This is ridiculous. I couldn't decide where to post it, as it is a little bit about politics and a little bit about stastics, so there are reasons to post in other forums as well. It can be even a brain teaser (see the question at the end of the post). For those of you who don't know - matura is a serious exam ending stage in education, usually taken when you are 18-19 years old. Matura consist of several separate exams - compulsory Polish language, mathematics, other modern language, plus additional exams, to be selected by student. Exam is graded outside of schools, by selected teachers who don't know the students (that was changed several years ago, as earlier grading was done in schools, which was criticized as being not objective - teachers could treat students differently). After changes number of students passing matura dropped down enormously - before it was around 95%, this year number dropped to record low 75%. Central commission responsible for matura published the initial report about last year results (pdf in Polish). On page 16 there is a plot of results of the Polish language exam - as graded by the independent examiners. Note that grading language exam (when part of the exam is a short paper on the given subject) is never perfectly objective. So - can you guess what was the number of points necessary to pass?