Frequencies for backsurgeryper1000medicareenroll variable in 2003_surg_discharg Back | Surgery per | 1000 | Medicare | Enrollees | 2003 | Freq. Percent Cum. ------------+----------------------------------- 1.64271 | 1 0.33 0.33 1.643206 | 1 0.33 0.65 1.657915 | 1 0.33 0.98 1.674511 | 1 0.33 1.30 1.81613 | 1 0.33 1.63 1.831646 | 1 0.33 1.95 1.840366 | 1 0.33 2.28 2.006224 | 1 0.33 2.61 2.100331 | 1 0.33 2.93 2.120369 | 1 0.33 3.26 2.131835 | 1 0.33 3.58 2.187216 | 1 0.33 3.91 2.222206 | 1 0.33 4.23 2.224727 | 1 0.33 4.56 2.229668 | 1 0.33 4.89 2.233102 | 1 0.33 5.21 2.30467 | 1 0.33 5.54 2.31268 | 1 0.33 5.86 2.336044 | 1 0.33 6.19 2.361818 | 1 0.33 6.51 2.376478 | 1 0.33 6.84 2.446065 | 1 0.33 7.17 2.498818 | 1 0.33 7.49 2.50436 | 1 0.33 7.82 2.514152 | 1 0.33 8.14 2.523782 | 1 0.33 8.47 2.533597 | 1 0.33 8.79 2.542463 | 1 0.33 9.12 2.576576 | 1 0.33 9.45 2.59383 | 1 0.33 9.77 2.609142 | 1 0.33 10.10 2.673234 | 1 0.33 10.42 2.686747 | 1 0.33 10.75 2.697957 | 1 0.33 11.07 2.704621 | 1 0.33 11.40 2.730919 | 1 0.33 11.73 2.734101 | 1 0.33 12.05 2.743105 | 1 0.33 12.38 2.759059 | 1 0.33 12.70 2.763208 | 1 0.33 13.03 2.814608 | 1 0.33 13.36 2.835075 | 1 0.33 13.68 2.894648 | 1 0.33 14.01 2.915758 | 1 0.33 14.33 2.927198 | 1 0.33 14.66 2.943245 | 1 0.33 14.98 2.946125 | 1 0.33 15.31 2.954872 | 1 0.33 15.64 2.96861 | 1 0.33 15.96 2.982413 | 1 0.33 16.29 2.990008 | 1 0.33 16.61 2.994024 | 1 0.33 16.94 3.027808 | 1 0.33 17.26 3.038332 | 1 0.33 17.59 3.072302 | 1 0.33 17.92 3.081628 | 1 0.33 18.24 3.081929 | 1 0.33 18.57 3.089963 | 1 0.33 18.89 3.092845 | 1 0.33 19.22 3.134563 | 1 0.33 19.54 3.138375 | 1 0.33 19.87 3.139785 | 1 0.33 20.20 3.153362 | 1 0.33 20.52 3.166595 | 1 0.33 20.85 3.17695 | 1 0.33 21.17 3.188275 | 1 0.33 21.50 3.189091 | 1 0.33 21.82 3.190777 | 1 0.33 22.15 3.192465 | 1 0.33 22.48 3.197189 | 1 0.33 22.80 3.220072 | 1 0.33 23.13 3.234989 | 1 0.33 23.45 3.242159 | 1 0.33 23.78 3.242264 | 1 0.33 24.10 3.245019 | 1 0.33 24.43 3.245061 | 1 0.33 24.76 3.253565 | 1 0.33 25.08 3.274899 | 1 0.33 25.41 3.287698 | 1 0.33 25.73 3.296708 | 1 0.33 26.06 3.338338 | 1 0.33 26.38 3.357698 | 1 0.33 26.71 3.358818 | 1 0.33 27.04 3.363886 | 1 0.33 27.36 3.36835 | 1 0.33 27.69 3.383015 | 1 0.33 28.01 3.420744 | 1 0.33 28.34 3.424148 | 1 0.33 28.66 3.451003 | 1 0.33 28.99 3.469881 | 1 0.33 29.32 3.48747 | 1 0.33 29.64 3.493129 | 1 0.33 29.97 3.494892 | 1 0.33 30.29 3.517185 | 1 0.33 30.62 3.546762 | 1 0.33 30.94 3.550889 | 1 0.33 31.27 3.551815 | 1 0.33 31.60 3.558624 | 1 0.33 31.92 3.562174 | 1 0.33 32.25 3.589414 | 1 0.33 32.57 3.594137 | 1 0.33 32.90 3.605641 | 1 0.33 33.22 3.609102 | 1 0.33 33.55 3.655539 | 1 0.33 33.88 3.65673 | 1 0.33 34.20 3.662007 | 1 0.33 34.53 3.662402 | 1 0.33 34.85 3.677902 | 1 0.33 35.18 3.685045 | 1 0.33 35.50 3.688036 | 1 0.33 35.83 3.695569 | 1 0.33 36.16 3.710062 | 1 0.33 36.48 3.735416 | 1 0.33 36.81 3.749965 | 1 0.33 37.13 3.751745 | 1 0.33 37.46 3.756366 | 1 0.33 37.79 3.771321 | 1 0.33 38.11 3.775673 | 1 0.33 38.44 3.777099 | 1 0.33 38.76 3.791496 | 1 0.33 39.09 3.800345 | 1 0.33 39.41 3.80132 | 1 0.33 39.74 3.829187 | 1 0.33 40.07 3.843417 | 1 0.33 40.39 3.847986 | 1 0.33 40.72 3.864714 | 1 0.33 41.04 3.865483 | 1 0.33 41.37 3.868131 | 1 0.33 41.69 3.88237 | 1 0.33 42.02 3.889472 | 1 0.33 42.35 3.90467 | 1 0.33 42.67 3.908912 | 1 0.33 43.00 3.934567 | 1 0.33 43.32 3.938753 | 1 0.33 43.65 3.943897 | 1 0.33 43.97 3.947921 | 1 0.33 44.30 3.970064 | 1 0.33 44.63 3.98628 | 1 0.33 44.95 3.996943 | 1 0.33 45.28 4.001083 | 1 0.33 45.60 4.003448 | 1 0.33 45.93 4.028388 | 1 0.33 46.25 4.029828 | 1 0.33 46.58 4.038952 | 1 0.33 46.91 4.052474 | 1 0.33 47.23 4.056089 | 1 0.33 47.56 4.061881 | 1 0.33 47.88 4.06214 | 1 0.33 48.21 4.068932 | 1 0.33 48.53 4.072066 | 1 0.33 48.86 4.073057 | 1 0.33 49.19 4.07454 | 1 0.33 49.51 4.082524 | 1 0.33 49.84 4.104761 | 1 0.33 50.16 4.105222 | 1 0.33 50.49 4.110622 | 1 0.33 50.81 4.119459 | 1 0.33 51.14 4.133091 | 1 0.33 51.47 4.141291 | 1 0.33 51.79 4.14673 | 1 0.33 52.12 4.149063 | 1 0.33 52.44 4.152534 | 1 0.33 52.77 4.164973 | 1 0.33 53.09 4.165422 | 1 0.33 53.42 4.166421 | 1 0.33 53.75 4.178331 | 1 0.33 54.07 4.202273 | 1 0.33 54.40 4.207526 | 1 0.33 54.72 4.212435 | 1 0.33 55.05 4.214777 | 1 0.33 55.37 4.24795 | 1 0.33 55.70 4.269918 | 1 0.33 56.03 4.278158 | 1 0.33 56.35 4.289024 | 1 0.33 56.68 4.28903 | 1 0.33 57.00 4.295021 | 1 0.33 57.33 4.344592 | 1 0.33 57.65 4.3468 | 1 0.33 57.98 4.358414 | 1 0.33 58.31 4.360608 | 1 0.33 58.63 4.386811 | 1 0.33 58.96 4.39955 | 1 0.33 59.28 4.400127 | 1 0.33 59.61 4.400399 | 1 0.33 59.93 4.407017 | 1 0.33 60.26 4.41044 | 1 0.33 60.59 4.419421 | 1 0.33 60.91 4.430373 | 1 0.33 61.24 4.463406 | 1 0.33 61.56 4.465428 | 1 0.33 61.89 4.47456 | 1 0.33 62.21 4.479003 | 1 0.33 62.54 4.482224 | 1 0.33 62.87 4.503566 | 1 0.33 63.19 4.527769 | 1 0.33 63.52 4.534219 | 1 0.33 63.84 4.540399 | 1 0.33 64.17 4.548828 | 1 0.33 64.50 4.560232 | 1 0.33 64.82 4.584533 | 1 0.33 65.15 4.599354 | 1 0.33 65.47 4.605497 | 1 0.33 65.80 4.625584 | 1 0.33 66.12 4.629923 | 1 0.33 66.45 4.715027 | 1 0.33 66.78 4.744031 | 1 0.33 67.10 4.758475 | 1 0.33 67.43 4.779612 | 1 0.33 67.75 4.781977 | 1 0.33 68.08 4.798784 | 1 0.33 68.40 4.807832 | 1 0.33 68.73 4.828606 | 1 0.33 69.06 4.851112 | 1 0.33 69.38 4.893929 | 1 0.33 69.71 4.927002 | 1 0.33 70.03 4.933674 | 1 0.33 70.36 4.951425 | 1 0.33 70.68 4.964028 | 1 0.33 71.01 4.978179 | 1 0.33 71.34 4.980106 | 1 0.33 71.66 4.99388 | 1 0.33 71.99 5.009354 | 1 0.33 72.31 5.016301 | 1 0.33 72.64 5.042652 | 1 0.33 72.96 5.042979 | 1 0.33 73.29 5.04729 | 1 0.33 73.62 5.048746 | 1 0.33 73.94 5.06289 | 1 0.33 74.27 5.066794 | 1 0.33 74.59 5.082336 | 1 0.33 74.92 5.126153 | 1 0.33 75.24 5.165689 | 1 0.33 75.57 5.182856 | 1 0.33 75.90 5.206557 | 1 0.33 76.22 5.23178 | 1 0.33 76.55 5.232106 | 1 0.33 76.87 5.234362 | 1 0.33 77.20 5.247963 | 1 0.33 77.52 5.28264 | 1 0.33 77.85 5.305215 | 1 0.33 78.18 5.311537 | 1 0.33 78.50 5.366076 | 1 0.33 78.83 5.397329 | 1 0.33 79.15 5.407499 | 1 0.33 79.48 5.438983 | 1 0.33 79.80 5.474802 | 1 0.33 80.13 5.477908 | 1 0.33 80.46 5.484615 | 1 0.33 80.78 5.485934 | 1 0.33 81.11 5.496187 | 1 0.33 81.43 5.501766 | 1 0.33 81.76 5.539223 | 1 0.33 82.08 5.548192 | 1 0.33 82.41 5.562023 | 1 0.33 82.74 5.562048 | 1 0.33 83.06 5.575244 | 1 0.33 83.39 5.577205 | 1 0.33 83.71 5.601073 | 1 0.33 84.04 5.624145 | 1 0.33 84.36 5.688231 | 1 0.33 84.69 5.691799 | 1 0.33 85.02 5.697583 | 1 0.33 85.34 5.711603 | 1 0.33 85.67 5.718392 | 1 0.33 85.99 5.730268 | 1 0.33 86.32 5.741236 | 1 0.33 86.64 5.753921 | 1 0.33 86.97 5.83796 | 1 0.33 87.30 5.858512 | 1 0.33 87.62 5.881496 | 1 0.33 87.95 5.897558 | 1 0.33 88.27 5.904428 | 1 0.33 88.60 5.936131 | 1 0.33 88.93 5.966956 | 1 0.33 89.25 5.975358 | 1 0.33 89.58 6.025988 | 1 0.33 89.90 6.092571 | 1 0.33 90.23 6.137726 | 1 0.33 90.55 6.18373 | 1 0.33 90.88 6.206726 | 1 0.33 91.21 6.223581 | 1 0.33 91.53 6.276615 | 1 0.33 91.86 6.286663 | 1 0.33 92.18 6.422537 | 1 0.33 92.51 6.515757 | 1 0.33 92.83 6.588856 | 1 0.33 93.16 6.644988 | 1 0.33 93.49 6.714507 | 1 0.33 93.81 6.719738 | 1 0.33 94.14 6.77691 | 1 0.33 94.46 6.849477 | 1 0.33 94.79 7.06927 | 1 0.33 95.11 7.155486 | 1 0.33 95.44 7.182824 | 1 0.33 95.77 7.226938 | 1 0.33 96.09 7.22999 | 1 0.33 96.42 7.272559 | 1 0.33 96.74 7.276659 | 1 0.33 97.07 7.424525 | 1 0.33 97.39 7.502851 | 1 0.33 97.72 7.748446 | 1 0.33 98.05 7.808942 | 1 0.33 98.37 8.145404 | 1 0.33 98.70 8.148465 | 1 0.33 99.02 8.492554 | 1 0.33 99.35 9.369307 | 1 0.33 99.67 9.416172 | 1 0.33 100.00 ------------+----------------------------------- Total | 307 100.00 by Jean Roth , jroth@nber.org , 14 Mar 2018