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miscount (v.)

late 14c., "to count erroneously," also "to misjudge, deceive oneself," from Old French mesconter "give a false statement; miscalculate, be wrong in reckoning" (Modern French mécompter), from mes- "badly, wrongly" (see mis- (2)) + conter (see count (v.)). Related: Miscounted; miscounting.

miscount (n.)

"an erroneous counting or numbering," 1580s, from mis- (1) + count (n.2).

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Definitions of miscount from WordNet
1
miscount (v.)
count wrongly;
2
miscount (n.)
an inaccurate count;
From wordnet.princeton.edu