這是期中考試的進一步分析。除了整體成績的summary外,以 GGplot2 強大的圖形功能來比較大二(2)以及大三以上同學(3+) 期中考成績。
Data Input
exam <- read.delim("~/akno/andy/work/edu/18/i2p/midscore.txt");
colnames(exam)<-c("sid","mid");
attach(exam)
year<-(sid > 410600000)*1
exam$year<- factor(year, levels=c(1,0), labels=c("2", "3+"))
summary(mid); summary(exam$year)
Min. 1st Qu. Median Mean 3rd Qu. Max.
0.00 25.00 40.00 41.91 58.00 101.00
2 3+
37 53
sd(mid)
[1] 23.24836
stem(mid)
The decimal point is 1 digit(s) to the right of the |
0 | 00555550003355578
2 | 0003355589000233333555555
4 | 000002355780000355555578889
6 | 0225588000000359
8 | 0050
10 | 1
Normality check (plain way)
par(mfrow=c(2,2)); # Setup the graphical device
# I use "mid" as the variable, you can try the command on "final"
hist(mid); boxplot(mid); qqnorm(mid);
plot(density(mid));
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAADAFBMVEUAAAABAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoLCwsMDAwNDQ0ODg4PDw8QEBARERESEhITExMUFBQVFRUWFhYXFxcYGBgZGRkaGhobGxscHBwdHR0eHh4fHx8gICAhISEiIiIjIyMkJCQlJSUmJiYnJycoKCgpKSkqKiorKyssLCwtLS0uLi4vLy8wMDAxMTEyMjIzMzM0NDQ1NTU2NjY3Nzc4ODg5OTk6Ojo7Ozs8PDw9PT0+Pj4/Pz9AQEBBQUFCQkJDQ0NERERFRUVGRkZHR0dISEhJSUlKSkpLS0tMTExNTU1OTk5PT09QUFBRUVFSUlJTU1NUVFRVVVVWVlZXV1dYWFhZWVlaWlpbW1tcXFxdXV1eXl5fX19gYGBhYWFiYmJjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFycnJzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp7e3t8fHx9fX1+fn5/f3+AgICBgYGCgoKDg4OEhISFhYWGhoaHh4eIiIiJiYmKioqLi4uMjIyNjY2Ojo6Pj4+QkJCRkZGSkpKTk5OUlJSVlZWWlpaXl5eYmJiZmZmampqbm5ucnJydnZ2enp6fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKipqamqqqqrq6usrKytra2urq6vr6+wsLCxsbGysrKzs7O0tLS1tbW2tra3t7e4uLi5ubm6urq7u7u8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjJycnKysrLy8vMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTV1dXW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXm5ubn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4+Pj5+fn6+vr7+/v8/Pz9/f3+/v7////isF19AAAACXBIWXMAAA7DAAAOwwHHb6hkAAAgAElEQVR4nO2dB3wURd+AJ7nLpV4q6SEJkEKA0EINEKRoAhZAAgQBFVB6CSov4IeAoILSBOlVlCZSlGLDl66ggICib5QAoQcSQEgCgZT5dq+k3d7e7N7s3W74P/68O2an7dyTvdnZ3RmEAUChIHtXAADEAvICigXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFAvICisXe8tZAs9g3DzQHY2+0u3zD8d1/WZ15bgeXWhzBZeWko1SrywDsh2zl7Y7esjrzWcgljSMY5K0myEneStCQdzTqzrsd5FU2cpKXPSJeeSXMLW7mI9wKIdQK4y8SvSL7ZLEx1tYN/aAfeo+pMTo8PB7/0yvYpc6kRzgfoRVR7m3/2NXEo81pQ57GRJ+1Rg0/ZAOqRGLLKZ0RHTxmFMiraGQmb3E88opzRKPx2jjUZi3zu49C3ZD2AsYbEdIy/+nk7YjCHtRCzpEOaCLrJXJFyEfFvMTqsyxLxP4BqNmQKpFYedMR8mLCQF4lY395Dejl/QOhLLwzKE7fbch2ZdS+2xSl4UeB6B28FenlrbX56H4X/7t4KmrBejmkdANCw/FqhG6xOZYnwqOQvstbJRJTTpYTWo2/cQB5FY3M5M1yQCHDd+Zhvby7kF8xxptRCP4dqfMxbq6XdzObMGf3lHDUgPXyCM5B6Gd8hfWeoTxRRXkrRmLK+RTFMOHtQV5FY395dd0Gb2Of94u6jMjahXp5F6PGzLZfEXq0HQUxnwx93qMYF/VzROEt9PKexbkIZeCrBnnLE1WUt2IkppwpKIUJHwLyKhq5yYvx6en1kMONCkfeLSgQH0GaQoyT9PIew3gNCjyDl3HKW56IR975iOmZ4OdBXkUjM3nX1k0uwZcd0GlG3hH4hgsTfC+BUeyuG/oQ/+BQJu/bKL70UUdOecsT8ci7D6HP8WE1yKtoZCZvhjvyStCiJiX4deSZjt9HKFKLtOdZW5Efci6TdwdCgf6uKIJD3gqJzMtbGqfPD+RVMjKTFx/rFqKpOegaxv9r5NIN402tPSN6X2QilE6vEzj5pTJ58ZTA4GGHEfqGQ97yROblxVcHhwcOHwnyKhp7y0tI/vr1t9jRhvX2rgggIxQib3E0avJBdxSea++KADJCIfLi60MjXSIHXrR3NQA5oRR5AcAEkBdQLCAvoFhAXkCxgLyAYgF5AcUC8sqb/DtPLA8sNg7IK2suOvk8sbg9ttQ6IK+s+bOevWtgP1wtHnpBXlkD8vIhH3nv7OXiH3tXy77YSN4/ONt+7+Yd3OGZNqmUkuRdVLOzKU262rta9qFk+xYds0NsUtwkjqZnCI/lDl9sk0opSd6FozkCv02xeT1kQcGAXjraqO1Zi/T59iwd5FU4O53tWTrISwrIywHIyweRvF/lYbw7rf3gE9bXyDwgLwf2lffLA/YsnZK8KAMvdR2xcKznLuurZBaQlwP7ymtf6MlbZwvzvqOx1TUyD8jLAcjLB6m8HteZ92taq2tkHpCXA/vKe+2OPUunJe+C37t+wrx/0NLqGpkH5OXAvvKOW2DP0inJOygpBKmK8Uuq/VbXyDwgLwcw2sAH6VBZwe8Yb7taIaD0kP5S4Q/7RdXMFJCXA5CXD9HjvHld9JcKE2uIzaEKIC8HIC8fVl+koHbrCMjLAYzz8kEk74ZhRky3gbxWc3/56N4vjlxxj2MTDJXxQSTvX71R/3QdpttAXms5om0ycurU0S28fzHdBvLyQdZteOh61twmkNdamhoGpD5rbroNxnn5IOzzTr1ibgvIay1ehplZ7/uYboNxXj6M8opeKxXktZZuadnsW+6QbqbbYLSBD6O8zgnzs0UVAfJay82uqqiWrWLUybdNt4G8fBjlvbu6syZlQ4HwIkBe68nas2rlzksVQ/ISE3REqexVJxalyMuQ/XGAx8sHhRYB8lrNySVn8O7Ubhsrhp05oWOexl6VYlHMOG/JwbE1A4aO9/8/gUXYQ97TJzgQ3Wu3N5+r4l3fD5sxPWCJ6TYYKuPDKO/QgMBh/y3G+KyvwCLsIO9F5wQOVKWUKmJrYtbh3egnjP8ba7oN5OXDKO+IfSW694J9Aouwg7yZdbjSO5ZQqoitcc/Ed1E+xjkepttgnJePsm5DUS7OvCuiCJDXWtqOuDzBYRXGnySaboNxXj6M8v5aYxme4i2igw7yWsupEFTn15C2iR6HTbfBUBkfRnlbvleKSz9qKrwIkNdqii6U4BsrF2dxbAJ5+TDKq3tG7Za78CJkI69DJ46JiZ4X0xOSESAvH0Z5W6xhXj5vJrwI2ciLvueYEi4sg1Lt7ATcz8uHUd6fPTsP6+K+X3gR8pG3iCMwFuRVLAJGG7I/HjfnsogiQF4pAXn5MMr78NM5LMKLAHmlBMZ5+TDK28und38GM7F4HlQBeaUExnn5MMrrfoYnEt+DKiCvlMBoAx9GeQNyeSLxPagC8koJyMuHUd6lPc49LCws5I7E96AKyCslIC8fRnm9HRELdyS+B1VAXimBcV4+jLrm6uGOxPegCsgrCaflcDO6fREwzrtpUOr5TWajmT6okv+SfsmPZH9jyOReHDTtyhGY2JEjkHPhn7VBHDG7cPReqpm8eW3k8BiQfSGXd1HA9KBLgR+TZ13ylX6xpXm1jCFRC7eY4tmHIzCiJUdgq0Ycpczw5Ig51YlzT6qTvEYodxtKNy6XkJ1U6ypA3sgDOAgfqsUbl5PybkPUOY7N/tM5Ahu9yBGYyikv1zR++0BekeS4DJGOgZSnHieXV5vDyJtjpniyucpAXvpQlveWv+U4osnjeBLEGsjlfWY6I+/cp7gjkc1VBvLSB+TlwyjvucgGznH+p83EIpqrDOSlD8jLR9loQ+GOuRvN37lNMlcZyEsfkJcPo7yr9AgvAuSVEpCXD6O8KSkpyQ3RC8KLAHmlBOTlo9IF4RVNhU/cAfJKCcjLRyV5Hzhw3bHLD8grJSAvHxXlLV0dKLwIkFdKQF4+yh59Z3B1EHELHMhrNbZbUKWaypvJwnHTmEVAXmux4YIq1VTedCPzBBYB8lqLDRdUqabyjnJIGdPFcdjEiRt5o5sC8lqLDRdUqabyJq9gXlZxSWUBkNdabLigSjWV15Odq+yml/AiQF5rseGCKre0XA8MUKKHC9W6CpC3IXvkXR0nvAiQ13pMn1Mp6KcXoo2aakG3XJGEUH7ejlze7126T+ju9KXwIkBeOhSEVfxXyQ79QyMTOHdVNNVUXnx+2sBJfBOPmAPktZYL01jeRtOmmW6j3W3w4XiqihafuVGtK70HMM0D8lrLpSjn7qmp3VFqquk2OGHjQ/QDmEZAXqvJH5yYifM558wAefmABzDlwNbwFXkgbxUoPYDJB8hLg6udOoO8VaD0AOZXeRjvTms/+ATHNpCXCqULOKeXBXn5IHoAE2Xgpa4jFo713GW6DeSVEpCXD4O8hQf4HsBk5K2zhXnf0bhC4PXzOr6vawyQo7zRe8+bcokjokwBefkwyFsacZMvUoZ+qatrFfrE92Nr6wgru6QsR3mdg2ub4raXK70sAXn5KLvCNujco+LiYjORFvze9RPm/YOWptvk3W3QfMsR+BxH70emgLx8lM3Pq9Fd4eOONCgpBKmK8Uuq/abbQF4pAXn5MOqarcdsvILfMd52lWMDyCslIC8fOnlTmTO1fOFPvesAeaWEsry5Go4lbmnRwZNqXUnlRdn6/8UA8koJ7Wn9D3MscUsNrssAVgDygryKBeQFea3g6F/2LB3kVaq89+7o2AhLWfGgl/eDRYvY/xctEl4EyCsF90N9dHg42rMWipC3cRnCiwB5pQQWEeTDzGUJckBeKQF5+QB5ZY195T3+jz1LB3lBXsUC8oK8igXkBXmtQBHjvNagQHmbpU7gQMykFZIDJ2x8PInyBnaaZUpboXO72gSQl48nUt4pHIHjQF4TQF6OQJCXFJCXD5DXAMhrCozzcgQqR967dzgw86SfFMBQGR8grwFOeT9z9jHFowdX8dIA8vIB8hrglHfxCI7AH57mKl4aYJyXDzJ5eVYKA3mtxnbrsAmkWpyw8a0UBvJaiw3XYRNItZCXb6UwkNdabLgOm0CqhbxcK4UVvqO/qjo41BgSNYTjoqtbO47AgFiOwNgAjsAkV47Avo5cl3fReI5AVW+uOrXhCIzryBH4TDRHYB/K8vK1bk+6C6qY41OuBp0woVkn7nCuIwJ9KMnLtVLY47n6y6rvjTeGbOa46Dpr8BSOwFHjOQLHj+IInDKYI/D9/lwl9eUKHPAeV53e4Qgc/RZH4H9GcmVK+bvja90xfnTLMsNWrt1kvieuNmGwzVxvlOTlWykMsBa+1i3vlD15UBsqM10pDKCH+dYFefmwepy3nAaNEwiJjCaNWT+UNGaCH3HM0HqkMWMG02seUWS4EO9VtUNVaKl1KMobseMEIWlvkcZcmEga84Tjr6Qx280njTlhEL3mEUXpKeL9r3b8abF1KMrLOVTGyZgFpDG/TSEu3rGENCb5kxScQ2WAXAB5+QB5ZQ3IywfIK2tAXj5AXlkD8vIB8soakJcPkFfWUJS37kXSmOMWk8bc+yxx8a7E6xJ0I76+u3w0cfGA7aEo7zXimHcsXjsxUkw+azB58dnEz/E8uEOcKWB7KMoLALYF5AUUC8gLKBaQF1AsIC+gWEBeQLGAvIBiAXkBxQLyAoqFmrw3e3g3PWI52vlk75ozSGNfukAWs/itmiELiaKeSnKPXU8S868NuCwa4a4BtoaavF37XJyvvW8p1qOwIVf2+a0mi50fNY0s39Gt/9rmdJggalHo8Mx1qt8sx3zYZxguK5ts1wCbQ0veLFU2xk2WW4p2SP0Q48nPk8Ue7DyNKN8Cj7MYz/yCIOoFdBnj+CUWY051RcPK9olw1wCbQ0vePVHMy0iLN2H9s4J5GdGNKPa2xO7TiPL9MRSXklWhpM7Eu3tcz1iMeeVs/2FlGRLuGmBzaMm7qiXzMrU3SdR9nntIYl8Nz0ydRpTvhkYjvGtMLCGJ+qsDQu+TZJo+rGyfBOwaYFNoybuyFfMylWsCvSo8GO++lSR2aacVmJGXJN/FaPK/p8MXEUS9EbIq70jYboKYrLyGaMS7BtgYWvLujGFeRo+0GC+zXqcMotgLOufld3+7gCTfTYHMywfJBFFXtmVeZqQSxGTlNUQj3TXA1tCS95I6F+MWKyxFexz9RglZ7P6IJYwk35O+xRi/24Mg6uI2zMv0bgQxWXkN0Qh3DbA51IbKkofmrff+11Ksbb4ZmZmZ1wljM90Gopitx2Qf8N9KEDXLY3Hu/oCNBDFZeY3RyCoL2Bxq8t5+3rvZMYuxpumOp88RxmblJYmZ/ZxX9DKiqAdbukcvIompk9cQjayygM2By8OAYgF5AcUC8gKKBeQFFAvICygWkBdQLCAvoFhAXkCxgLyAYgF5AcUC8gKKBeQFFAvICygWkBdQLCAvoFhAXkCxgLyAYgF5AcUC8gKKBeQFFAvICygWkBdQLEqXN0utf5+Ybt96AHZA6fLmGaYeBXmfQJQurxGQ9wlEkfLmek3yDF6yLMJ7lq7bsCveu+dQkPfJQ5nyotfuz0Np95Y45jPy/k+z/NoiB5D3yUOh8l7Bd9EZXISuMvJO7s4EdQB5nzwUKm8hzke5TO1ZeQdOYILGgLxPHtVA3nd6MEHdQN4nj2ogb4Zmza21LiDvk0c1kBfvbODZbQbI++ShSHkBgAXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFAvICigXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFAvICigXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFAvICigXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFIgN5a6CmpcxbJJpMnMQb7TZ8OtwjyrP1xPwK2yqHNEMMLvFLSyomYjm++y/rqi0/0lEqfwS2Bbj3u3LS3A4utfjTX3IbRlytsnZnC5mHDhMntIgs5EXrsEh5pzuycqLojLJNVUJ08jIsrCpvd/SW9VWXF0Tycu935aSzkEsaf/pUdJa4WpXk/dejcTFxSkvIQ97QAnHyHkCoxy+XP/NFbUoNW6qGNEPMIeJCAqoF8uohkXc06s6Ztkze06iz2PqNQltEJOVGFvJq0LtGeb9I9Irsk8V8QOjw8Ph8hFZEubf9Y1cTjzanMf6nV7BLnUmPyj1shJ5iHT2K0BeGzKqG6OTFa5BjoT6RMf9WzNG4le33VSpKZ0QHjxnFyvFoUj33hI2YbcBvUv1qTmM+XXklzC1upr7ZdPvdTedeJFrJnfSz1qjhh2WNnYtQJsavotfK0+OBaCdei9Ah/AHSmPZCqnxrbLuXF5LhkEhtr2Uh73AX92t6eWcxR2E3pL3Atn1HFMY0A3JFyEfFvMTiB7WQc6QDmlgm712EdumySESGLphJiFFeTYkuUVn+a+NQm7U231XJSEfIi2kpRo4uKKiNGn3CNmANJxVCm3FxPPKKc0Sjdc2m2++NSJOHzyFVDndSVlB1WWNXlleXvsTHnfntfwq1u+eLpphWpvK3pmv38kJwE5RNa69lIe+sSWigTt5sVzQL322K0ti2r7X5KNMMQ0o3IDQcr0bo1n4X/7t4KmpRJu8hhC7osngdtdbnZRKik/diM9RIl6hC/tWq25DlhFbjbxwYOfYi9zt4JdI+ZBqw94PrdRjn/kAoC+8Miiv/2c9zRV/jJaiTuaSjmAYqa+zK8urSn0LtmZQZzqgziinUVeC3MD3z2H9U/tbYVOWFYDyMXr9BHvLeD3D8jZV3F/Jj/qQ3oxBW3s26ZjiCcxD6GV9hvwGcs3tKOGpQUd6LuixGokR8KzMz81qlEBbjCdsmXaIK+VcreT9FMcxre0aOKSh21qx3EPqdacD9GI9geq9ZDihk+M48XKHPmoqG4h5ombmkrLxljc0h7070Ept0GtKVwXLM0MxsL6Xqt8akKi8E4xloDq3dloe8eDnqEMHIuxg1ZgJ+RegR0/ZHdc1wlm29DHyVaYaifo4ovEUFeZlOAvv+0a3OzJF7GNN2nSuFsOjkVTf4FOsSVci/Wsk7BaUwr0MYOQYaLNrKNOAxjN9iT72+qMsEaBdWkPdLFF7s7ZhtLikrb1ljc8i7gf0HxnfUKIGrNpW/NTZVeSEYz0fv0NptmchbXB85lh15t6BArG/7ys2wBgWewcsqyIsbog4Yb0UxarRRL2+lEJZmqGxAsuzIq8u/Wsk7HzGdAvw8I8f/oZ6GsHJ5MT49vR5yuFEu7wMPtAo9ZTYpK29ZY+ey3wFOqyjvN6gPG2080+J7OGpjKm95IRi/iz6mtdsykRd/xzTEZHzDhflNuZfA7iSHvG+j+NJHHSvKuw+hXqeuJyFUv8SQWdWQyvJWyL87GmHzPZUMZq8/x4fVzH7tQkF38PFmrW6Xy7u2bnIJvuyAThvkY/e7LwpGizH++quLXElZecsa+7EKTS4+7l4u7wicwZ534FNq1AOF5+kqULXPW0Xe8kLYY/hOWrstF3lxCisvfh+hSC3SnueUdwdCgf6uKKLCkO07+ksSyP+UMbcqIZXlrZD/68iz+qz4WhqHkB9yZuVIQgGJzuyITJm8Ge7IK0GLmujHW/T7/RVCjtcxVqNlXElZecsbuz1CLsjXKK8ufajmAS5pjroUBCN9I1bt81aRt0IhOEb1L63dlo28Z1W6cd5NrT0jel/EnPLiKYHBww4j9E2F6w0HXqjlGvXG+w5vlmVXOaSKvOX5/6+RSzcb7aANuDo4PHD4SFaOgrFRbk1W44rdhmPdQjQ1B13Tt4B+vws9UTusk5crqe6ErayxL6ZoY+aX9Xl16d9Ca/DHyOE35iTF8VeTypjKW6GQn9EL1PZaBvLS4GCJ5RCgAh3YC+aiyVI3Fps0De2zouDKVBN5AUEUHnZxvGpNBmPRQXEJr6pTrCm3MiDvk0h/pB+pFc2/if8nLuGqxn9bVXAlQN4nkZVDlxbauw4UAHkBxQLyAooF5AUUC8gLKBaQF1As1subf+eJ5QGFLwBa1xyWW7eivI9LzUYzz0UnnycMT6234ZPbYxENBq1LiOXWNcr7d/cHh9wCjwpv3j/rCU+jZM63qNO6xiL9Z1fJDr159WrrCNFIVYL8sdy6Rnnb9SzqOndmG+FFPGnyNpuHcVZt/fV56eTFl87rWAny8mCU1/VqoVt+jrvwIp4webMi2NdPRun+IaG8BnY6S10CxtcO7T2ebzmazSGXN+ynr5/CZwLIsy7ZvkXH7BCRdVMmvzVlXzf11f2jGsh75/26Ndp1TnBvuyRP4pIEQy7vTK37xj+DR5FnXTCgl442apF1UyYPfTKZ17T5un8oXt7Sxf4Df2FP0wv3pPrPkNnhl1xevO9bfH6ViJl4bPHDJidWhX+8vlfTh7rPSpc3JzmxfMqQcy+FrRcz3CQZAuTdNCj1/CYRRTxp8uKjI/st0LurdHn/V3tSpaPVsYT2cpp8kFzeRQHTgy4Finiu84mTtwLKlvd40LoqISWf+E+ST9+BXN7IAzgIH+Kc2JIfkFdKJGzd44EcT/He6F9znVyenyKXV5vDyJujFV5EdZf3Ec82Jct7Noj7CfSf29RfL/mFQyLI5X1mOiPv3KeEF1Gt5S1+L0ATbf5MQMHyZtXcaG7Tt52Cxh3g+5u1EeTynots4Bznf1p4EdVa3nfbX8THan9jbrNy5b1TbwHP1n/ebe7Rov/bc5dv2bH31HV7DUEIGG0o3DF3410RRVRreYMuMy/bnzO3WbHyFra3NNdV3s/rZowb0qtbp0ZBbi3Sv7NHR4JQ3uIyhBdRneUtcGNfzV8AV6q8pQNSBZyV3T8yMzFwErVJdYkhlBeVIbyIainvr2t/KGLfI84wL2vMTpavVHmntxBa8X9G+U21wd3LlSCU92oZwouohvI+7hb7amJ9tsewpu63F9YFnTQXUaHybooUcRi93Cf6Z/pV4UNAn5eX+8tH935x5Ip7HJuqobzvvcgcdj/qwn7cmlT7OdPJuIwoU96fAv4QlW5H0Ic2PXcjlFe9HKv1cEc6om0ycurU0S28fzHdVg3lTTrEvDzSWh4toiSvbQ8N54K/F5nySouXbDlVCaG8WXk4Sw93pKaGcZXPmptuq4bytjzGvBRrLZtJR17bHhpyYlaITvswtcN9ilWxAHm3Yavu1cxSF14Gqe/7mG6rLvJ+n/bMxNs545/p+yMez86KuqG15TR05LXpoaGg9dtWpC4Z1ora5LoWIZX35DHfYwzfe3BH6pam6+HnDuGY0bYayHvptWbJg6PXfZ8eHvbW92tqr8xr8vSM/sEEHUM68try0FD0/MtW9VtLRyfa7KZ1UnmbR6oiWSZwR7rZVRXVslWMOvm26Tbly3st5P3j21XsASmBPdpm+pYUbZ68jOSCDR15bXhoKH21i5WXG0pfe8ZWV47Juw3t+aNl7Vm1cueliiF5iQk6olRiKycXxk/C+K8YryJG3pbsv6P/IU1JR14bHhrGJRZYm0Vx9wE2GnMgl/fhp3NYzMQ6ueQM3p3ardK9HGdO6Jin9OdbbyZ/g/Ft37oZGCcmMf8u8iY+KaE1VGZ6aDBCV94pjcXcAFCFBy2nW58JCeTy9vLp3Z+BO9LnqnjX98NmTA9YYrpN4d2GnZEB6oRcjLs438F/BQb/jR+N6kGcWGHjvB/Uu0Ujmxvh22lkYxFyed3P8ESKWYd3o58w/m+s6TYly1uasSbwKD7g0Qbf7xXmExPw6Ur/WO+eHL/eZlCWvB/FXqeT0Qn//9HJiB9yeQNyeSK5Z+K7KB/jHI7RCAXLezmxdqjbhxh/qfJxH3L/zt9Mr7fo7zsCMqAj74ZhRky3UWzdOdFWrUJRkdX1bfGwELm8S3uce1hYaOYCStsRlyc4rML4E47V5hUsb/v3Svssi9uFcQv9bTiCoSPvX71R/3Qdptvote68qCu0ssL4lYH08jILubzejjx3lZ0KQXV+DWmb6HHYdJuS5H2wefa7s+d8vOiTOatXzN8x3+M3/N7wT1/Ft7xFjl0Sy8v/UO5D17PmNlFrXaru4vxYMQ+aC4Rc3lwdGWZiFV0owTdWLua6eqwgec9HPlvTw8vZ3VvTWOPVSVXLO3zSncjUtjubvisyQ2J5nRPm893INdWsWLRad0Edmu5ifDLgMtX8uBBwV9mpH3/88WuOazyWUIq8Z9/u55/ULS3DbURS6CXVxgkuZ1ppj8YczK5XM2Wj2IFLYnnvru6sSdkgYoyVUusuqcU5EGcFMztJPtpLLu8UjZdfBBJx3Vsh8m4OTtM61vaLXdatWS3tUb/lmzV4RaeQp1/sa825h5A+b/bHAR4vc6+8J/ldZWvDL9LIpiLFrRfRzrIq5PIG7z3zKv5otvAilCHv4xq/B/6qfT66U+oLzWt7HPNdsckZLx/6W6uG86055yKXt+Tg2JoBQ8f7cy29x3VXWV7Xzjoa07h+uT2E4sJ9RjL8L9LPtBICpji9WdoSF9QRXoQS5P3+uRB1tNel5JcbtunsOrJd6EXV52+6HG/+5d2oI1blSyzv0IDAYf8tZvouvhwbue4qKz2wV8d0Ctcv9wecsj4TUz58RopcK0AuL9OCLS9d9BRehALk3VSrXy2tt1vIL/41a6i9NR4+Tk003p1VMcPDplqXMbG8I/bpH3gs4Fo0WuK7yv4I3G91HlwUNf1MknzLIJf3O9eMOf5BA4QXIX95C2sf9rzasJ/f06Ni3wx5Zf6ixctWf7xh3SffrF36p5U5E8vLe7e0tHeVZUeanV3ESk4E8V3Ysh4Bow0Fj0v2iJnnR+7y/txSg1SqmX9GObs5xAa8QzVvQnkt3C0t6V1lhYnTrMzBPGNelyxrFnJ5V+kRXoTM5T3vPyTKK02dOPOrxOFd91yjmzmhvBbulpb0rrIhPaUb0roXKmIBHhlObZYAABhGSURBVHLI5U1JSUluiF4QXoS85f3R393Nv1eKW0pg7KzQY7RzJ+42tBdbgrWtuzZOyofO1idIOaOkwEffVzQV/mcqW3kvbF22rKnKU+u1KWiISoPcI+nfyEf3rrKTE03DrGzdP/2t7dbzUpq0XMLcBcr7wIFroNwMp2V9M/q/z2ndnBwcNb7PB/ROn+W/JVqKkwsyeS1NLGBkW5RpmHXyPoxfY01yy5wOEnITnkCEyVu6OpA867w2cn4M6KC3j7eHt7aOZ7q6h/rp0C5RG6QohUxeSxML8GGdvON6W5OahOFjpcubXF4PBleH+cKLkFe3oXDtgGdSOj+T4uLfq+bYABcvz1cadFarPdp/LUlpgroN5hfHlery8P4w8vvqRZIj4X3p5PJmsojZV1nJe7tutJfawdHR0UHjq+7RM8Svk2/dZ8OSREx+SQSxvLyL40o16Uh+nT3iE5My1+z8r1ZDLO9Pw9slDT+K12QKLkJW8naL9ggZGufkHhTgEexWI7qDKqa5ymWyZHMUEcvLuziuVJOOjHtZfFpiHkXtlSprUnnTnXrPnNVX0zNc+FNOcpJ3saZzspPv244hvZ1iQ/wcVI5BXq49cqQrj1he3sVxJbo8fCJY2gtgBrY1st/vmk7ezT6/s2/b0UzhRchI3gc+jSYM8ajztGNo74bq5hEOgR26vPO7lAUSy8u7OK40l4eLm1VdqEoi2kk1okEo71PLdJ87dm0qvAiZyHvlZV+NykHlqm3TzsXNzWdARHCLBpIXSiwv7+K40lweXppko7lBfgmzeiITbgjl9dEPZd/7U8Sq7/KQ915U03jGXh9nJ+ZkzcHB0cElrO45yUslH23gXxxXgsvDuYGS/uZUJG2GNPkSyhtpmPP6F8UuIjjA1cGpVT/npq/HemkHT5/x3ntz9tpgDRBiefnnI+JBdOuOGC0yoXAu1JBmvQpCeVMNP2jpvYQXIQd57yY5uDprA19IDvZwdBawcr21EMvLOx8RH2Jb92yA5EO85bwxXJJsCeXNcGNXy3j4nru5p4d5kIG8ue18X0yroUnWxg1KqxNl9jFy+hDLyzsfER9iW7cL3zJrtLkdIMIby5AOlf0Y5da4iXvUjyKKsL+807TIwU0VU1uLQvxi2j9tw3UTiOXlnY+ID5Gt+0O0TRdOm80xTmI9xBcpCvcvXrTP/GC+nBdU2RDuHvxs93hnFULIwXWwDX8uyeXlnY+ID3GtW9Jkq5hkoimMPCRBrpRWA5Lzgiq/uHjWdEwIdHu6uc9GMYsgWgOxvLzzEfEhrnU3tLLxkqsbW0hQICV5ZbygyhZnz3jP9l4dnTXq9TYvnFhe/XxEIvoOolr3cZ0DIlJZQ2lzCR6UoySvLBdUebzi2Yb1o1WOTTrExr2m1XhKdo3dPOTjvJsGpZ4XM72XqNZd0kVEIus4WOsh9TwpySvHBVUeNq/j6+TA4Kau4Ruhqm3DEbIyiOVdFDA96FLgx8JLENO6BaG/CU9kLS/Oop6lAHn5jg1yXFBldkpk8LPPqN38mie4h7vGfGWPOhDLG3kAB+FDNroE9JHZtZIlJJP+lQpyeS0cG0wvYBb066WjjYWHW6QidXjfiLovB7o87aKOdI624dp2FSCWV5vDyJujFV6CCHnvB0j63Jo53nqNdo7k8hIcGwrCKv6rZMcWHROcrKifFQwa1t23xWDPdq5hTqqO4uaGthpieZ+ZzrTu3KeElyBC3ukiZo6hwL9BtDsr5PLyHhsuTGN5G03jmMDC5t2Gq2lu7L03Dgg5N6rt5BfTIKamLVfErQixvOciGzjH+Z8WXoLw1r1TQ/gDBVRY2ZbycBm5vLzHhktRzt1TU7ujVI7elC3lLbxyNftSbNNG/m4atSbA0QExCqu9ap+wXQ0qQz7aULhj7kYxy0gJb93/o/7zTUhJAuWHXMnl5T825A9OzMT5nCMTtpM3t5sT4yuDY93uzj4pYdHt20QvXbryqL2Ou7JcDSjHT8QzynQ4Gkr3zEPAaIOFY8PW8BV59pX3Wzd3tVN9Zyd/lVNwbE1VR7ceI9KCbVS2GQjlLVr3UuvWL60TcvnvwcghOpKFng6PHykwAUUGj6OaHaG8xWWYj3i1U2c7yvv3hilal05vNnZsUk+ljohUa3ySw2P6DhRxCkQTMnnvxQeMmjt3dGBDATO6FK9drmOkwNPhG36Up2MTQk4g1YmACeVFZfDELF3AeT+qLeS93UnrzJykOUW+oqnVXB3gp3ZwUjnFxNUI+0b6svkgk3dQW120h0kieqNCW3c03YOfQFa3oHlzCaG8V8sQXoQN5J3tonVxDeikcov0dw5tGuincUSODJpGuyQvmh8yecP3698PRgovQWDrXva7KbwMepR2mEcxN/I+b8myVsHNF4mY9E9yeYuSnYLinUODGzh7u6gdHR38w70jJJ6CixQyeZHhl/ym9HeVvca15oUNOed/nl5m5PJOC1m8b2noVOFFSC7v3KcS2r6XqH63plMrf+TkqfUISP5O4iJJIZTXcOE0V3J5M/wprOpuFXPb05v0lFzeMPYuukM1hRchqbylm/vEewR6d+oX6Pxc1yDPKCluG7UCQnk/XKZjjuTy9qJ/d4xAStrR6zgIuMLGrmh4TcTQk6TyDmvsG+Po69DIrb6Dg6pGTOhFCcsSAZm8DcoQXoKg1j0eKtEMCgI47/8HrazI5R3wagEuGCRiyQbp5L38WpjKva7XNM9XVBHhqsC23Rb8K1VRIpHZRYqOKySrBznr6tP6CyKXNwm5Rbmheg0aTBdYhGTy3gxL827kGq85ERugCdaIWC1DeuQl7556dro/qTL9B1PKiFze3UaETrQikbwP8NtjY2Y/39E1pMegN136/EeSQqxFVvIW1dspYUXIyau3mk5GAi4P58tonLd0doCavW8sKXCMe03vwH7dQk/SL4QCspJ3cScJ6yGE/wVwPKcrAnJ5Z9r2+VZ+PmrQ7cXa7u1VI4JrOzoiR+8A2z9bSYSc5L0TKHZiE+rsDLtCIxtyeb2WCO0w3bujYyN1ea8PcIx26NR2tVPL0GeTEiOnHzkhuSMikZO8I+x4R05V5sbTOLUmlzdc6O1s90N9dHg4Cq8WH6VveHg6tK7Vol62d5gjUgcso5s9VWQk7wkp1+URzJj2FFqGXN5lfc/YcGYBbu5tW7V8RZ+o+nub9FRvUG/rOG1ER4nXZrYS+chrs6mkySjp38X6u6zJ5V1s8a4yM9CT92hosp+zh6OPa521NZ3qOTj3qTGguU2n3BKMfOSd01Fe1x6LeqdY3Tbk8gbNv5vPILwIOvJmz/vPW16vPDdpgm/0izHPPfe92kfl5Vv3DTn9FHJASV7rZ4L7m+YNMVQofrmdtV+egMvDYh/hoCLvsYDhTdzVbzguaPl2/SG1A51nBATuo5Ct1NCR1/qZ4IpaLaJREaqUvhln5ZOg5PJOfP1KoQ3nMaxC/K4dzX/z/T/vGg3fTaupna/SvEDtCrmU0JHX+pngJqfIq9OgZ2mgdevACRgqs0uf9/ywpNT+Hbomq/v0mVPk17h7zIuhn77ZvFWE9MtJUIGOvFbPBPdDqDTz6lvLkfA3rTltI5dXP42hjWdGzwj4YE8Nj0neNZxWe6XiDzQvqd1d/Gp0D/tHfJY2hY681s4EdzHoII1qSMDtnvV/Fp9awOXhUz/++OPXHH/7lrBG3rRFeMbwQz7Tr6lnfqa69PSMsZ5vTEl/Z02e+BxtCx15rZwJ7l78JzRqIQ1bQgeKfiKUXN4pGi+/CPS28CKskTfuL5y6tUS1HzeIbqVWRT4dKtdDiBloDZVZs5TVw462W/dHBPcm+E24JS4pubzBe8+8ij+aLbwIMnkf6P/+7rM/kCVXHuk//dvuBzx6frbz5pLAa9+5fLflW/tMlyceGQyVFXbtS+/BG0m4MsJ3pKgFV8jldb1Z2hIX1BFeBIm8ub3dQ0K34stdtIFRe+f7hLkPTNYGRjT20rpsPxrcoXv0wJT8AYOEF2137D9Udv/p3rK4iZeXG+8EdVwv/BZ1cnmbLsAtL130FFwCkbzPjS7EJ0KPtni3CO/zjrmAc3zaFBdGav/GrzpGuLhFuGgitAMV09GtgN2Hyi42GmbjZTjE8WhLV+8BOwVOnk4u73euGXP8g0TMjkkgb44/28If96vH/qPWKxj/EVsDH2k94QOMh7z7oOTiveIL9n/4Sgz2HirbFmjL5dasI3tRe+9en+UISCFgtKHgccme9SJuJSCQ93Qj9nV7YjL7FpyG8bcp7gWb+ywZgfHMScJLlA/2HSq71CuWzl3ftuLWmhe9Wk45RCqZoDUpLpq/Pk5wSlGya9a6KidchZtmbmVr+tDzOvM6+o0ANn1NRt6rPlH4z4geyzF+erPFfZAx9hwqyxrrN43+IiZS82j/xATPlJmHSWpOOtHetBYYv4VQkpmjOsEpxcN2iRNSQytNKH8t6tmJnRuw38is+G1H/hNxO7317oPDo/1n/7zGo+7ug7EeO/e/3Eret41ZwG5DZbc/f9Zv/A06hducO1+Na+7ectSa3yxcfiOU98Nan+Pf0ersZ83cjU9wSjFlQCnGn7euuKUnOwXGRN2zpFtfSBx3E5es7ZL09r//DG7d6yDzadK8Z56aJuI2Nhlhj6GyGz+tHJXg2U3E2bucKDg8r1+8a8zzbyzcefKamQMYobzt9mI8nTn4HjczFRzXKUXhOxN09NTPIJvEXl8o8awoYw321vYLtS3VQMFIN1T2aM4sHa9oiwwsGNW/z7OJdWvUfmrowp8eFFUHHpzdMX9crzZRPiENEpOf7//yqFFjJ0+evN242ZtMXu1Nxj7mOHnFlTsS1ynF47n65h3jp/tnh/3MS7FnxeNBADtj4bloQV+kspBuqKxwqv7Q8EqI8av8dtWXX/14MivfPp5JS+65kwd/2PrFqlXL5syZ850xlFDemj/gbKfjGB8yMyER3ynFn7oBMPxeagnGS9tX3PLSZOZl9AiCr0+pSD9UZmjdJxLCbsPIjj/1jSvB+R3HmItm/pTC0LyPujYcmVyn0q2MtxomjWrRUsB04IpD+qEykJcPnbx3X1B7/xd/691MxFlAhkuCntjwOk0SKtE0qmY081bfyU0ALhohsTXOQmI7uQqK3TTBAioqa7nw/a6VtS4pboJ2kR9hX4UFnBoI3BOC1jWM8z5ifvSz9om51Fh66oQFtoR+LoBhbYTETuknJHbMO0Jia36ytGe0lpo0/7tmuXWrUOt9IbvIz5gW9PL6PGSLwD0haF0Rz04IRdhP32eCLlGnzxcSu+1hIbGlfzZYAhqJWKnQHF/SXMQ47i+KmRkAec1ia3lPTqSQCchLF5CXjG1RFDIBeekC8toQkJcuIK8FeC4PCwbkpQvIyw/fbU+CAXnp8ndDIbE3viok9puCnpxtf1RIbE8brcjNd9uTYBLOUsjEwI4+9PLC8RLMZ2ADebGgh58fCbnZHt8VdFnluqCJZWy1ii/f5WHBXKeQh5EimstpStGatpAX4IXv8jDAB8hrd/guDwN8gLwywPzlYYAPkBdQLCAvoFhAXkCxgLyAYgF5AcUC8gKKxRbynk/2rjlDQPy/NhBGvNnDu+kRKTLGwistC4Q2iFkGsms8fEUlP12jGzKiVj89NpD3UdiQK/v8yJcCf9hnGGHMrn0uzhewjBF5xsIrLQ8ENoh5khZkZGTk0chP3+iGjKjVT48N5D2kfojx5OdJo091RYSOZamyMW6ynH7GWHCl5YHABuEh5HdK+ekb3ZARvfrpsYG8/6xgXkYQX7i/crY/oWN72EcPRhLPak+eMRZcaXkgsEHMU4Ce1UYto5GfvtENGVGrnwEbnbDt8xSwJlc6oWOrWjIvU3vTz9iAoErLAcENYo7fHRde+8J1D5X82EY3ZEStfgZsIu+D8e5bBUQndWxlK+Zl6ov0M9YhsNJyQHCDmIWdBGFEGpX82EY3ZESvfnoklneti0tHnFmvE9mKGrrY5I7tjGFeRpuZ2ZILIfISV1pGCG4QXha2p5If2+iGjOjWzyZH3sfRbwhbsIbUsUvqXIxbrKCfMRZRaTkguEHMse0l5iV9MJX82EY3ZEStfgZsIO8234zMzEwBt/gTO5Y8NG+9978SZCyi0rJAaIOY44pq5rWvPY9TyU/X6IaMaNXPgA3knaZb1fg58gTEjt1+3rvZMQE1ESCv4ErLAqENYpZ9LT0afk0nP12jGzKiVj89cHkYUCwgL6BYQF5AsYC8gGIBeQHFAvICigXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFAvICigXkBRQLyAsoFpAXUCwgL6BYQF5AsYC8gGIBeQHFAvICisX+8nbWPWSOonJRscW4WeoqAVeNif7uXcu34xb+pFcJSlA2qC/7OizddMuvbbXND3FOkOvBNL7fAM5VuydWyMjY9Powc1/WqST32PX6j5Wm+F2l+47DBO2MZewv753s7OEp2dk5FuVtfhLnVZ0e0+jjf91H/PTnEu9xvEmfAHkdfsCc8mZ7L7y1SXuVa4Jcj43ZV79pOJQru4ryGpueCWNa08yXVRQ6PHOd6jfd50pT/P7LfM4YyPFHZRX2l5fhre7Y/B9z6SPDh0iO6SoMPj6Knsq+nXH6ibsAfdInQN5Xox5yyruKXZQ77V2uCXI9vmNe5rXmym4ih21MGNOaZr6sC+gyxvFLdJ9Npvi9GpcvYFdIkJO8X9X16FWIM1M8ay3G+Hgbj3qfM0eM7yMO6EPaq3y3sr9dR1tpW/2K8XcJbiFTjT7ud9MvoN17eKYH85ayyrA513tpoHuvQkNSNrIh95k13ZIkWIbc3qBT8VM45V3YlnkZ/BLXBLmMvCVn2s7GlZsM74r37jk0vdUnOMdhMn7keohten0Y25rGL6sKJXUm3t3jeob9aDrF7yt8vTpxu0s7QzEY5H0x92zY+sJa797cH7Dpts+cmzs9DmVrBt4whLB/8EwL3vRcfX2Gf1GB64LsHzSnDPIubqzPaGY7g7yGzbmO3XNO+3xqSMpENuS1T/vTlRe722+HpQKd/cklg0veDOcvCr51e4Zrgly2z4vq38SVm+x/muXXFjmkT++Ot3u1wYe8i5j2M4Tpj7y6L8uknF8dEHpf98lkit+T8aXUd5d2hmIwyHsO414ff1Wf+Tx90OpmzNvowdnoH2wIMRj4cSfmD3xp7uMMXPq7948GeRc10Wc0M8kgr2GzLs/ec8rlNeT1rfvXhUUP7LOzUoLO4tc7GuXdXkOHfjnurbXUSa/25pogl+nzZp97Na64cpNNZr+SDuknvIvHTtYUTO/Dtp8hTC+v7suqWsyNkFV5R8J26/KtOsVvp8/o7y71HEVgkPcx0y37eJ5zEEPqu2lM0MKns9EjbAgxGDhOP1le6dxWLV/xM8q7z/2hLrSvvtuQvMqwORcx4f0ryGvMa8NTbl0P22lvJYSR97b/51yjDcxfPB4yhmuCXF2f9x46XrnJBk5gQseklwb+2uR0wx86fMa2nyFML6/uy6paxkq2dzIjtezfFab4ve5Bu8crL3mL2fbYGMd8vnR+VQvmbezAbCbQEGIwcE4XxtwpmXv8szCOMMpbWOc95gvouF1zNNOV+XFquMqwORcVVpbXkNf5P3H+HLfHdtxlaWDkxesCepvKe34gc9pbayfXBLk6ee+jM5Wb7J0eTGi3dPzKRN+SsW+432LbzxhmPGEzlXdxG+Zlum4lj6pT/C5Lk2B36WcpnIry3vWfm3M4cFOO18I732oPsPIaQnDk92wLXnJfnzPb6+76oKyCj9DXxgGEve7jjv/VFfXEtx3WPFyJVhk2l8n7vUFeQ16rgn/PnRlAvQ9md1h5cXtHvbzbvHXofs8LA/9zeXytx1wT5Hp8kZub9Vr4o8pNlqFZc2utSzr+Qvsc/lrbSjfOawxjWrOCvBWLyfJYnLs/YCPedtJkit8uyyTYXfpZCqeivPhUkkfEPIyPtfaIW49ZeY0hEzy2sKe8+5q6NTmAH/fT1p49yee0ccgmIzXSvcnM8LV4nr9jwgurDJszDPLqk7Km6/MqGuHv1vpnu+6zJOjk/UvD0W04Eu/17GXOCXLZEzbnFsdxlSbb2cCz24x0fFf1IfP/DP1FCkMY05pmjrz4YEv36EUYR02sOsVvnvNpCXaXfpZ25HqmvWsA2JDqJS/wRAHyAooF5AUUC8gLKBaQF1AsIC+gWEBeQLGAvIBiAXkBxQLyAooF5AUUC8gLKBaQF1AsIC+gWEBeQLGAvIBiAXkBxQLyAooF5AUUC8gLKJb/B6In5RNtNcW/AAAAAElFTkSuQmCC)
Compare and contrast: 2 vs. 3+
library(ggplot2, quietly = T)
RStudio Community is a great place to get help: https://community.rstudio.com/c/tidyverse.
qplot(mid, data = exam, geom = "density", adjust = .6)
![](data:image/png;base64,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)
qplot(mid, ..density.., data = exam, geom = c("histogram", "density"))
![](data:image/png;base64,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)
qplot(mid, data = exam, geom = "histogram", fill = year)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArwAAAGwCAMAAAB8TkaXAAACglBMVEUAAAAAv8QBAQECAgIDAwMEBAQFBQUGBgYHBwcICAgJCQkKCgoMDAwNDQ0ODg4PDw8QEBARERESEhIUFBQVFRUWFhYXFxcYGBgZGRkaGhocHBwdHR0eHh4fHx8iIiIkJCQmJiYoKCgpKSkqKiorKyssLCwtLS0wMDAxMTEyMjIzMzM0NDQ1NTU3Nzc5OTk7Ozs+Pj4/Pz9AQEBBQUFCQkJERERFRUVGRkZHR0dISEhKSkpLS0tNTU1OTk5PT09QUFBSUlJTU1NUVFRWVlZXV1dYWFhaWlpbW1tcXFxeXl5fX19gYGBhYWFjY2NkZGRlZWVmZmZnZ2doaGhpaWlqampra2tsbGxtbW1ubm5vb29wcHBxcXFzc3N0dHR1dXV2dnZ3d3d4eHh5eXl6enp8fHx9fX1+fn5/f3+BgYGCgoKDg4OEhISFhYWGhoaHh4eMjIyNjY2Ojo6Pj4+RkZGSkpKTk5OUlJSVlZWWlpaYmJiZmZmbm5ucnJydnZ2fn5+goKChoaGioqKjo6OkpKSlpaWmpqanp6eoqKiqqqqsrKytra2urq6vr6+wsLCxsbGysrKzs7O1tbW2tra3t7e4uLi8vLy9vb2+vr6/v7/AwMDBwcHCwsLDw8PExMTFxcXGxsbHx8fIyMjKysrMzMzNzc3Ozs7Pz8/Q0NDR0dHS0tLT09PU1NTW1tbX19fY2NjZ2dna2trb29vc3Nzd3d3e3t7f39/g4ODh4eHi4uLj4+Pk5OTl5eXn5+fo6Ojp6enq6urr6+vs7Ozt7e3u7u7v7+/w8PDx8fHy8vLz8/P09PT19fX29vb39/f4dm34+Pj5+fn6+vr7+/v8/Pz9/f3+/v7///9FrVw/AAAACXBIWXMAAA7DAAAOwwHHb6hkAAAUY0lEQVR4nO3d/YNcVXnA8a0l9oWqRSk2WBWpkTa1VUgLtF2bauO6pGmqYBOgEQENYNKkJV2paUzXllIlKhQwlIT3Gio2IWukiRbJcpPNZrOz29k7M3v+n87szu6ZyZl7zznPfZu7+X5/SMZwT547z/2wmWJdBhRRSRso+gaIpIGXSht4qbSBl0obeKm0gZdKmwDvlK3qnPWSmCqVJKfnqklOz0wnmj2b5PTshSSnw5kkpxMt7ULN8Yn1A97AVjW0XhLT1FSS02E1yenpySSn6zNJTs9MJDk9P53kdPVMgsNnlOMTA68l8EoCr14FeAWBF7zgFQRevQrwCgIveMErCLx6FeAVBF7wglcQePUqwCsIvOAFryDw6lWAVxB4wQteQeDVqwCvIPCCF7yCwKtXAV5B4AUveAWBV68CvILAC94IvP93cT2vAq8g8OrAKwm84AWvf+DVgVcSeMELXv/AqwOvJPCCF7z+gVcHXkngdWvSVlizXhJTpZLkdC3s/esG3p5XzU4nmd2oJjldnUpyen42yenwfILD55XjE+sHvNO2anXrJTFVq0lO12u9f93A2/OqudkksxthktPhTJLTai7J6VolweGKcnxi/YDX/ocQHxsE8bEBvOAVBF69CvAKAi94wSsIvHoV4BUEXvCCVxB49SrAKwi84AWvIPDqVYBXEHjBC15B4NWrAK8g8IIXvILAq1cBXkHgBS94BYFXrwK8gsALXvAKAq9eBXgFgRe84BUEXr0K8AoCL3jBKwi8ehXgFQRe8IJXEHj1KsArCLzgBa8g8OpVgFcQeMELXkHg1asAryDwghe8gsCrVwFeQXF47XcPXvCC1z/w6sBrBl7wgjci8OpVgFcQeMELXkHg1asAryDwghe8gsCrVwFeQeAFL3gFgVevAryCwAte8AoCr14FeAWBF7zgFbTy8D462Grh3xi7rfliL3gtgTe+PPE2wjB89UsLL4enwrAOXkvgjS9PvK3u+nHrx9nhzl+zrwK8gsCbMt7nH1z46eTw1qGdE+C1BN748sVb37I48Pius/WR3c0XZ2+77bbvhLYa89ZLYqrXk5yeb/T+dePx955dy2K2W3GH7XevEm0t0Y07z84X7ws79OvTG5o/nLv77rufrNpqNKyXxFSrJTkdNdt4/L1nh0lmz9eTnK7PRf81+92rZFuLmW3PdXa+ePc8sfjzibHmh4Xlz732P4T42CCIjw2p4m0Mvdn6aWzmlU3jjb0PgdcSeOPLFe/Rzy78tP6YOrB5454KeC2BN75c8UZkXwV4BYEXvOAVBF69CvAKAi94wSsIvHoV4BUEXvCCVxB49SrAKwi84AWvIPDqVYBXEHjBC15B4NWrAK8g8IIXvILAq1cBXkHgBS94BYFXrwK8gsAL3n7D6zY4AC94wSsKvHoV4PUdHIAXvOAVBV69CvD6Dg7AC17wigKvXgV4fQcH4AUveEWBV68CvL6DA/CCF7yiwKtXAV7fwQF4wQteUeDVqwCv7+AAvOAFryjw6lWA13dwAF7wglcUePUqwOs7OAAveMErCrx6FeD1HRyAF7zgFQVevQrw+g4OwAte8IoCr14FeH0HB+AFL3hFgVevAry+gwPwghe8osCrVwFe38EBeMELXlGXDt5pW7W69ZKYqtUkp+u13r9uPP6eV83NJpndCMWDm4Uz0b+z/TdRc5I7XqpWSXC4ohyfWD/gPWdrrma9JKZKJcnpWtj7143H3/OqmQtJZjeq4sHNqlPRv7P9N5mfkdzxUnOTCQ5PKscn1g947X8I8bHBd3DAxwbwglcUePUqwOs7OAAveMErCrx6FeD1HRyAF7zgFQVevQrw+g4OwAte8IoCr15FH+L9uYvr6SEDvMbgqNPgBS94BYFXrwK8MYOjToMXvOAVBF69CvDGDI46DV7wglcQePUqwBszOOo0eMELXkHg1asAb8zgqNPgBS94BYFXrwK8MYOjToMXvOAVBF69CvDGDI46DV7wglcQePUqwBszOOo0eMELXkHg1asAb8zgqNPgBS94BYFXrwK8MYOjToMXvOAVBF69CvDGDI46DV7wglcQePUqwBszOOo0eMELXkHg1asAb8zgqNPgBS94BYFXrwK8MYOjToMXvOAVBF69CvDGDI46DV6jCngXAm9cReL96xuaP+y4Vp2/9TfeOfgjpU78ya+94/ofNGW+fNMnwLsQeOMqEu8LlzX/wpq/Ub9/w6H/HLrqrLp23dP/8fGPNmX+3sP/C96FwBtXkXjnV+9XR9928uW3n1OqftVj83/7P0r983uaMndZJYIXvAV/5t36x+rLH1P/NLCq2cCDavbJ3Z+6ooX3e+BtB964CsV7+BenPvg19e33Lv6nC9d9eMehR1p4n0+Ed9vg4ODehVdHt9yyrwFeS+CNL4JZ46ovvP2MGnvbMaXe+N0fPv4LE0o9nBzv8FQY1lsv6ptenf3iM+C1BN74opzdetlg88c/veapp6//cP35ga//9MD7Lw8S4p0dXnp15C6lnrsfvJbAG18UtIMD32z+WLnt6l9df0qpne9996eOX/vRhHhPDm8d2jnRevXUiFKnPg9eS+CNLwraY++YsTr1xXt819n6yO7Wq2/tU2q89XX4zbVr147IBhWcHW9egyW/SV43W0T18x/fLDxq+acNpze0fnzyq82vvLc2X0yPjo5+f9pWrb70yli69ax5JJ0zdrypDDYvsQ9uXxjOJJmj5ux3G12tkuBwRVXdLuxN7OWB959JH++JseZHhIXPvUfuUepFyWdeY+n2P1tMQ6mckeAVDDYvcfu8Ely6HxsaY3Wh3Ti8r2wab+x9SKmxmfrG1xv3PQ1e+2DzEvAuJzUqwasObN64p6LU+mPqtds/t38evPbB5iXgXS5XvBHZVwFen8HtC8ELXvAKAq9eBXh9BrcvBC94wSuo0P+XyHqv5ntfDF7wXlyReOs9dx+CVwfeuMCrVwFen8HtC8HbGXg7Am9c4NWrAK/P4PaF4O0MvB2BNy7w6lWA12dw+0LwdraM9zsfufLGn4AXvJH1L96T73x5/u4/Ai94I+tfvA/fpNRP3g1e8EbWv3inJ5T61xvBC97I+hdvs39b/SJ4wRtZH+M984nf+mGURPBGJxhsXgLe5SR4q7+9rdH7HHhjEww2LwHvchK8j1wfIxG80QkGm5eAdzkJ3m0Dzd4DXvBG1r94YwNvdILB5iXgXQ68wjPgjQu8ehXg9RncvhC8nYG3I/DGBV69CvD6DG5fCN7OwNsReOMq9H/6Pt8z8OrAGxf/03e9CvD6DG5feKnirRsbasXHho7AGxd49SrA6zO4fSF4wQteQeDVqwCvz+D2heAFL3gFgVevArw+g9sXgrcn3j3vu/LTF1YyXvO9O1xiT3CzDvcGXh+8/3X1TydueAC84I2sf/EeuFepB/8cvOCNrH/xKjX++O/8e+vnb4IXvL3qZ7yP/+aHXm/9fB14wdurfsar1OjN4AVvZP2Ld2REqf/+gHpkzZpfWrPmJfCC16h/8T52zWTj9ltar/jKC96e9S9e9ZUPrv6zM+AFb2R9jDcuAd6qrUZj6ZWxdOtZ84jDGfO9O1xiT3CzDvcWdaY+l2SOqtnvNrqG/ZKYXGf3A17738d85Y0ZHHWGr7zgBa8g8OpVgDdmMHjB2xl4wQte8ApK+r8eDnsV/U15wQvergr9vg3ywAte8HauArwxg8EL3s7AC17wglcQeIPII+AFL3jBGxl49SrAGzMYvODtDLzgBS94BYE3iDwCXvCCF7yRgVevArwxg8EL3s7AC17wglcQeIPII+AFL3jBGxl49SrAGzMYvODtDLzgBS94BYE3iDwCXvCCF7yRgVevArwxg8G7YvDan615xrgiL7zOEL0Gty+Mw2u/NQOv1xcB8OpVgNdncPtC8ILX1Z1Dgps1l+E8BrzgdXXnkOBmzWU4jwEveF3dOSS4WXMZzmPAC15Xdw4JbtZchvMY8ILX1Z1Dgps1l+E8BrzgdXXnkOBmzWU4jwEveF3dOSS4WXMZzmPAC15Xdw4JbtZchvMY8ILX1Z1Dgps1l+E8BrzgdXXnkOBmzWU4jwEveF3dOSS4WXMZzmPAC15Xdw4JbtZchvMY8ILX1Z1Dgps1l+E8Bryp4n1py/D2txZebRscHNwLXvvNmstwHgPeNPGObxibH31g4eXwVBjWwWu/WXMZzmPAmybeZ+5T6q2h1qvZ4c5ft94keL0Gty8Eb5p4Zy8odWh769XJ4a1DOyeaL8Jjx46Nn7M1V1t6ZSzQuNbuwTzjgNc+xyHBzZrLcB5TPR+9Ufutzc/YltTj3pabm4z5i7YmVcXtwjzxNnt242utn47vOlsf2d188ebatWtHPH53Y4HGFXYP5hkHvPY5Dglu1lyBYIzDb2I/4rDH0heHd2rHHaeW/8PpDYqvvNabNZfhPIavvGniDe/cP7/46sRY85Pu8ude62cbPvN6DW5fyGfeNPEevnfx57GZVzaNN/Y+BF77zZrLcB4D3jTx7h9s9hml1h9TBzZv3FMBr/1mzWU4jwFvmnijst4keL0Gty8EL3hd3TkkuFlzGc5jwAteV3cOCW7WXIbzGPCC19WdQ4KbNZfhPAa84HV155DgZs1lOI8BL3hd3TkkuFlzGc5jwAteV3cOCW7WXIbzGPCC19WdQ4KbNZfhPAa84HV155DgZs1lOI8BL3hd3TkkuFlzGc5jwAteV3cOCW7WXIbzGPCC19WdQ4KbNZfhPAa84HV155DgZs1lOI8BL3hd3TkkuFlzGc5jwAteV3cOCW7WXIbzGPAWijcVD2YOVlM5IygVvCYz+90bY8ALXs/AG4DX7+FmdEYQeAPw+j3cjM4IAm8AXr+Hm9EZQeANwOv3cDM6Iwi8AXj9Hm5GZwSBNwCv38PN6Iwg8Abg9Xu4GZ0RBN4AvH4PN6MzgsAbgNfv4WZ0RhB4A/D6PdyMzggCbwBev4eb0RlB4A3A6/dwMzojCLwBeP0ebkZnBIE3AK/fw83ojCDwBuD1e7gZnREE3gC8fg83ozOCwBuA1+/hZnRGEHgD8Po93IzOCAJvAF6/h5vRGUHgDcDr93AzOiMIvAF4/R5uRmcEgTcAr9/DzeiMIPAG4PV7uBmdEQTeALx+DzejM4LAG4DX7+FmdEYQeAPw+j3cjM4IAm9QMrxhVA5PW3KmTHglS5HgNcao+kW/YP4mkc8tDBsxf82eMTvquj7AG/l3lsPTlpwpE17JUiR4jTF85QWvZ+ANwOv3cDM6Iwi8AXj9Hm5GZwSBNwCv38PN6Iwg8Abg9Xu4GZ0RBN4AvH4PN6MzgsAbgNfv4WZ0RhB4A/D6PdyMzggCbwDe1MsJb/+U7O+ANl4f70t5nAGvW+AFL3jLEnjBW9rAC97SBl7wljbwgre0gRe8pQ284C1t4AVvaQMveEsbeMFb2sAL3tIGXvCWNvCCt7SBF7ylDbzgLW3gBW9pAy94Sxt4wVvawAve0gZe8JY28IK3tIEXvKUNvOAtbeAFb2kDL3hLG3jBW9rAC97SBl7wljbwgre0gRe8pQ284C1t4AVvaQPvRR3dcsu+xkWvwNufgbe7+qZXZ7/4TPcr8PZp4O3uyF1KPXd/9yvw9mng7e6pEaVOfb7r1fTo6Oj3p6Ny2LHkjCTwOuDVT6FWWfjJOBL5qHUeZ/LE+619So0Pd70aX7du3T/O21LKeklmXbKzS3A6T7xPfrX59fbW7letrH+SVEOHP24im3L8t3r1LqwmOT09meR0fSbJ6ZmJJKeNfw+bVyvv38N25B6lXry/+xV4YwJvfHnirW98vXHf00qNzSy9Am9s4I0vT7zqtds/t7/5QWX9saVX4I0NvPHlijci+yrAKwi84AWvIPDqVYBXEHjBC15B4NWrAK8g8IIXvILAq1cBXkHgBS94BYFXrwK8gsALXvAKAq9eBXgFgRe84BV06eC19r1HM/hNHTvwVHGzv3G4uNlfO1LY6OrI8YImZ4H33r/I4Dd17C/vKW72+r8rbvbHvlHY6Km1TxQ0GbzpBd6cA296gTfnssB79q0MflPH3jpb3OzTk8XN/tlUYaMbb1QKmpwFXqJcAi+Vtgzwdn1jsxx7acvw9uYHlm2Dg4N7857dHlrEW390sNVkEe/72VAtv+ci3nr6eLu/sVl+jW8Ymx99QKnhqTCs5z18cWghb70RhuGrXyrifZ9YX1l+3IW89fTxdn9js/x65r7m/7k2pGaH8x+9NLSot67u+nEB7/srnxysLL/nQt56+nj1tzjLt9kLSh3ark4Obx3aOZHz7PbQot768w+qQt73JyvLj7uQt54+Xv0tznLv2Y2vqeO7ztZHduc8uD20oLde3xKoQt53C2/7PRfy1tPH2/2NzXJsascdpxZfnd5QwPjm0ILe+gs79C3kWgtv+z0X8tYz+Mzb9Y3N8iu8c+Gb+pwYUyrI+0tAe2hBb33PE6qY993C237Phbz1DP5pQ9c3Nsuvw/cu/PTKpvHG3odynt0eWsxbbwy9qYp53y287fdcyFvP4J/zdn1js/za3/rHnZ9R6sDmjXty/+8r20MLeetHP9t5C3nWwrv0not46/w3bFTawEulDbxU2sBLpQ28VNrAS6UNvFTawEulDbzpVh34weKLXzlY6H1cEoE33Wpf+NniC/BmH3gzCrzZB94UWvUPV1++7o07rrry7xc+Npy4+V3XPQbe7ANvCq36wHOHVv/y9uObLzvXxFtZ/QeHD7zv5w8WfVcrP/Cm0Kp/UeqvPqTUyYGjTbz7rjiv1HcHDhZ9Vys/8KbQqkNKfflmpSYX8N7ZfKWmwZt94E2hBbx/uIR3Wwtv7bKDRd/Vyg+8KdSN9+tXTCl1mK+82QfeFOrGW/n1m1544prLDxZ9Vys/8KZQN171oxvf9ZFvrzlY9F2t/MBLpQ28VNrAS6UNvFTawEulDbxU2sBLpQ28VNrAS6UNvFTawEul7f8B+4e7hxsRK5cAAAAASUVORK5CYII=)
qplot(mid, data = exam, geom = "density",
color = year, adjust = .6)
![](data:image/png;base64,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)
qplot(mid, ..density.., data = exam, geom = c("histogram", "density"),
color = year)
![](data:image/png;base64,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)
qplot(mid, data = exam, facets = year ~ .,
geom = c("histogram", "density"))
![](data:image/png;base64,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)
p <- ggplot(exam, aes(year, mid));
p + geom_boxplot(fill = "white", colour = "#3366FF")+ geom_boxplot(outlier.colour = "red", outlier.shape = 1);
![](data:image/png;base64,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)
# By default, outlier points match the colour of the box. Use
# outlier.colour to override
#p + geom_boxplot(outlier.colour = "red", outlier.shape = 1);
# Boxplots are automatically dodged when any aesthetic is a factor
p + geom_boxplot(aes(colour = year)) + geom_jitter(width = 0.2)
![](data:image/png;base64,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)
qplot(year, mid, data = exam, geom = c("boxplot", "jitter"),
fill = year, main = "Midterm Scores by 2 vs. 3+",
xlab = "Year", ylab = "Scores")
![](data:image/png;base64,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)
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