以下是美国前50大学研究生的平均GPA要求：

1. Princeton University: 3.8
2. Harvard University: 3.8
3. Columbia University: 3.7
4. Massachusetts Institute of Technology (MIT): 3.7
5. University of Chicago: 3.7
6. Stanford University: 3.7
7. Yale University: 3.7
8. California Institute of Technology (Caltech): 3.7
9. Duke University: 3.6
10. University of Pennsylvania: 3.6
11. Johns Hopkins University: 3.6
12. Northwestern University: 3.6
13. Dartmouth College: 3.6
14. Brown University: 3.6
15. Cornell University: 3.6
16. University of Notre Dame: 3.6
17. University of California, Berkeley: 3.6
18. University of Michigan-Ann Arbor: 3.6
19. University of Virginia: 3.6
20. Georgetown University: 3.5
21. University of California, Los Angeles (UCLA): 3.5
22. University of North Carolina at Chapel Hill: 3.5
23. University of Southern California: 3.5
24. University of Texas at Austin: 3.5
25. Vanderbilt University: 3.5
26. Washington University in St. Louis: 3.5
27. Emory University: 3.5
28. University of California, San Diego: 3.5
29. University of Wisconsin-Madison: 3.5
30. Carnegie Mellon University: 3.4
31. New York University: 3.4
32. Rice University: 3.4
33. University of California, Davis: 3.4
34. University of California, Irvine: 3.4
35. University of Illinois at Urbana-Champaign: 3.4
36. University of Maryland, College Park: 3.4
37. University of Rochester: 3.4
38. University of Washington: 3.4
39. Boston College: 3.3
40. Georgia Institute of Technology: 3.3
41. Ohio State University: 3.3
42. Pennsylvania State University: 3.3
43. Purdue University: 3.3
44. University of Arizona: 3.3
45. University of Colorado Boulder: 3.3
46. University of Minnesota-Twin Cities: 3.3
47. University of Pittsburgh: 3.3
48. University of Utah: 3.3
49. University of Wisconsin-Milwaukee: 3.3
50. Virginia Tech: 3.3

请注意，这些是平均GPA要求，实际上每个学校的具体要求可能会有所不同，还需要参考每个学校的官方网站或联系招生办公室以获取更准确的信息。