Frequencies for backsurgeryper1000medicareenroll variable in 2002_surg_discharg Back | Surgery per | 1000 | Medicare | Enrollees | 2002 | Freq. Percent Cum. ------------+----------------------------------- 1.371534 | 1 0.33 0.33 1.538705 | 1 0.33 0.65 1.633737 | 1 0.33 0.98 1.725758 | 1 0.33 1.30 1.755276 | 1 0.33 1.63 1.768085 | 1 0.33 1.95 1.808082 | 1 0.33 2.28 1.881832 | 1 0.33 2.61 1.961251 | 1 0.33 2.93 2.035074 | 1 0.33 3.26 2.069362 | 1 0.33 3.58 2.090454 | 1 0.33 3.91 2.16904 | 1 0.33 4.23 2.227956 | 1 0.33 4.56 2.240828 | 1 0.33 4.89 2.248062 | 1 0.33 5.21 2.324569 | 1 0.33 5.54 2.341244 | 1 0.33 5.86 2.345136 | 1 0.33 6.19 2.366304 | 1 0.33 6.51 2.379852 | 1 0.33 6.84 2.388713 | 1 0.33 7.17 2.455911 | 1 0.33 7.49 2.458242 | 1 0.33 7.82 2.51445 | 1 0.33 8.14 2.529054 | 1 0.33 8.47 2.534706 | 1 0.33 8.79 2.540435 | 1 0.33 9.12 2.543476 | 1 0.33 9.45 2.561399 | 1 0.33 9.77 2.572191 | 1 0.33 10.10 2.591532 | 1 0.33 10.42 2.600676 | 1 0.33 10.75 2.603136 | 1 0.33 11.07 2.607977 | 1 0.33 11.40 2.610844 | 1 0.33 11.73 2.615368 | 1 0.33 12.05 2.671477 | 1 0.33 12.38 2.676571 | 1 0.33 12.70 2.715074 | 1 0.33 13.03 2.727901 | 1 0.33 13.36 2.768651 | 1 0.33 13.68 2.841501 | 1 0.33 14.01 2.863629 | 1 0.33 14.33 2.872541 | 1 0.33 14.66 2.879931 | 1 0.33 14.98 2.879988 | 1 0.33 15.31 2.895106 | 1 0.33 15.64 2.932401 | 1 0.33 15.96 2.95224 | 1 0.33 16.29 2.968445 | 1 0.33 16.61 2.978284 | 1 0.33 16.94 2.981079 | 1 0.33 17.26 2.988988 | 1 0.33 17.59 2.989986 | 1 0.33 17.92 3.001569 | 1 0.33 18.24 3.016364 | 1 0.33 18.57 3.024355 | 1 0.33 18.89 3.043515 | 1 0.33 19.22 3.065335 | 1 0.33 19.54 3.074784 | 1 0.33 19.87 3.074977 | 1 0.33 20.20 3.11468 | 1 0.33 20.52 3.133416 | 1 0.33 20.85 3.145766 | 1 0.33 21.17 3.168064 | 1 0.33 21.50 3.176307 | 1 0.33 21.82 3.185395 | 1 0.33 22.15 3.190687 | 1 0.33 22.48 3.193021 | 1 0.33 22.80 3.201755 | 1 0.33 23.13 3.203988 | 1 0.33 23.45 3.20904 | 1 0.33 23.78 3.227822 | 1 0.33 24.10 3.242344 | 1 0.33 24.43 3.263305 | 1 0.33 24.76 3.269902 | 1 0.33 25.08 3.276813 | 1 0.33 25.41 3.284714 | 1 0.33 25.73 3.288079 | 1 0.33 26.06 3.320358 | 1 0.33 26.38 3.351186 | 1 0.33 26.71 3.361853 | 1 0.33 27.04 3.361946 | 1 0.33 27.36 3.385498 | 1 0.33 27.69 3.392215 | 1 0.33 28.01 3.395544 | 1 0.33 28.34 3.401153 | 1 0.33 28.66 3.412886 | 1 0.33 28.99 3.417513 | 1 0.33 29.32 3.423092 | 1 0.33 29.64 3.461637 | 1 0.33 29.97 3.466981 | 1 0.33 30.29 3.467352 | 1 0.33 30.62 3.484654 | 1 0.33 30.94 3.495357 | 1 0.33 31.27 3.511317 | 1 0.33 31.60 3.517262 | 1 0.33 31.92 3.51959 | 1 0.33 32.25 3.52154 | 1 0.33 32.57 3.525251 | 1 0.33 32.90 3.537837 | 1 0.33 33.22 3.547196 | 1 0.33 33.55 3.564311 | 1 0.33 33.88 3.567699 | 1 0.33 34.20 3.581029 | 1 0.33 34.53 3.597621 | 1 0.33 34.85 3.605226 | 1 0.33 35.18 3.61543 | 1 0.33 35.50 3.622291 | 1 0.33 35.83 3.63405 | 1 0.33 36.16 3.640975 | 1 0.33 36.48 3.647492 | 1 0.33 36.81 3.661307 | 1 0.33 37.13 3.679311 | 1 0.33 37.46 3.682864 | 1 0.33 37.79 3.701432 | 1 0.33 38.11 3.702901 | 1 0.33 38.44 3.706333 | 1 0.33 38.76 3.707868 | 1 0.33 39.09 3.71678 | 1 0.33 39.41 3.729978 | 1 0.33 39.74 3.749263 | 1 0.33 40.07 3.758357 | 1 0.33 40.39 3.766748 | 1 0.33 40.72 3.770196 | 1 0.33 41.04 3.776973 | 1 0.33 41.37 3.779699 | 1 0.33 41.69 3.789207 | 1 0.33 42.02 3.805228 | 1 0.33 42.35 3.822841 | 1 0.33 42.67 3.837147 | 1 0.33 43.00 3.840071 | 1 0.33 43.32 3.848458 | 1 0.33 43.65 3.858648 | 1 0.33 43.97 3.861758 | 1 0.33 44.30 3.863328 | 1 0.33 44.63 3.866596 | 1 0.33 44.95 3.871908 | 1 0.33 45.28 3.878907 | 1 0.33 45.60 3.892672 | 1 0.33 45.93 3.910277 | 1 0.33 46.25 3.911032 | 1 0.33 46.58 3.916553 | 1 0.33 46.91 3.922801 | 1 0.33 47.23 3.948019 | 1 0.33 47.56 3.954419 | 1 0.33 47.88 3.9712 | 1 0.33 48.21 3.974634 | 1 0.33 48.53 3.977543 | 1 0.33 48.86 3.99144 | 1 0.33 49.19 3.991623 | 1 0.33 49.51 4.00141 | 1 0.33 49.84 4.002307 | 1 0.33 50.16 4.007923 | 1 0.33 50.49 4.0146 | 1 0.33 50.81 4.026703 | 1 0.33 51.14 4.031869 | 1 0.33 51.47 4.06412 | 1 0.33 51.79 4.07122 | 1 0.33 52.12 4.079676 | 1 0.33 52.44 4.103863 | 1 0.33 52.77 4.129887 | 1 0.33 53.09 4.139132 | 1 0.33 53.42 4.139991 | 1 0.33 53.75 4.152168 | 1 0.33 54.07 4.153372 | 1 0.33 54.40 4.161613 | 1 0.33 54.72 4.166229 | 1 0.33 55.05 4.1746 | 1 0.33 55.37 4.177899 | 1 0.33 55.70 4.183018 | 1 0.33 56.03 4.194474 | 1 0.33 56.35 4.209703 | 1 0.33 56.68 4.210281 | 1 0.33 57.00 4.226641 | 1 0.33 57.33 4.230961 | 1 0.33 57.65 4.285292 | 1 0.33 57.98 4.306788 | 1 0.33 58.31 4.311856 | 1 0.33 58.63 4.320409 | 1 0.33 58.96 4.334156 | 1 0.33 59.28 4.340352 | 1 0.33 59.61 4.348242 | 1 0.33 59.93 4.359148 | 1 0.33 60.26 4.372297 | 1 0.33 60.59 4.372859 | 1 0.33 60.91 4.375548 | 1 0.33 61.24 4.383939 | 1 0.33 61.56 4.394414 | 1 0.33 61.89 4.415897 | 1 0.33 62.21 4.418072 | 1 0.33 62.54 4.419786 | 1 0.33 62.87 4.426154 | 1 0.33 63.19 4.451546 | 1 0.33 63.52 4.458392 | 1 0.33 63.84 4.46642 | 1 0.33 64.17 4.467866 | 1 0.33 64.50 4.472131 | 1 0.33 64.82 4.484124 | 1 0.33 65.15 4.519688 | 1 0.33 65.47 4.520581 | 1 0.33 65.80 4.523982 | 1 0.33 66.12 4.578496 | 1 0.33 66.45 4.598927 | 1 0.33 66.78 4.611073 | 1 0.33 67.10 4.630599 | 1 0.33 67.43 4.64506 | 1 0.33 67.75 4.658426 | 1 0.33 68.08 4.679843 | 1 0.33 68.40 4.682465 | 1 0.33 68.73 4.701347 | 1 0.33 69.06 4.707317 | 1 0.33 69.38 4.722679 | 1 0.33 69.71 4.746521 | 1 0.33 70.03 4.781133 | 1 0.33 70.36 4.781363 | 1 0.33 70.68 4.781726 | 1 0.33 71.01 4.801736 | 1 0.33 71.34 4.804052 | 1 0.33 71.66 4.804676 | 1 0.33 71.99 4.809802 | 1 0.33 72.31 4.817432 | 1 0.33 72.64 4.842519 | 1 0.33 72.96 4.843618 | 1 0.33 73.29 4.888799 | 1 0.33 73.62 4.899078 | 1 0.33 73.94 4.909918 | 1 0.33 74.27 4.925272 | 1 0.33 74.59 4.955766 | 1 0.33 74.92 4.979668 | 1 0.33 75.24 4.995388 | 1 0.33 75.57 5.000287 | 1 0.33 75.90 5.024326 | 1 0.33 76.22 5.034002 | 1 0.33 76.55 5.037736 | 1 0.33 76.87 5.044793 | 1 0.33 77.20 5.050113 | 1 0.33 77.52 5.060109 | 1 0.33 77.85 5.060186 | 1 0.33 78.18 5.080912 | 1 0.33 78.50 5.180898 | 1 0.33 78.83 5.190469 | 1 0.33 79.15 5.196072 | 1 0.33 79.48 5.20567 | 1 0.33 79.80 5.212349 | 1 0.33 80.13 5.276166 | 1 0.33 80.46 5.289942 | 1 0.33 80.78 5.296777 | 1 0.33 81.11 5.298272 | 1 0.33 81.43 5.353546 | 1 0.33 81.76 5.37242 | 1 0.33 82.08 5.375079 | 1 0.33 82.41 5.381482 | 1 0.33 82.74 5.389674 | 1 0.33 83.06 5.393362 | 1 0.33 83.39 5.396132 | 1 0.33 83.71 5.405414 | 1 0.33 84.04 5.423094 | 1 0.33 84.36 5.474771 | 1 0.33 84.69 5.490996 | 1 0.33 85.02 5.505888 | 1 0.33 85.34 5.558078 | 1 0.33 85.67 5.564957 | 1 0.33 85.99 5.577096 | 1 0.33 86.32 5.640661 | 1 0.33 86.64 5.641793 | 1 0.33 86.97 5.642321 | 1 0.33 87.30 5.649443 | 1 0.33 87.62 5.660573 | 1 0.33 87.95 5.681378 | 1 0.33 88.27 5.715003 | 1 0.33 88.60 5.724284 | 1 0.33 88.93 5.75266 | 1 0.33 89.25 5.782092 | 1 0.33 89.58 5.837643 | 1 0.33 89.90 5.842901 | 1 0.33 90.23 5.869108 | 1 0.33 90.55 5.941426 | 1 0.33 90.88 6.056212 | 1 0.33 91.21 6.132083 | 1 0.33 91.53 6.230974 | 1 0.33 91.86 6.317838 | 1 0.33 92.18 6.361534 | 1 0.33 92.51 6.373249 | 1 0.33 92.83 6.451227 | 1 0.33 93.16 6.536791 | 1 0.33 93.49 6.64994 | 1 0.33 93.81 6.70764 | 1 0.33 94.14 6.778545 | 1 0.33 94.46 6.786383 | 1 0.33 94.79 6.795552 | 1 0.33 95.11 6.843866 | 1 0.33 95.44 6.889648 | 1 0.33 95.77 6.96512 | 1 0.33 96.09 7.241433 | 1 0.33 96.42 7.291061 | 1 0.33 96.74 7.349721 | 1 0.33 97.07 7.755373 | 1 0.33 97.39 7.779606 | 1 0.33 97.72 7.826617 | 1 0.33 98.05 7.906273 | 1 0.33 98.37 8.343646 | 1 0.33 98.70 8.605817 | 1 0.33 99.02 8.635362 | 1 0.33 99.35 9.002533 | 1 0.33 99.67 9.376751 | 1 0.33 100.00 ------------+----------------------------------- Total | 307 100.00 by Jean Roth , jroth@nber.org , 14 Mar 2018