (dɪˈskrɛpənsɪ)
n , pl -cies
a conflict or variation, as between facts, figures, or claims
usage  Discrepancy is sometimes wrongly used where disparity is meant. A discrepancy exists between things which ought to be the same; it can be small but is usually significant. A disparity is a large difference between measurable things such as age, rank, or wages

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

early 15c. (discrepance), from L. discrepantia, from discrepantem, prp. of discrepare "sound differently, differ," from dis- "apart, off" + crepare "to rattle, crack." Related: Discrepancies.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Mystified economists put the discrepancy down to unequal distribution.
The discrepancy between redshift and distance is produced by temporal variation
It has argued that the discrepancy cannot be attributed to coverage alone.
Already, it has been alerted to a discrepancy between the amount of oil pumped
  and the amount shipped.
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