Police dispatched to the school learned the student left the school grounds at about noon.
The boy was subsequently located and taken into custody, Wilcox said.
Charges of delinquency by reason of inducing panic and delinquency by reason of aggravated menacing were filed at the Clark County Juvenile Detention facility.
According to Wilcox, the school, part of the Greenon Local Schools district, was not locked down and students were not released early because of the incident.
Neither parents nor guardians were notified about the incident by the school or the district.
"After being notified about the situation, our staff was focused on making sure our students and staff were safe and cooperating with police and their investigation," said Megan Anthony, district communications coordinator.
She said district officials will communicate with parents about Wednesday's incident "first thing" Thursday.
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