http://www.businessinsider.com/the-105-smartest-public-colleges-in-america-2015-9 
A website crunched the US News data and ranked public schools by their SAT/ACT composite scores. FSU ranks #31.
 Smarts Rank                           School    Average SAT
 1    Georgia Institute of Technology    1400
 2    University of California—Berkeley    1390
 3    University of Michigan—Ann Arbor    1380
 4    College of William and Mary    1370
 5    University of Virginia    1355
 6    Colorado School of Mines    1340
 6    United States Air Force Academy    1340
 8    University of California—Los Angeles    1325
 9    University of Maryland—College Park    1315
 10    University of North Carolina—Chapel Hill    1305
 10    University of Illinois—Urbana-Champaign    1305
 12    University of California—San Diego    1300
 12    Ohio State University—Columbus    1300
 14    Binghamton University—SUNY    1290
 15    University of Wisconsin—Madison    1285
 15    Missouri University of Science & Technology    1285
 15    United States Naval Academy    1285
 18    University of Texas—Austin    1280
18 New College of Florida 1280 20    United States Military Academy    1275
 21    University of Pittsburgh    1270
22    University of Florida    1265 22    University of Minnesota—Twin Cities    1265
 22    United States Merchant Marine Academy    1265
25    Clemson University    1255 25    University of Texas—Dallas    1255
 25    United States Coast Guard Academy    1255
 28    University of California—Santa Barbara    1250
 28    University of Connecticut    1250
 28    Stony Brook University—SUNY    1250
 31    Miami University—Oxford    1245
 31    North Carolina State University—Raleigh    1245
31    Florida State University    1245 31    Michigan Technological University    1245
35    University of Georgia    1235 36    University of Washington    1230
 37    University of Colorado—Boulder    1225
37    Auburn University    1225 37    University of Alabama—Huntsville    1225
 37    CUNY—Baruch College (3)    1225
 37    Truman State University    1225
 37    California Polytechnic State University—San Luis Obispo (3)    1225
 43    SUNY—Geneseo    1220
 44    University of California—Davis    1215
 44    Virginia Tech    1215
 44    Rutgers, The State University of New Jersey—New Brunswick (3)    1215
 44    University of Massachusetts—Amherst    1215
 44    College of New Jersey    1215
 49    University of Maryland—Baltimore County    1210
 50    Purdue University—West Lafayette    1205
 50    University of Alabama    1205
 50    University of Tennessee    1205
 50    University of South Carolina    1205
 54    University of Delaware    1200
 55    University of North Carolina—Asheville    1195
 56    Pennsylvania State University—University Park    1190
 56    New Jersey Institute of Technology    1190
 56    University of North Carolina—Wilmington    1190
 59    Texas A&M University—College Station    1185
 59    SUNY College of Environmental Science and Forestry    1185
 59    University of Vermont    1185
 59    University of Oklahoma    1185
59    University of Central Florida    1185 59    New Mexico Institute of Mining and Technology    1185
 65    University of California—Irvine    1175
 65    Indiana University—Bloomington    1175
 67    Michigan State University    1165
 67    University of Iowa    1165
 67    University of Missouri    1165
 67    Louisiana State University—Baton Rouge    1165
 67    University of Arkansas    1165
 67    University of Cincinnati    1165
 67    CUNY—Hunter College    1165
74    University of South Florida    1160 74    Virginia Military Institute (3)    1160
 76    Christopher Newport University (2)    1155
 77    University at Buffalo—SUNY    1150
 77    George Mason University (2)    1150
 77    Salisbury University (9)    1150
 77    Appalachian State University    1150
 81    University of California—Santa Cruz    1145
 81    University of Nebraska—Lincoln    1145
 81    Iowa State University    1145
 81    University of Kansas    1145
 81    Arizona State University—Tempe (2)    1145
 81    University of Kentucky    1145
 81    Kansas State University (2)    1145
 81    Oklahoma State University    1145
 81    University of Massachusetts—Lowell    1145
 81    University of Louisville (3)    1145
 81    University of Houston    1145
 81    University of Minnesota—Morris    1145
 81    University of Wisconsin—La Crosse    1145
 94    James Madison University    1140
94    University of South Florida—St. Petersburg    1140 96    University of California—Riverside    1130
 96    College of Charleston    1130
 96    Georgia College & State University    1130
 99    University of Utah    1125
 99    Colorado State University    1125
 99    University of Illinois—Chicago (3)    1125
 99    Mississippi State University    1125
 99    University of Wyoming    1125
 99    Montana State University    1125
 99    Montana Tech of the University of Montana