Lady in the Bad School

Lady in the Bad School summary:

Kiryuuin Yuri, a rich young lady, transfers to Mitsuya Private High School, a den of delinquents.
Her goal is to meet real delinquents and have heated one-on-one fights, like those in the delinquent manga she adores. However, contrary to her ideal, the reality is that she is surrounded by "trash" who are too presumptuous to even be called delinquents...
Bullies who rule the class, voyeurs who infest the train to school, abusive breeder in the neighborhood.
A new refreshing action series begins as this lovely young lady beats up the scums in order to reach the top─!