Frequencies for backsurgeryper1000medicareenroll variable in 1997_surg_discharg Back | Surgery per | 1000 | Medicare | Enrollees | 1997 | Freq. Percent Cum. ------------+----------------------------------- 1.15885 | 1 0.33 0.33 1.251345 | 1 0.33 0.65 1.286246 | 1 0.33 0.98 1.372989 | 1 0.33 1.30 1.416723 | 1 0.33 1.63 1.42847 | 1 0.33 1.95 1.450773 | 1 0.33 2.28 1.468953 | 1 0.33 2.61 1.468987 | 1 0.33 2.93 1.527744 | 1 0.33 3.26 1.584765 | 1 0.33 3.58 1.621929 | 1 0.33 3.91 1.623643 | 1 0.33 4.23 1.650603 | 1 0.33 4.56 1.707302 | 1 0.33 4.89 1.7319 | 1 0.33 5.21 1.742236 | 1 0.33 5.54 1.79487 | 1 0.33 5.86 1.799955 | 1 0.33 6.19 1.847875 | 1 0.33 6.51 1.848131 | 1 0.33 6.84 1.864219 | 1 0.33 7.17 1.868267 | 1 0.33 7.49 1.903382 | 1 0.33 7.82 1.912907 | 1 0.33 8.14 1.916807 | 1 0.33 8.47 1.933171 | 1 0.33 8.79 1.950833 | 1 0.33 9.12 1.971079 | 1 0.33 9.45 1.971261 | 1 0.33 9.77 2.043161 | 1 0.33 10.10 2.051923 | 1 0.33 10.42 2.058776 | 1 0.33 10.75 2.089919 | 1 0.33 11.07 2.09473 | 1 0.33 11.40 2.107358 | 1 0.33 11.73 2.126916 | 1 0.33 12.05 2.130078 | 1 0.33 12.38 2.162485 | 1 0.33 12.70 2.167793 | 1 0.33 13.03 2.175481 | 1 0.33 13.36 2.186567 | 1 0.33 13.68 2.189121 | 1 0.33 14.01 2.193881 | 1 0.33 14.33 2.214547 | 1 0.33 14.66 2.22471 | 1 0.33 14.98 2.227628 | 1 0.33 15.31 2.228506 | 1 0.33 15.64 2.230943 | 1 0.33 15.96 2.239702 | 1 0.33 16.29 2.241027 | 1 0.33 16.61 2.242099 | 1 0.33 16.94 2.246656 | 1 0.33 17.26 2.260756 | 1 0.33 17.59 2.26879 | 1 0.33 17.92 2.273261 | 1 0.33 18.24 2.277685 | 1 0.33 18.57 2.292439 | 1 0.33 18.89 2.301669 | 1 0.33 19.22 2.3019 | 1 0.33 19.54 2.306261 | 1 0.33 19.87 2.3068 | 1 0.33 20.20 2.31587 | 1 0.33 20.52 2.327484 | 1 0.33 20.85 2.366137 | 1 0.33 21.17 2.378561 | 1 0.33 21.50 2.385936 | 1 0.33 21.82 2.398172 | 1 0.33 22.15 2.404732 | 1 0.33 22.48 2.405227 | 1 0.33 22.80 2.415951 | 1 0.33 23.13 2.459513 | 1 0.33 23.45 2.46401 | 1 0.33 23.78 2.480069 | 1 0.33 24.10 2.482734 | 1 0.33 24.43 2.491345 | 1 0.33 24.76 2.506546 | 1 0.33 25.08 2.511496 | 1 0.33 25.41 2.514642 | 1 0.33 25.73 2.516134 | 1 0.33 26.06 2.539462 | 1 0.33 26.38 2.54024 | 1 0.33 26.71 2.5409 | 1 0.33 27.04 2.549955 | 1 0.33 27.36 2.553063 | 1 0.33 27.69 2.55603 | 1 0.33 28.01 2.562421 | 1 0.33 28.34 2.566785 | 1 0.33 28.66 2.583435 | 1 0.33 28.99 2.59915 | 1 0.33 29.32 2.603765 | 1 0.33 29.64 2.606605 | 1 0.33 29.97 2.617564 | 1 0.33 30.29 2.623991 | 1 0.33 30.62 2.633416 | 1 0.33 30.94 2.654663 | 1 0.33 31.27 2.658766 | 1 0.33 31.60 2.665967 | 1 0.33 31.92 2.669893 | 1 0.33 32.25 2.672556 | 1 0.33 32.57 2.674188 | 1 0.33 32.90 2.688047 | 1 0.33 33.22 2.69308 | 1 0.33 33.55 2.694011 | 1 0.33 33.88 2.702742 | 1 0.33 34.20 2.710848 | 1 0.33 34.53 2.713632 | 1 0.33 34.85 2.716415 | 1 0.33 35.18 2.723735 | 1 0.33 35.50 2.740678 | 1 0.33 35.83 2.766743 | 1 0.33 36.16 2.768395 | 1 0.33 36.48 2.772722 | 1 0.33 36.81 2.773045 | 1 0.33 37.13 2.773248 | 1 0.33 37.46 2.775279 | 1 0.33 37.79 2.780493 | 1 0.33 38.11 2.794342 | 1 0.33 38.44 2.807299 | 1 0.33 38.76 2.809365 | 1 0.33 39.09 2.829696 | 1 0.33 39.41 2.833452 | 1 0.33 39.74 2.835823 | 1 0.33 40.07 2.845927 | 1 0.33 40.39 2.847293 | 1 0.33 40.72 2.85593 | 1 0.33 41.04 2.867614 | 1 0.33 41.37 2.871849 | 1 0.33 41.69 2.875203 | 1 0.33 42.02 2.88904 | 1 0.33 42.35 2.894258 | 1 0.33 42.67 2.895882 | 1 0.33 43.00 2.905888 | 1 0.33 43.32 2.908154 | 1 0.33 43.65 2.941336 | 1 0.33 43.97 2.941938 | 1 0.33 44.30 2.958857 | 1 0.33 44.63 2.961753 | 1 0.33 44.95 2.962022 | 1 0.33 45.28 2.972659 | 1 0.33 45.60 2.973053 | 1 0.33 45.93 2.980011 | 1 0.33 46.25 2.986362 | 1 0.33 46.58 2.993508 | 1 0.33 46.91 3.002342 | 1 0.33 47.23 3.003873 | 1 0.33 47.56 3.005561 | 1 0.33 47.88 3.009311 | 1 0.33 48.21 3.050693 | 1 0.33 48.53 3.053956 | 1 0.33 48.86 3.055559 | 1 0.33 49.19 3.072923 | 1 0.33 49.51 3.074727 | 1 0.33 49.84 3.076383 | 1 0.33 50.16 3.083499 | 1 0.33 50.49 3.08494 | 1 0.33 50.81 3.097314 | 1 0.33 51.14 3.105728 | 1 0.33 51.47 3.106784 | 1 0.33 51.79 3.111091 | 1 0.33 52.12 3.11741 | 1 0.33 52.44 3.149213 | 1 0.33 52.77 3.152143 | 1 0.33 53.09 3.174749 | 1 0.33 53.42 3.177713 | 1 0.33 53.75 3.178777 | 1 0.33 54.07 3.185458 | 1 0.33 54.40 3.187645 | 1 0.33 54.72 3.188951 | 1 0.33 55.05 3.19106 | 1 0.33 55.37 3.198539 | 1 0.33 55.70 3.201393 | 1 0.33 56.03 3.205606 | 1 0.33 56.35 3.221067 | 1 0.33 56.68 3.236722 | 1 0.33 57.00 3.239814 | 1 0.33 57.33 3.250213 | 1 0.33 57.65 3.25207 | 1 0.33 57.98 3.262181 | 1 0.33 58.31 3.268792 | 1 0.33 58.63 3.274587 | 1 0.33 58.96 3.295617 | 1 0.33 59.28 3.314621 | 1 0.33 59.61 3.318483 | 1 0.33 59.93 3.325075 | 1 0.33 60.26 3.334601 | 1 0.33 60.59 3.338948 | 1 0.33 60.91 3.341318 | 1 0.33 61.24 3.34216 | 1 0.33 61.56 3.362284 | 1 0.33 61.89 3.368899 | 1 0.33 62.21 3.376223 | 1 0.33 62.54 3.392606 | 1 0.33 62.87 3.40685 | 1 0.33 63.19 3.41092 | 1 0.33 63.52 3.415787 | 1 0.33 63.84 3.423282 | 1 0.33 64.17 3.431811 | 1 0.33 64.50 3.441263 | 1 0.33 64.82 3.451471 | 1 0.33 65.15 3.457336 | 1 0.33 65.47 3.460674 | 1 0.33 65.80 3.480775 | 1 0.33 66.12 3.48833 | 1 0.33 66.45 3.491594 | 1 0.33 66.78 3.493807 | 1 0.33 67.10 3.495201 | 1 0.33 67.43 3.507882 | 1 0.33 67.75 3.510878 | 1 0.33 68.08 3.514437 | 1 0.33 68.40 3.519287 | 1 0.33 68.73 3.544389 | 1 0.33 69.06 3.546711 | 1 0.33 69.38 3.562193 | 1 0.33 69.71 3.574641 | 1 0.33 70.03 3.610732 | 1 0.33 70.36 3.634727 | 1 0.33 70.68 3.65473 | 1 0.33 71.01 3.661987 | 1 0.33 71.34 3.670033 | 1 0.33 71.66 3.678066 | 1 0.33 71.99 3.705835 | 1 0.33 72.31 3.728203 | 1 0.33 72.64 3.737047 | 1 0.33 72.96 3.74284 | 1 0.33 73.29 3.751499 | 1 0.33 73.62 3.760129 | 1 0.33 73.94 3.767203 | 1 0.33 74.27 3.780565 | 1 0.33 74.59 3.781349 | 1 0.33 74.92 3.782646 | 1 0.33 75.24 3.790414 | 1 0.33 75.57 3.791832 | 1 0.33 75.90 3.799552 | 1 0.33 76.22 3.801354 | 1 0.33 76.55 3.822454 | 1 0.33 76.87 3.829856 | 1 0.33 77.20 3.833194 | 1 0.33 77.52 3.836685 | 1 0.33 77.85 3.840943 | 1 0.33 78.18 3.8416 | 1 0.33 78.50 3.856203 | 1 0.33 78.83 3.885089 | 1 0.33 79.15 3.887708 | 1 0.33 79.48 3.903484 | 1 0.33 79.80 3.910455 | 1 0.33 80.13 3.921813 | 1 0.33 80.46 3.928138 | 1 0.33 80.78 3.946467 | 1 0.33 81.11 3.972338 | 1 0.33 81.43 3.982701 | 1 0.33 81.76 3.988865 | 1 0.33 82.08 4.004306 | 1 0.33 82.41 4.07594 | 1 0.33 82.74 4.078658 | 1 0.33 83.06 4.091938 | 1 0.33 83.39 4.125794 | 1 0.33 83.71 4.129087 | 1 0.33 84.04 4.151975 | 1 0.33 84.36 4.185389 | 1 0.33 84.69 4.230638 | 1 0.33 85.02 4.234497 | 1 0.33 85.34 4.251399 | 1 0.33 85.67 4.255943 | 1 0.33 85.99 4.281446 | 1 0.33 86.32 4.284505 | 1 0.33 86.64 4.301425 | 1 0.33 86.97 4.354364 | 1 0.33 87.30 4.374723 | 1 0.33 87.62 4.384076 | 1 0.33 87.95 4.395244 | 1 0.33 88.27 4.406262 | 1 0.33 88.60 4.430996 | 1 0.33 88.93 4.437296 | 1 0.33 89.25 4.460074 | 1 0.33 89.58 4.491567 | 1 0.33 89.90 4.506375 | 1 0.33 90.23 4.510685 | 1 0.33 90.55 4.515708 | 1 0.33 90.88 4.524471 | 1 0.33 91.21 4.540694 | 1 0.33 91.53 4.571164 | 1 0.33 91.86 4.62449 | 1 0.33 92.18 4.71273 | 1 0.33 92.51 4.719068 | 1 0.33 92.83 4.736146 | 1 0.33 93.16 4.748116 | 1 0.33 93.49 4.818181 | 1 0.33 93.81 4.864477 | 1 0.33 94.14 4.874031 | 1 0.33 94.46 4.987401 | 1 0.33 94.79 5.039268 | 1 0.33 95.11 5.112357 | 1 0.33 95.44 5.197584 | 1 0.33 95.77 5.211596 | 1 0.33 96.09 5.220184 | 1 0.33 96.42 5.488718 | 1 0.33 96.74 5.659062 | 1 0.33 97.07 5.755464 | 1 0.33 97.39 5.769311 | 1 0.33 97.72 5.800476 | 1 0.33 98.05 5.967441 | 1 0.33 98.37 6.098456 | 1 0.33 98.70 6.266847 | 1 0.33 99.02 7.060357 | 1 0.33 99.35 7.510576 | 1 0.33 99.67 8.607857 | 1 0.33 100.00 ------------+----------------------------------- Total | 307 100.00 by Jean Roth , jroth@nber.org , 14 Mar 2018