Frequencies for backsurgeryper1000medicareenroll variable in 1996_surg_discharg Back | Surgery per | 1000 | Medicare | Enrollees | 1996 | Freq. Percent Cum. ------------+----------------------------------- 1.081512 | 1 0.33 0.33 1.11589 | 1 0.33 0.65 1.165841 | 1 0.33 0.98 1.238249 | 1 0.33 1.30 1.252942 | 1 0.33 1.63 1.342571 | 1 0.33 1.95 1.385239 | 1 0.33 2.28 1.455429 | 1 0.33 2.61 1.480754 | 1 0.33 2.93 1.520613 | 1 0.33 3.26 1.580149 | 1 0.33 3.58 1.595185 | 1 0.33 3.91 1.618446 | 1 0.33 4.23 1.630476 | 1 0.33 4.56 1.643501 | 1 0.33 4.89 1.684632 | 1 0.33 5.21 1.694148 | 1 0.33 5.54 1.700329 | 1 0.33 5.86 1.718117 | 1 0.33 6.19 1.722295 | 1 0.33 6.51 1.762331 | 1 0.33 6.84 1.778668 | 1 0.33 7.17 1.790199 | 1 0.33 7.49 1.80149 | 1 0.33 7.82 1.813089 | 1 0.33 8.14 1.851867 | 1 0.33 8.47 1.852592 | 1 0.33 8.79 1.866296 | 1 0.33 9.12 1.8835 | 1 0.33 9.45 1.900306 | 1 0.33 9.77 1.912328 | 1 0.33 10.10 1.926372 | 1 0.33 10.42 1.93925 | 1 0.33 10.75 1.941013 | 1 0.33 11.07 1.964911 | 1 0.33 11.40 1.981083 | 1 0.33 11.73 1.988627 | 1 0.33 12.05 1.998276 | 1 0.33 12.38 2.000002 | 1 0.33 12.70 2.00386 | 1 0.33 13.03 2.011043 | 1 0.33 13.36 2.031258 | 1 0.33 13.68 2.033214 | 1 0.33 14.01 2.034197 | 1 0.33 14.33 2.052926 | 1 0.33 14.66 2.080918 | 1 0.33 14.98 2.089663 | 1 0.33 15.31 2.089809 | 1 0.33 15.64 2.100677 | 1 0.33 15.96 2.100696 | 1 0.33 16.29 2.132416 | 1 0.33 16.61 2.133829 | 1 0.33 16.94 2.138191 | 1 0.33 17.26 2.160761 | 1 0.33 17.59 2.167546 | 1 0.33 17.92 2.187196 | 1 0.33 18.24 2.209628 | 1 0.33 18.57 2.215835 | 1 0.33 18.89 2.22266 | 1 0.33 19.22 2.23213 | 1 0.33 19.54 2.232929 | 1 0.33 19.87 2.238944 | 1 0.33 20.20 2.255038 | 1 0.33 20.52 2.256566 | 1 0.33 20.85 2.26238 | 1 0.33 21.17 2.262743 | 1 0.33 21.50 2.26844 | 1 0.33 21.82 2.27607 | 1 0.33 22.15 2.276308 | 1 0.33 22.48 2.277759 | 1 0.33 22.80 2.280982 | 1 0.33 23.13 2.291708 | 1 0.33 23.45 2.299357 | 1 0.33 23.78 2.303691 | 1 0.33 24.10 2.310545 | 1 0.33 24.43 2.311344 | 1 0.33 24.76 2.333106 | 1 0.33 25.08 2.379716 | 1 0.33 25.41 2.391804 | 1 0.33 25.73 2.394129 | 1 0.33 26.06 2.398687 | 1 0.33 26.38 2.402395 | 1 0.33 26.71 2.41751 | 1 0.33 27.04 2.418679 | 1 0.33 27.36 2.439573 | 1 0.33 27.69 2.450474 | 1 0.33 28.01 2.450747 | 1 0.33 28.34 2.451009 | 1 0.33 28.66 2.455835 | 1 0.33 28.99 2.466068 | 1 0.33 29.32 2.470097 | 1 0.33 29.64 2.480122 | 1 0.33 29.97 2.482886 | 1 0.33 30.29 2.486383 | 1 0.33 30.62 2.49251 | 1 0.33 30.94 2.499338 | 1 0.33 31.27 2.520081 | 1 0.33 31.60 2.521646 | 1 0.33 31.92 2.523175 | 1 0.33 32.25 2.534688 | 1 0.33 32.57 2.539145 | 1 0.33 32.90 2.544837 | 1 0.33 33.22 2.558992 | 1 0.33 33.55 2.561942 | 1 0.33 33.88 2.564965 | 1 0.33 34.20 2.602316 | 1 0.33 34.53 2.612987 | 1 0.33 34.85 2.613518 | 1 0.33 35.18 2.615999 | 1 0.33 35.50 2.618594 | 1 0.33 35.83 2.618886 | 1 0.33 36.16 2.621793 | 1 0.33 36.48 2.627603 | 1 0.33 36.81 2.628318 | 1 0.33 37.13 2.629758 | 1 0.33 37.46 2.632418 | 1 0.33 37.79 2.635643 | 1 0.33 38.11 2.653456 | 1 0.33 38.44 2.658892 | 1 0.33 38.76 2.663465 | 1 0.33 39.09 2.664891 | 1 0.33 39.41 2.666723 | 1 0.33 39.74 2.676866 | 1 0.33 40.07 2.693527 | 1 0.33 40.39 2.70162 | 1 0.33 40.72 2.703413 | 1 0.33 41.04 2.719011 | 1 0.33 41.37 2.732253 | 1 0.33 41.69 2.734407 | 1 0.33 42.02 2.735435 | 1 0.33 42.35 2.738667 | 1 0.33 42.67 2.755977 | 1 0.33 43.00 2.761028 | 1 0.33 43.32 2.770524 | 1 0.33 43.65 2.772543 | 1 0.33 43.97 2.774044 | 1 0.33 44.30 2.7868 | 1 0.33 44.63 2.797996 | 1 0.33 44.95 2.801872 | 1 0.33 45.28 2.803326 | 1 0.33 45.60 2.803331 | 1 0.33 45.93 2.805259 | 1 0.33 46.25 2.809806 | 1 0.33 46.58 2.815292 | 1 0.33 46.91 2.818409 | 1 0.33 47.23 2.834641 | 1 0.33 47.56 2.837264 | 1 0.33 47.88 2.848834 | 1 0.33 48.21 2.851878 | 1 0.33 48.53 2.867535 | 1 0.33 48.86 2.87308 | 1 0.33 49.19 2.885426 | 1 0.33 49.51 2.890924 | 1 0.33 49.84 2.906565 | 1 0.33 50.16 2.910689 | 1 0.33 50.49 2.942469 | 1 0.33 50.81 2.943158 | 1 0.33 51.14 2.944997 | 1 0.33 51.47 2.945592 | 1 0.33 51.79 2.945727 | 1 0.33 52.12 2.951565 | 1 0.33 52.44 2.953699 | 1 0.33 52.77 2.953701 | 1 0.33 53.09 2.95639 | 1 0.33 53.42 2.957523 | 1 0.33 53.75 2.959147 | 1 0.33 54.07 2.964019 | 1 0.33 54.40 2.973367 | 1 0.33 54.72 2.977232 | 1 0.33 55.05 3.00018 | 1 0.33 55.37 3.000573 | 1 0.33 55.70 3.002125 | 1 0.33 56.03 3.019343 | 1 0.33 56.35 3.023614 | 1 0.33 56.68 3.028605 | 1 0.33 57.00 3.031102 | 1 0.33 57.33 3.035034 | 1 0.33 57.65 3.041188 | 1 0.33 57.98 3.042719 | 1 0.33 58.31 3.049042 | 1 0.33 58.63 3.057903 | 1 0.33 58.96 3.065374 | 1 0.33 59.28 3.077539 | 1 0.33 59.61 3.087588 | 1 0.33 59.93 3.091318 | 1 0.33 60.26 3.091461 | 1 0.33 60.59 3.09151 | 1 0.33 60.91 3.118102 | 1 0.33 61.24 3.136241 | 1 0.33 61.56 3.141837 | 1 0.33 61.89 3.142912 | 1 0.33 62.21 3.14785 | 1 0.33 62.54 3.153254 | 1 0.33 62.87 3.153352 | 1 0.33 63.19 3.162771 | 1 0.33 63.52 3.163625 | 1 0.33 63.84 3.165831 | 1 0.33 64.17 3.167266 | 1 0.33 64.50 3.170991 | 1 0.33 64.82 3.182067 | 1 0.33 65.15 3.194214 | 1 0.33 65.47 3.209766 | 1 0.33 65.80 3.218168 | 1 0.33 66.12 3.222889 | 1 0.33 66.45 3.231067 | 1 0.33 66.78 3.249802 | 1 0.33 67.10 3.254398 | 1 0.33 67.43 3.254615 | 1 0.33 67.75 3.269551 | 1 0.33 68.08 3.274739 | 1 0.33 68.40 3.279849 | 1 0.33 68.73 3.282485 | 1 0.33 69.06 3.284434 | 1 0.33 69.38 3.294894 | 1 0.33 69.71 3.295467 | 1 0.33 70.03 3.310968 | 1 0.33 70.36 3.342932 | 1 0.33 70.68 3.360298 | 1 0.33 71.01 3.366275 | 1 0.33 71.34 3.367923 | 1 0.33 71.66 3.369688 | 1 0.33 71.99 3.370543 | 1 0.33 72.31 3.381794 | 1 0.33 72.64 3.382207 | 1 0.33 72.96 3.396903 | 1 0.33 73.29 3.401214 | 1 0.33 73.62 3.414124 | 1 0.33 73.94 3.41506 | 1 0.33 74.27 3.416197 | 1 0.33 74.59 3.429008 | 1 0.33 74.92 3.467172 | 1 0.33 75.24 3.48998 | 1 0.33 75.57 3.494122 | 1 0.33 75.90 3.516335 | 1 0.33 76.22 3.544584 | 1 0.33 76.55 3.545593 | 1 0.33 76.87 3.565583 | 1 0.33 77.20 3.568524 | 1 0.33 77.52 3.58177 | 1 0.33 77.85 3.592558 | 1 0.33 78.18 3.617089 | 1 0.33 78.50 3.622258 | 1 0.33 78.83 3.634311 | 1 0.33 79.15 3.668807 | 1 0.33 79.48 3.684883 | 1 0.33 79.80 3.687036 | 1 0.33 80.13 3.708123 | 1 0.33 80.46 3.708645 | 1 0.33 80.78 3.710883 | 1 0.33 81.11 3.714305 | 1 0.33 81.43 3.717107 | 1 0.33 81.76 3.754577 | 1 0.33 82.08 3.761613 | 1 0.33 82.41 3.772253 | 1 0.33 82.74 3.787909 | 1 0.33 83.06 3.812568 | 1 0.33 83.39 3.8179 | 1 0.33 83.71 3.821015 | 1 0.33 84.04 3.836125 | 1 0.33 84.36 3.861396 | 1 0.33 84.69 3.865372 | 1 0.33 85.02 3.880589 | 1 0.33 85.34 3.890635 | 1 0.33 85.67 3.938208 | 1 0.33 85.99 3.948488 | 1 0.33 86.32 3.989762 | 1 0.33 86.64 3.993943 | 1 0.33 86.97 4.079644 | 1 0.33 87.30 4.080756 | 1 0.33 87.62 4.091952 | 1 0.33 87.95 4.095916 | 1 0.33 88.27 4.097161 | 1 0.33 88.60 4.099168 | 1 0.33 88.93 4.156373 | 1 0.33 89.25 4.218976 | 1 0.33 89.58 4.231064 | 1 0.33 89.90 4.28124 | 1 0.33 90.23 4.298549 | 1 0.33 90.55 4.300847 | 1 0.33 90.88 4.328059 | 1 0.33 91.21 4.386099 | 1 0.33 91.53 4.389291 | 1 0.33 91.86 4.401847 | 1 0.33 92.18 4.41938 | 1 0.33 92.51 4.456632 | 1 0.33 92.83 4.46162 | 1 0.33 93.16 4.47751 | 1 0.33 93.49 4.50926 | 1 0.33 93.81 4.528614 | 1 0.33 94.14 4.669986 | 1 0.33 94.46 4.674213 | 1 0.33 94.79 4.916364 | 1 0.33 95.11 5.055344 | 1 0.33 95.44 5.060524 | 1 0.33 95.77 5.131101 | 1 0.33 96.09 5.143363 | 1 0.33 96.42 5.180501 | 1 0.33 96.74 5.438467 | 1 0.33 97.07 5.467346 | 1 0.33 97.39 5.542572 | 1 0.33 97.72 5.702982 | 1 0.33 98.05 6.017751 | 1 0.33 98.37 6.272066 | 1 0.33 98.70 6.361871 | 1 0.33 99.02 6.44557 | 1 0.33 99.35 6.649481 | 1 0.33 99.67 6.652228 | 1 0.33 100.00 ------------+----------------------------------- Total | 307 100.00 by Jean Roth , jroth@nber.org , 14 Mar 2018