Similar to what I did
in previous years, I ran through 200 simulated qualification match schedules (all 144 matches, using the FIRST match generator). I used each team's
average opr for their contribution to a match. I calculated the standings for each of the 200 simulated qualification schedules, and then looked at some statistics from the aggregate results.
Code:
Team Avg Rnk Med Rnk Mod Rnk SD Rnk Min Rnk Max Rnk #1 seed Top 8 Avg SS Med SS Stdv SS Min SS Max SS
67 1.08 1 1 0.31 1 3 186 200 262.395 264 15.92 215 295
971 3.865 3 2 2.74 1 21 4 187 213.82 215.5 21.28 154 272
1718 3.78 3 2 2.52 1 20 6 192 213.31 214 21.19 150 262
525 6.355 5 4 4.63 1 28 1 158 194.85 196 22.56 133 252
1592 6.02 5 4 3.75 1 21 3 161 195.685 195 20.68 144 251
2619 13.9 11 8 8.84 2 51 0 60 165.165 167 23.51 97 225
910 13.265 12 11 7.80 2 39 0 56 167.045 167.5 21.86 112 232
16 13.725 12 8 7.75 2 44 0 61 165.42 165 22.15 111 224
1208 14.19 12 6 9.47 2 49 0 69 165.68 166 25.46 96 218
842 12.13 10 7 7.78 2 49 0 80 171.045 171 22.84 101 219
1551 12.27 10 10 7.42 2 38 0 62 170.62 172 23.18 117 246
1902 11.89 10 6 7.92 2 42 0 87 172.125 174 22.98 114 231
2771 22.74 20 24 12.60 3 65 0 19 143.79 144 24.95 76 210
177 22.695 20 15 11.32 3 60 0 12 143.585 145 22.55 87 200
308 23.47 23 24 12.00 5 73 0 17 142.775 142 24.00 75 199
226 23.945 22 18 11.89 3 57 0 13 141.57 142 23.83 94 207
294 21.89 19 14 12.19 5 70 0 21 146.135 146.5 24.48 70 198
1073 22.16 20 10 11.95 3 57 0 18 145.65 147 24.38 92 210
558 23.67 21.5 12 12.46 5 60 0 13 142.37 140 25.14 81 207
868 22.59 20 16 12.53 3 73 0 20 144.605 145 25.38 65 216
1922 24 22 22 13.32 4 74 0 18 142.145 141 25.90 67 203
2137 23.17 21 29 13.03 4 69 0 20 143.025 144 25.51 68 205
706 37.305 36 34 14.84 5 75 0 3 118.105 117.5 24.27 58 201
2415 35.535 34 28 15.12 8 80 0 2 120.67 122 24.05 54 183
343 37.31 37 32 15.05 8 73 0 1 117.75 117.5 24.03 60 176
3123 36.465 36 36 15.88 7 74 0 1 118.995 119 25.69 59 177
281 36.36 34.5 31 15.10 7 75 0 3 119.46 119.5 24.64 51 188
2377 37.175 37 42 15.27 7 73 0 3 117.84 116 24.86 64 180
1727 36.955 35 25 16.07 6 78 0 2 119.115 120 26.03 49 188
1868 36.58 37 40 14.68 6 72 0 1 119.27 117.5 23.22 66 190
93 35.78 34 30 16.12 4 82 0 3 120.565 121 25.81 52 208
1296 37.37 35 23 16.06 8 80 0 2 117.855 119 25.12 50 192
801 34.7 33.5 50 14.56 7 69 0 4 122.315 120 23.86 73 188
486 37.045 35 34 15.54 9 83 0 0 118.04 119 24.77 43 175
3161 35.85 35 18 14.76 7 68 0 5 120.64 120 24.33 75 185
11 35.73 34 27 15.97 5 83 0 2 120.255 121 25.81 45 200
151 36.21 34.5 30 15.64 7 80 0 3 120.05 119 24.88 64 175
337 36.62 36 36 16.21 6 85 0 3 119.075 118.5 26.60 36 187
3038 38.81 37 21 15.85 7 83 0 2 115.33 115 24.77 39 188
399 35.225 34 34 14.44 7 70 0 1 120.635 120 23.32 70 190
2614 37.055 35 24 15.63 6 75 0 3 118.145 121 24.98 56 187
20 34.26 32 24 14.87 6 74 0 4 123.185 123 24.17 63 189
772 36.45 35 39 16.36 4 78 0 3 119.75 119 25.73 61 200
102 36.66 35 22 15.79 5 74 0 4 119.395 119.5 25.73 60 193
829 37.57 35 26 14.88 9 72 0 0 117.195 118 23.07 60 174
2506 52.52 53 54 15.61 15 82 0 0 93.985 92.5 23.72 35 159
3125 52.73 53 72 16.04 8 85 0 1 93.88 92 24.70 32 175
2465 52.725 55.5 62 15.25 13 81 0 0 94.31 93 23.17 44 164
3238 51.525 53 58 15.64 13 84 0 0 95.99 95.5 23.55 34 163
585 52.89 55 57 14.78 9 83 0 0 93.795 92 21.94 47 173
612 53.615 55.5 59 14.73 15 83 0 0 92.345 91 22.02 37 161
2341 52.4 52.5 47 17.00 13 85 0 0 94.405 95 25.81 35 170
932 51.715 52 55 14.55 10 82 0 0 95.46 97 21.66 37 169
461 53.255 55 41 15.80 14 85 0 0 93.315 94 23.61 38 158
668 51.41 52 45 14.47 17 82 0 0 95.865 97 21.76 44 152
125 53.82 56 62 15.28 13 85 0 0 92.235 91 23.63 25 161
3168 51.98 54 61 16.69 16 84 0 0 95.15 94 25.62 38 160
2265 53.61 54 43 15.32 14 82 0 0 92.785 92 23.36 37 161
2638 50.765 50.5 50 16.11 14 83 0 0 96.675 96.5 24.48 45 155
178 52.46 53 49 15.21 14 85 0 0 94.24 94 22.86 33 155
1452 53.09 54 55 16.59 13 84 0 0 93.585 93 25.50 36 169
3176 53.265 53 62 15.43 18 85 0 0 93.495 95 23.47 35 154
2757 53.74 55 57 14.80 14 84 0 0 92.48 91 21.96 40 152
3231 66.525 70 73 13.16 13 85 0 0 71.95 68 22.27 27 158
533 67.62 71 85 13.70 13 86 0 0 70.125 68 23.67 19 162
647 66.255 68 65 13.40 24 86 0 0 71.77 72 22.65 19 143
2424 66.915 69.5 69 13.80 18 86 0 0 71.095 69 23.45 23 153
2164 67.065 70.5 78 13.88 23 86 0 0 70.25 70 23.52 17 143
3306 66.7 70 70 13.07 22 85 0 0 71.6 69 21.61 27 134
116 65.395 67 69 12.29 29 86 0 0 73.97 73 20.94 23 132
2023 67.015 69.5 80 13.15 28 86 0 0 71.065 70.5 22.26 29 125
2534 68.3 71 75 11.89 27 86 0 0 68.865 66 20.57 19 130
166 65.715 67 64 12.53 23 86 0 0 73.235 73 20.99 18 139
128 67.92 71 78 12.45 24 86 0 0 69.17 66 20.66 25 130
342 66.555 69 70 13.07 27 86 0 0 71.385 71 21.92 26 134
2102 67.79 70 83 13.01 15 86 0 0 69.73 68 21.75 28 150
2895 68.305 71.5 76 13.06 21 86 0 0 68.19 65.5 22.64 18 146
2914 66.625 68 72 13.01 28 85 0 0 71.545 71.5 22.12 19 133
117 76.04 78 84 8.66 44 86 0 0 53.3 53 18.73 11 109
3128 77.695 81 85 8.96 39 86 0 0 48.355 46.5 20.51 6 114
120 77.975 80 83 7.38 34 86 0 0 49.29 48 17.43 12 117
1311 77.5 81 86 8.89 44 86 0 0 48.855 46 20.14 6 107
2497 78.735 82 84 7.76 47 86 0 0 47.095 44.5 18.94 7 109
896 82.785 85 86 4.72 60 86 0 0 32.525 30 17.57 -2 84
2669 68.74 71.5 82 12.26 23 86 0 0 67.715 67 21.72 14 137
3083 67.495 71 79 13.98 22 86 0 0 70.075 68 23.70 21 142