The locations included the premises of the BBC, Britain’s public broadcaster, a home for disturbed adolescent girls, and 14 medical facilities like hospitals, mental health units and a hospice. The accusations spanned from 1955 to 2009. The youngest victim was an 8-year-old boy, the report said, and the oldest was 47.

Separately, the Crown Prosecution Service acknowledged that three victims who accused Mr. Savile of abuse in 2009 were not taken seriously enough. “I would like to take the opportunity to apologize for the shortcomings in the part played by the Crown Prosecution Service in these cases,” Keir Starmer, the director of public prosecutions, said in a statement.

According to the report, the majority of the victims — 73 percent — were under 18. A total of 450 people came forward to accuse Mr. Savile after the scandal exploded in October 2012, and the police concluded that the number of crimes of which he is accused totals 214, 34 of them rapes.

Most of the victims were aged between 13 and 16 years old, and 82 percent of them were female, the report said.