A top Melbourne private school says it's "urgently investigating" the internal publication of a cast list for an upcoming musical featuring physical descriptions of students such as "bogan", "ratty" and "anime eyes".

St Michael's Grammar School in St Kilda has apologised to parents of Year 6 students after the document was uploaded to its online learning platform before being removed.

The ABC has seen both the apology letter and cast list.

The document, titled "The Addams Family Cast List", listed students that would feature in various roles in the musical as well as physical descriptions typed out next to their names.

The terms included racial descriptors such as "eastern European" and "Asian".

Other descriptions included "tall goof", "bogan" and "always looking in mirror". The ABC i

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