WASHINGTON — The University of Cincinnati has agreed to pay $4.85 million to the family of an unarmed black man who was shot to death in July by one of its police officers, a settlement that also requires the college to provide an undergraduate education to his 12 children, create a memorial to him on campus and include his family in discussions on police reform.

The family of Samuel DuBose, who was killed by a white officer during a routine traffic stop in what a prosecutor called a “senseless, asinine shooting,” reached the settlement after two days of mediation, the university said Monday in announcing the deal. It estimated the total cost to the university, which is publicly funded, to be $5.3 million.

The agreement, which does not require the university to admit liability, includes a promise that the university president, Santa J. Ono, will apologize to the DuBose family. In an interview, Dr. Ono said the university felt a “civic responsibility” to go beyond the kind of cash settlement customary in police-involved deaths.

“I wanted to take care of the family and the next generation of the family,” Dr. Ono said. “And I wanted it to be absolutely clear that the University of Cincinnati cares not only about this family, but also about peace within the city of Cincinnati.”