1736, "wrong direction, erroneous guidance," from mis- (1) "bad, wrong" + direction. Meaning "action of a conjurer, thief, etc. to distract someone" is from 1943.
conjurers are experts at misdirection
misdemeanor
misdiagnose
misdiagnosis
misdial
misdirect
misdirection
misdivision
misdo
misdoing
misdoubt
mise en scene