Statistics

The following back-to-back stem and leaf diagram represents the marks obtained by a class of students so far at Mathematics examination.

1. Find the median marks for boys and girls respectively.

   [2]

2. Find the modal marks for boys and girls respectively.

   [2]

3. Did the boys or the girls perform better for the Mathematics examination?

   [2]

4. The top \(20\%\) of the students in the class will be participating in the Mathematics Olympiad competition. What was the minimum score of the student who managed to participate in the competition?

   [2]