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THE THREE RANKINGS USED |
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ACADEMIC RANKING OF WORLD UNIVERSITIES Institute of Higher Education, Shanghai Jiao Tong University, 2004. This ranking was compiled using "several indicators of academic or research performance, including alumni and staff winning Nobel Prizes and Fields Medals, highly cited researchers, articles published in Nature and Science, articles in Science Citation Index-expanded and Social Science Citation Index, and academic performance with respect to the size of an institution." A Further Analysis about This Ranking has been given by Da Hsuan Feng. |
WORLD UNIVERSITY RANKINGS [London] Times Higher Education Supplement (THES), 2004. This ranking was compiled "with the help of findings from a survey for the THES of 1,300 academics in 88 countries. They were asked to name the best institutions in the fields that they felt knowledgeable about." |
TOP AMERICAN RESEARCH UNIVERSITIES, The Center at the University of Florida, 2004. This website is not a ranking but a collection of data for ranking research universities. Our ranking was compiled solely from data provided by this website with the exception of SAT and ACT scores obtained from US News and World Report. |
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METHODOLOGY USED |
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| We use a procedure involving z-scores (the z-score of a number in a list is the distance, in standard deviations, between this number and the average of the list) and a linear transformation to make lists (usually given as columns) of numbers (oftentimes points awarded to universities) more compatible by forcing the average of the largest twenty-five numbers in each list to be 75 and the largest number in each list to be 100; our choice of the numbers 75 and 100 was arbitrary but perhaps based on aesthetic considerations. In general, our procedure will change the numbers on a list but will not change the ordering (for example, if University A is ranked seventh on a survey, after applying our procedure, University A will still be ranked seventh). We did this procedure on each of the three rankings used, on the sum of these three rankings, and on the nine columns of data collected in the Top American Research Universities. We spare you the calculations. |
| EXPLANATION OF SYMBOLS USED |
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ABBREVISIONS USED |
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EXPRESSION |
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| AR |
|
Academic Ranking of World Universities |
| LT |
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World University Rankings (London Times) |
| Rev |
|
Our revision of the points awarded |
| SC |
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Point total on our ranking |
| UF |
|
Top American Research Universities |
| INFORMATION ABOUT THE RANKINGS USED |
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AR |
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AR Revised |
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LT |
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LT Revised |
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UF |
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UF Revised |
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| Number of Universities Ranked |
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500 |
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|
|
200 |
|
|
|
50 |
|
50 |
Number of Universities Receiving Points |
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100 |
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|
200 |
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|
|
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|
50 |
Number of USA Universities (excluding medical schools) Receiving Points |
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48 |
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48 |
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61 |
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61 |
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|
50 |
Points Received by USA University Ranked One (Harvard) |
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100 |
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100 |
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1000 |
|
100 |
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|
100 |
Points Received by USA University Ranked Two |
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77.2 |
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87.5 |
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880 |
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95.0 |
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|
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91.8 |
Points Received by USA University Ranked 48 |
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25.1 |
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58.9 |
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131 |
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64.0 |
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|
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53.8 |
Points Received by Lowest Scoring University |
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25.1 |
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58.9 |
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103 |
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61.8 |
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49.1 |
The Average of the Twenty-five highest Ranking USA Universities |
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54.5 |
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75.0 |
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413 |
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75.0 |
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75.0 |
Standard Deviation of the Twenty-five Highest Ranking USA Universities |
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15.3 |
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8.42 |
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238 |
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10.1 |
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8.01 |
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OUR RANKING OF AMERICA'S BEST RESEARCH UNIVERSITIES |
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| In the first three columns after UNIVERSITY, we give the position that the top-scoring universities were ranked by each of our three rankings. In the next three columns, this table gives the points the university received from each of our three rankings (as always, we modify each of these numbers so that the average of the twenty-five highest numbers in this column is 75 and the highest score of 100. For example, on the World University Rankings (London Times) ranking, denoted by LT, we see that MIT ranked fourth and received, by our calculation, 91.0 points. The last column (SCORE) gives the number that determines our graduate school rank. The first step in calculating this last column SCORE is to add the numbers in the three preceding columns; this sum is slightly modified so that the average of the twenty-five highest numbers in this last column is 75 and the highest score of 100. |
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UNIVERSITY |
AR |
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LT |
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UF |
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AR |
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LT |
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UF |
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SCORE |
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1 |
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Harvard |
1.0 |
|
1 |
|
1 |
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100 |
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100 |
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100 |
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100 |
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2 |
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Stanford |
2.0 |
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5 |
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2 |
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87.5 |
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86.7 |
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91.8 |
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88.8 |
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3 |
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UC Berkeley |
3.0 |
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2 |
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4 |
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85.8 |
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94.9 |
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81.0 |
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87.4 |
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4 |
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MIT |
4.0 |
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3 |
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5 |
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84.8 |
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91.0 |
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79.9 |
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85.4 |
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5 |
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Cal Tech |
5.0 |
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4 |
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21 |
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83.0 |
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88.9 |
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68.3 |
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80.2 |
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6 |
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Yale |
9.0 |
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6 |
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6 |
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77.3 |
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82.2 |
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78.4 |
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79.5 |
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7 |
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Princeton |
6.0 |
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7 |
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16 |
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80.0 |
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81.1 |
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71.5 |
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77.8 |
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8 |
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Columbia |
7.0 |
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10 |
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10 |
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78.7 |
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73.8 |
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76.4 |
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76.5 |
|
9 |
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Johns Hopkins |
17.0 |
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13 |
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3 |
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71.2 |
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71.5 |
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82.5 |
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75.3 |
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10 |
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Cornell |
10.0 |
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11 |
|
11 |
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75.6 |
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72.2 |
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75.8 |
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74.8 |
|
11 |
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U Chicago |
8.0 |
|
8 |
|
22 |
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78.3 |
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76.3 |
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68.2 |
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74.5 |
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12 |
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UCLA |
13.0 |
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14 |
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7 |
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73.4 |
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70.9 |
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77.9 |
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74.3 |
|
13 |
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U Pennsylvania |
12.0 |
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15 |
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8 |
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73.5 |
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70.5 |
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77.0 |
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73.9 |
|
14 |
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U Michigan |
15.0 |
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16 |
|
12 |
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72.2 |
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69.9 |
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75.7 |
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72.9 |
|
15 |
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U Wisconsin |
14.0 |
|
24 |
|
9 |
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72.5 |
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65.2 |
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77.0 |
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71.9 |
|
16 |
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UC San Diego |
11.0 |
|
12 |
|
20 |
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74.6 |
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71.5 |
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68.4 |
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71.8 |
|
17 |
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U Washington |
16.0 |
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27 |
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13 |
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72.0 |
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64.9 |
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73.0 |
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70.3 |
|
18 |
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U Texas |
27.0 |
|
9 |
|
18 |
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64.2 |
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75.3 |
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69.7 |
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70.0 |
|
19 |
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U Illinois |
18.0 |
|
17 |
|
17 |
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68.9 |
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69.4 |
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70.5 |
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69.9 |
|
20 |
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Duke |
21.0 |
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20 |
|
14 |
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66.4 |
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66.4 |
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72.2 |
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68.7 |
|
21 |
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Northwestern |
20.0 |
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26 |
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19 |
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66.8 |
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65.1 |
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69.1 |
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67.3 |
|
22 |
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Washington U |
19.0 |
|
39 |
|
23 |
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|
68.8 |
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63.8 |
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68.0 |
|
67.2 |
|
23 |
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U Southern Calif |
31.5 |
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