Wondering if it is possible to reconstruct a dataset if I give you the mean, median, standard deviation and N of a dataset. For example, if there are 20 students in a class. The mean of their exam score is 80, median is 85, standard deviation is 14. Of course the maximum score for the exam can only be 100 and minimum zero. I can also further tell you that one student got 96. Is there a way to reconstruct an approximate dataset to reflect these conditions? Thanks for your attention!