You could argue that although it is societal problem the residential aspect of universities exacerbates it.
Many of the stories from secondary schools were about weekend parties rather than in-school incidents, usually parties with inadequate or no parental supervision. That is not to say, of course, that parents should be required to prevent teenagers being abusive, but to say that this environment creates more opportunities for abuse to occur unhindered.
Universities have large numbers of young people living together. As they are normally young adults, supervision is not required. Combined with the social nature of university, there are many, many opportunities for abuse to be perpetrated.
Some of it may be a culture learned at school being continued into higher education but I really question how much is being learned through school and how much through society/family.
To be honest this is not a problem limited to young people. I have worked in aged care and resident-on-resident abuse is a huge problem you rarely hear about in the media.