Frequencies for backsurgeryper1000medicareenroll variable in 2004_surg_discharg Back | Surgery per | 1000 | Medicare | Enrollees | 2004 | Freq. Percent Cum. ------------+----------------------------------- 1.660298 | 1 0.33 0.33 1.699184 | 1 0.33 0.65 1.823286 | 1 0.33 0.98 1.967016 | 1 0.33 1.30 2.065816 | 1 0.33 1.63 2.067037 | 1 0.33 1.95 2.068397 | 1 0.33 2.28 2.089913 | 1 0.33 2.61 2.103374 | 1 0.33 2.93 2.128148 | 1 0.33 3.26 2.17848 | 1 0.33 3.58 2.218199 | 1 0.33 3.91 2.269526 | 1 0.33 4.23 2.271362 | 1 0.33 4.56 2.359837 | 1 0.33 4.89 2.417665 | 1 0.33 5.21 2.431191 | 1 0.33 5.54 2.439309 | 1 0.33 5.86 2.477625 | 1 0.33 6.19 2.502423 | 1 0.33 6.51 2.523746 | 1 0.33 6.84 2.531848 | 1 0.33 7.17 2.536099 | 1 0.33 7.49 2.551389 | 1 0.33 7.82 2.612954 | 1 0.33 8.14 2.64198 | 1 0.33 8.47 2.64308 | 1 0.33 8.79 2.697986 | 1 0.33 9.12 2.711764 | 1 0.33 9.45 2.720069 | 1 0.33 9.77 2.819662 | 1 0.33 10.10 2.826349 | 1 0.33 10.42 2.849342 | 1 0.33 10.75 2.864889 | 1 0.33 11.07 2.868068 | 1 0.33 11.40 2.872066 | 1 0.33 11.73 2.881779 | 1 0.33 12.05 2.893548 | 1 0.33 12.38 2.917488 | 1 0.33 12.70 2.918341 | 1 0.33 13.03 2.938107 | 1 0.33 13.36 2.938438 | 1 0.33 13.68 2.948246 | 1 0.33 14.01 2.951829 | 1 0.33 14.33 2.97065 | 1 0.33 14.66 2.999714 | 1 0.33 14.98 3.05323 | 1 0.33 15.31 3.064758 | 1 0.33 15.64 3.073196 | 1 0.33 15.96 3.076219 | 1 0.33 16.29 3.09373 | 1 0.33 16.61 3.098588 | 1 0.33 16.94 3.101592 | 1 0.33 17.26 3.112414 | 1 0.33 17.59 3.120617 | 1 0.33 17.92 3.121006 | 1 0.33 18.24 3.129706 | 1 0.33 18.57 3.132104 | 1 0.33 18.89 3.145135 | 1 0.33 19.22 3.149432 | 1 0.33 19.54 3.163068 | 1 0.33 19.87 3.174208 | 1 0.33 20.20 3.19708 | 1 0.33 20.52 3.206622 | 1 0.33 20.85 3.213486 | 1 0.33 21.17 3.220201 | 1 0.33 21.50 3.228692 | 1 0.33 21.82 3.243252 | 1 0.33 22.15 3.248617 | 1 0.33 22.48 3.254033 | 1 0.33 22.80 3.259122 | 1 0.33 23.13 3.282344 | 1 0.33 23.45 3.290565 | 1 0.33 23.78 3.291481 | 1 0.33 24.10 3.330236 | 1 0.33 24.43 3.354351 | 1 0.33 24.76 3.358149 | 1 0.33 25.08 3.369375 | 1 0.33 25.41 3.376692 | 1 0.33 25.73 3.404289 | 1 0.33 26.06 3.408947 | 1 0.33 26.38 3.411761 | 1 0.33 26.71 3.427149 | 1 0.33 27.04 3.427212 | 1 0.33 27.36 3.440594 | 1 0.33 27.69 3.459814 | 1 0.33 28.01 3.489429 | 1 0.33 28.34 3.510124 | 1 0.33 28.66 3.53643 | 1 0.33 28.99 3.579782 | 1 0.33 29.32 3.606813 | 1 0.33 29.64 3.623714 | 1 0.33 29.97 3.633867 | 1 0.33 30.29 3.64272 | 1 0.33 30.62 3.650627 | 1 0.33 30.94 3.689872 | 1 0.33 31.27 3.69749 | 1 0.33 31.60 3.710118 | 1 0.33 31.92 3.723236 | 1 0.33 32.25 3.73762 | 1 0.33 32.57 3.74918 | 1 0.33 32.90 3.794061 | 1 0.33 33.22 3.797004 | 1 0.33 33.55 3.819875 | 1 0.33 33.88 3.829899 | 1 0.33 34.20 3.839988 | 1 0.33 34.53 3.840732 | 1 0.33 34.85 3.844742 | 1 0.33 35.18 3.868742 | 1 0.33 35.50 3.872098 | 1 0.33 35.83 3.904876 | 1 0.33 36.16 3.905383 | 1 0.33 36.48 3.909874 | 1 0.33 36.81 3.914778 | 1 0.33 37.13 3.942608 | 1 0.33 37.46 3.950838 | 1 0.33 37.79 3.969983 | 1 0.33 38.11 3.971185 | 1 0.33 38.44 3.990802 | 1 0.33 38.76 3.991997 | 1 0.33 39.09 3.993236 | 1 0.33 39.41 4.00475 | 1 0.33 39.74 4.010765 | 1 0.33 40.07 4.017769 | 1 0.33 40.39 4.020622 | 1 0.33 40.72 4.051334 | 1 0.33 41.04 4.076442 | 1 0.33 41.37 4.081134 | 1 0.33 41.69 4.088809 | 1 0.33 42.02 4.095055 | 1 0.33 42.35 4.0952 | 1 0.33 42.67 4.09624 | 1 0.33 43.00 4.100343 | 1 0.33 43.32 4.103195 | 1 0.33 43.65 4.117471 | 1 0.33 43.97 4.125398 | 1 0.33 44.30 4.129433 | 1 0.33 44.63 4.138632 | 1 0.33 44.95 4.157481 | 1 0.33 45.28 4.17385 | 1 0.33 45.60 4.187844 | 1 0.33 45.93 4.201182 | 1 0.33 46.25 4.20911 | 1 0.33 46.58 4.213414 | 1 0.33 46.91 4.223171 | 1 0.33 47.23 4.240776 | 1 0.33 47.56 4.250696 | 1 0.33 47.88 4.27245 | 1 0.33 48.21 4.313107 | 1 0.33 48.53 4.334419 | 1 0.33 48.86 4.338867 | 1 0.33 49.19 4.344164 | 1 0.33 49.51 4.3782 | 1 0.33 49.84 4.397908 | 1 0.33 50.16 4.418561 | 1 0.33 50.49 4.422805 | 1 0.33 50.81 4.428537 | 1 0.33 51.14 4.437263 | 1 0.33 51.47 4.440106 | 1 0.33 51.79 4.440332 | 1 0.33 52.12 4.455438 | 1 0.33 52.44 4.462071 | 1 0.33 52.77 4.467955 | 1 0.33 53.09 4.479942 | 1 0.33 53.42 4.497583 | 1 0.33 53.75 4.499748 | 1 0.33 54.07 4.505002 | 1 0.33 54.40 4.511322 | 1 0.33 54.72 4.521739 | 1 0.33 55.05 4.522058 | 1 0.33 55.37 4.523498 | 1 0.33 55.70 4.527009 | 1 0.33 56.03 4.533277 | 1 0.33 56.35 4.563214 | 1 0.33 56.68 4.563392 | 1 0.33 57.00 4.564131 | 1 0.33 57.33 4.571307 | 1 0.33 57.65 4.573766 | 1 0.33 57.98 4.585592 | 1 0.33 58.31 4.59612 | 1 0.33 58.63 4.598137 | 1 0.33 58.96 4.625045 | 1 0.33 59.28 4.629872 | 1 0.33 59.61 4.656621 | 1 0.33 59.93 4.669228 | 1 0.33 60.26 4.681721 | 1 0.33 60.59 4.702232 | 1 0.33 60.91 4.707784 | 1 0.33 61.24 4.739476 | 1 0.33 61.56 4.749663 | 1 0.33 61.89 4.753533 | 1 0.33 62.21 4.764503 | 1 0.33 62.54 4.772099 | 1 0.33 62.87 4.804583 | 1 0.33 63.19 4.815776 | 1 0.33 63.52 4.831699 | 1 0.33 63.84 4.848479 | 1 0.33 64.17 4.895179 | 1 0.33 64.50 4.911061 | 1 0.33 64.82 4.914576 | 1 0.33 65.15 4.920835 | 1 0.33 65.47 4.925397 | 1 0.33 65.80 4.946371 | 1 0.33 66.12 4.946685 | 1 0.33 66.45 4.947254 | 1 0.33 66.78 4.953681 | 1 0.33 67.10 4.967242 | 1 0.33 67.43 4.989594 | 1 0.33 67.75 5.021206 | 1 0.33 68.08 5.034875 | 1 0.33 68.40 5.037038 | 1 0.33 68.73 5.039389 | 1 0.33 69.06 5.070777 | 1 0.33 69.38 5.114245 | 1 0.33 69.71 5.118396 | 1 0.33 70.03 5.145026 | 1 0.33 70.36 5.161164 | 1 0.33 70.68 5.178404 | 1 0.33 71.01 5.19568 | 1 0.33 71.34 5.196609 | 1 0.33 71.66 5.217684 | 1 0.33 71.99 5.223503 | 1 0.33 72.31 5.238277 | 1 0.33 72.64 5.239311 | 1 0.33 72.96 5.250062 | 1 0.33 73.29 5.253208 | 1 0.33 73.62 5.263022 | 1 0.33 73.94 5.26357 | 1 0.33 74.27 5.384823 | 1 0.33 74.59 5.40635 | 1 0.33 74.92 5.442329 | 1 0.33 75.24 5.450435 | 1 0.33 75.57 5.46469 | 1 0.33 75.90 5.466167 | 1 0.33 76.22 5.485 | 1 0.33 76.55 5.520881 | 1 0.33 76.87 5.557729 | 1 0.33 77.20 5.596843 | 1 0.33 77.52 5.602086 | 1 0.33 77.85 5.671028 | 1 0.33 78.18 5.6965 | 1 0.33 78.50 5.698567 | 1 0.33 78.83 5.717046 | 1 0.33 79.15 5.719988 | 1 0.33 79.48 5.733252 | 1 0.33 79.80 5.740722 | 1 0.33 80.13 5.759773 | 1 0.33 80.46 5.759796 | 1 0.33 80.78 5.794071 | 1 0.33 81.11 5.8159 | 1 0.33 81.43 5.854694 | 1 0.33 81.76 5.867821 | 1 0.33 82.08 5.881406 | 1 0.33 82.41 5.897834 | 1 0.33 82.74 5.898186 | 1 0.33 83.06 5.899436 | 1 0.33 83.39 5.906787 | 1 0.33 83.71 5.907583 | 1 0.33 84.04 5.908294 | 1 0.33 84.36 5.998159 | 1 0.33 84.69 6.022514 | 1 0.33 85.02 6.02709 | 1 0.33 85.34 6.076338 | 1 0.33 85.67 6.079744 | 1 0.33 85.99 6.110753 | 1 0.33 86.32 6.14356 | 1 0.33 86.64 6.154197 | 1 0.33 86.97 6.182673 | 1 0.33 87.30 6.234258 | 1 0.33 87.62 6.29468 | 1 0.33 87.95 6.31137 | 1 0.33 88.27 6.338934 | 1 0.33 88.60 6.389781 | 1 0.33 88.93 6.447211 | 1 0.33 89.25 6.464169 | 1 0.33 89.58 6.507724 | 1 0.33 89.90 6.507926 | 1 0.33 90.23 6.523465 | 1 0.33 90.55 6.531801 | 1 0.33 90.88 6.586072 | 1 0.33 91.21 6.630784 | 1 0.33 91.53 6.632745 | 1 0.33 91.86 6.727935 | 1 0.33 92.18 6.73276 | 1 0.33 92.51 6.76954 | 1 0.33 92.83 6.774181 | 1 0.33 93.16 6.79575 | 1 0.33 93.49 6.950059 | 1 0.33 93.81 7.040583 | 1 0.33 94.14 7.063399 | 1 0.33 94.46 7.06602 | 1 0.33 94.79 7.148683 | 1 0.33 95.11 7.208257 | 1 0.33 95.44 7.320891 | 1 0.33 95.77 7.34056 | 1 0.33 96.09 7.512437 | 1 0.33 96.42 7.522007 | 1 0.33 96.74 7.562414 | 1 0.33 97.07 7.775988 | 1 0.33 97.39 7.797946 | 1 0.33 97.72 8.22678 | 1 0.33 98.05 8.399334 | 1 0.33 98.37 8.421742 | 1 0.33 98.70 8.608603 | 1 0.33 99.02 9.196744 | 1 0.33 99.35 9.22105 | 1 0.33 99.67 10.34793 | 1 0.33 100.00 ------------+----------------------------------- Total | 307 100.00 by Jean Roth , jroth@nber.org , 14 Mar 2018