Final answer:
The 4th largest category of exceptional students can be inferred as those with specialized knowledge of technology, reflecting its value in today's global economy.
Step-by-step explanation:
The 4th largest category of exceptional students seems to be those with specialized knowledge of technology, based on the information provided but not explicitly ranked in the question. When we consider exceptional students, we often classify them based on their academic performance or specialized abilities. Given the data points, we notice that students who intend to transfer to a 4-year educational institution represent the largest group, followed by students studying non-technical subjects, and then students studying technical subjects. Although the fourth category is not specifically ranked, it can be deduced that specialized knowledge of technology would likely follow, considering its importance in the global economy. The data points also highlight the issue of equity in educational resources, the significance of resilient students, and organizations like Mensa that foster high intelligence.