https://www.happiness1st.com/private-schools-and-suicide/
The findings about whether private schools provide some protection against suicide are mixed.
A 2014 study of 8407 children found than 10.1% of privately educated students thought about committing suicide and half of those (5.2%) made plans to commit suicide. More than half those who made plans attempted to commit suicide (2.8%). If these numbers seem If these numbers seem abhorrent to you, you’ll be shocked to learn the frequency was about half what the researchers found for publicly educated children.
An earlier study at Texas State University found that private schools did not provide protection against suicide.