Difference between Incongruous and Discrepant

INCONGRUOUS vs DISCREPANT: NOUN

One who disagrees or dissents from another, especially in religious belief; a dissenter.
A dissident.

Lacking in harmony; incompatible.
Not in agreement, as with principles; inconsistent.
Not in keeping with what is correct, proper, or logical; inappropriate.
Not congruous; reciprocally disagreeing; not capable of harmonizing or readily assimilating; inharmonious; inappropriate; unsuitable; not fitting; inconsistent; improper
Two numbers, which, with respect to a third, are such that their difference can not be divided by it without a remainder, the two numbers being said to be incongruous with respect to the third; as, twenty and twenty-five are incongruous with respect to four.
Lacking in harmony or compatibility or appropriateness
Not similar or congruent; not matching or fitting in.

In the theory of numbers, not congruent: thus, 7 and 8 are incongruous to the modulus 3, giving different remainders when divided by the modulus.
Not congruous; incapable of reciprocally fitting and agreeing; unsuited or unsuitable; inharmonious.
Consisting of inappropriate parts, or of parts not fitly put together; disjointed: as, an incongruous story.
Synonyms Inconsistent, etc. (see incompatible), unsuitable, unsuited, unfit, inappropriate, ill-matched, out of keeping.

Preposterous, Odd, Unlogical, Out or keeping, Discrepant, Inconsistent, Unreasonable, Inappropriate, Unfitting, Incompatible, Ironical, Illogical, Inharmonious, Ironic, Absurd

Dichotomous, Correlational, Incongruent, Veridical, Divergent, Contradictory, Concordant, Dissenting, Gap, Variance, At variance, Incongruous, Incompatible, Inconsistent, Discordant

Preposterous, Odd, Unlogical, Out or keeping, Discrepant, Inconsistent, Unreasonable, Inappropriate, Unfitting, Incompatible, Ironical, Illogical, Inharmonious, Ironic, Absurd

Dichotomous, Correlational, Incongruent, Veridical, Divergent, Contradictory, Concordant, Dissenting, Gap, Variance, At variance, Incongruous, Incompatible, Inconsistent, Discordant

Discrepant vendor material is segregated on pallets or suitable containers.
This allows discrepant loads to be flagged for further inspection.
Further investigation is needed to resolve these discrepant results.
An iceberg in Manila Bay is a discrepant event.
Discrepant responses: The FFQ questionnaire results were not edited.
However, in this study, there were no discrepant data.
Organize info around concepts, problems, misconceptions, and discrepant situations.
Tracking Discrepant Invoices, Lost Early Pay Discounts etc.
Concur with the responsible TMT Work Package Manager when in agreement with discrepant material dispositions; otherwise raise the discrepant item to Material Review Action.
The moderately discrepant partner resulted in better performance when compared to the low or high discrepant partner.