Say you take a test and are told your individual score, as a percentage. Eg: 95%.
You are also told the aggregate score (average) of all students together, as well as how many students in total took the test. Eg: 92% average of 14 students. You are not allowed to know individual scores of any other students.
What algorithm could you apply to estimate your percentile ranking among students? Eg. You scored in the upper 10% of students. How can you use assumptions about distribution and deviation to calculate a realistic percentile ranking?