Half of all high school students say they have bullied someone in the past year, with nearly as many saying they have been the victims of bullying, according to a new study released this week.

The study by the non-profit Josephson Institute of Ethics also found that one-third of all high school students say that violence is a big problem at their school, and nearly one in four say they do not feel very safe there. The problem is much less pronounced at private schools, where the figures drop to less than 10 percent in those two categories.