Well, now Case accepts roughly 200 students/year (discounting those who are accepted, but matriculated elsewhere). Of course, Case was founded back in 1843 with its first class measuring 67 students. Assuming that the class size expanded at a constant rate over 169 years, that gives us an average of about 134/year for 169 years, giving us a grand total of ~22,600 medical students that have attended Case.
Assuming that only about 10% of students are offered merit-based scholarships (and this is a pure estimation), that leaves 90% without merit, or roughly 20,300 students.
Thus far, no student who has not been offered a merit-based scholarship has indeed been awarded a merit based scholarship. Therefore assuming a SD of 0.0001%, or one ten thousandth, with a sample size of 20,300, it would be reasonable to say that it is due time to occur.
I will be calling the office of financial aid in the morning.