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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import pandas as pd"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/usr/local/Cellar/python/2.7.5/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/pytz/__init__.py:29: UserWarning: Module argparse was already imported from /usr/local/Cellar/python/2.7.5/Frameworks/Python.framework/Versions/2.7/lib/python2.7/argparse.pyc, but /usr/local/lib/python2.7/site-packages is being added to sys.path\n",
" from pkg_resources import resource_stream\n",
"/usr/local/Cellar/python/2.7.5/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/pytz/__init__.py:29: UserWarning: Module IPython was already imported from /Users/dsanders/development/ipython/IPython/__init__.pyc, but /usr/local/lib/python2.7/site-packages is being added to sys.path\n",
" from pkg_resources import resource_stream\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"datos = pd.read_excel(\"datos_mecanica_vectorial.xls\", 'Sheet1')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Los datos crudos del archivo original se ven as\u00ed:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"datos.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>semestre</th>\n",
" <th>grupo</th>\n",
" <th>profesor</th>\n",
" <th>matr</th>\n",
" <th>10</th>\n",
" <th>09</th>\n",
" <th>08</th>\n",
" <th>07</th>\n",
" <th>06</th>\n",
" <th>05</th>\n",
" <th>NP</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 20022</td>\n",
" <td> 8020</td>\n",
" <td> Profesor 7</td>\n",
" <td> 32</td>\n",
" <td> 1</td>\n",
" <td> 1</td>\n",
" <td> 6</td>\n",
" <td> 5</td>\n",
" <td> 0</td>\n",
" <td> 0</td>\n",
" <td> 19</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 20022</td>\n",
" <td> 8021</td>\n",
" <td> Profesor 52</td>\n",
" <td> 29</td>\n",
" <td> 1</td>\n",
" <td> 6</td>\n",
" <td> 4</td>\n",
" <td> 2</td>\n",
" <td> 2</td>\n",
" <td> 7</td>\n",
" <td> 7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 20022</td>\n",
" <td> 8022</td>\n",
" <td> Profesor 46</td>\n",
" <td> 34</td>\n",
" <td> 5</td>\n",
" <td> 5</td>\n",
" <td> 5</td>\n",
" <td> 5</td>\n",
" <td> 2</td>\n",
" <td> 12</td>\n",
" <td> 0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 20022</td>\n",
" <td> 8023</td>\n",
" <td> Profesor 33</td>\n",
" <td> 23</td>\n",
" <td> 0</td>\n",
" <td> 5</td>\n",
" <td> 4</td>\n",
" <td> 4</td>\n",
" <td> 4</td>\n",
" <td> 0</td>\n",
" <td> 6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 20022</td>\n",
" <td> 8032</td>\n",
" <td> Profesor 48</td>\n",
" <td> 10</td>\n",
" <td> 0</td>\n",
" <td> 1</td>\n",
" <td> 3</td>\n",
" <td> 2</td>\n",
" <td> 2</td>\n",
" <td> 2</td>\n",
" <td> 0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
" semestre grupo profesor matr 10 09 08 07 06 05 NP\n",
"0 20022 8020 Profesor 7 32 1 1 6 5 0 0 19\n",
"1 20022 8021 Profesor 52 29 1 6 4 2 2 7 7\n",
"2 20022 8022 Profesor 46 34 5 5 5 5 2 12 0\n",
"3 20022 8023 Profesor 33 23 0 5 4 4 4 0 6\n",
"4 20022 8032 Profesor 48 10 0 1 3 2 2 2 0"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Limpiar los datos"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"numero_profesor = [ int(profesor.split()[1]) for profesor in datos[\"profesor\"] ]\n",
"datos[\"profesor\"] = numero_profesor"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"semestres = [ str(int(semestre)) for semestre in datos[\"semestre\"] ]\n",
"datos[\"semestre\"] = semestres"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"par = [semestre[-1] for semestre in datos[\"semestre\"]]\n",
"year = [int(semestre[:-1]) for semestre in datos[\"semestre\"]]\n",
"\n",
"datos[\"par\"] = par\n",
"datos[\"year\"] = year"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Los datos limpios se ven como sigue; la columna \"`par`\" es 1 o 2 seg\u00fan el semestre"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"del datos[\"grupo\"]\n",
"datos.head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>semestre</th>\n",
" <th>profesor</th>\n",
" <th>matr</th>\n",
" <th>10</th>\n",
" <th>09</th>\n",
" <th>08</th>\n",
" <th>07</th>\n",
" <th>06</th>\n",
" <th>05</th>\n",
" <th>NP</th>\n",
" <th>par</th>\n",
" <th>year</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 20022</td>\n",
" <td> 7</td>\n",
" <td> 32</td>\n",
" <td> 1</td>\n",
" <td> 1</td>\n",
" <td> 6</td>\n",
" <td> 5</td>\n",
" <td> 0</td>\n",
" <td> 0</td>\n",
" <td> 19</td>\n",
" <td> 2</td>\n",
" <td> 2002</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 20022</td>\n",
" <td> 52</td>\n",
" <td> 29</td>\n",
" <td> 1</td>\n",
" <td> 6</td>\n",
" <td> 4</td>\n",
" <td> 2</td>\n",
" <td> 2</td>\n",
" <td> 7</td>\n",
" <td> 7</td>\n",
" <td> 2</td>\n",
" <td> 2002</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 20022</td>\n",
" <td> 46</td>\n",
" <td> 34</td>\n",
" <td> 5</td>\n",
" <td> 5</td>\n",
" <td> 5</td>\n",
" <td> 5</td>\n",
" <td> 2</td>\n",
" <td> 12</td>\n",
" <td> 0</td>\n",
" <td> 2</td>\n",
" <td> 2002</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 20022</td>\n",
" <td> 33</td>\n",
" <td> 23</td>\n",
" <td> 0</td>\n",
" <td> 5</td>\n",
" <td> 4</td>\n",
" <td> 4</td>\n",
" <td> 4</td>\n",
" <td> 0</td>\n",
" <td> 6</td>\n",
" <td> 2</td>\n",
" <td> 2002</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 20022</td>\n",
" <td> 48</td>\n",
" <td> 10</td>\n",
" <td> 0</td>\n",
" <td> 1</td>\n",
" <td> 3</td>\n",
" <td> 2</td>\n",
" <td> 2</td>\n",
" <td> 2</td>\n",
" <td> 0</td>\n",
" <td> 2</td>\n",
" <td> 2002</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
" semestre profesor matr 10 09 08 07 06 05 NP par year\n",
"0 20022 7 32 1 1 6 5 0 0 19 2 2002\n",
"1 20022 52 29 1 6 4 2 2 7 7 2 2002\n",
"2 20022 46 34 5 5 5 5 2 12 0 2 2002\n",
"3 20022 33 23 0 5 4 4 4 0 6 2 2002\n",
"4 20022 48 10 0 1 3 2 2 2 0 2 2002"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"An\u00e1lisis de los datos"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matriculaci\u00f3n total por a\u00f1o:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#totales = datos.groupby([\"par\", \"year\"]).sum()\n",
"totales = datos.groupby([\"year\"]).sum()\n",
"\n",
"totales['matr'].plot(marker=\"o\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1132f4dd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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uvBJmz4YhQ/zyI0VEwlLE9eS9Xhg8GC68EJ5+2g+BiYiEsYjryf/lL+B2wxNP\nhDqSukzuC5qcGyg/uzM9P1/Zqie/YQPMmQP//Gfzd4oUEYlktmnXfPml1YdfuNDaFlhEJBJERE++\nuhpuvBH69rVevyciEikioic/fTpUVsK0aaGO5OxM7guanBsoP7szPT9fNVrkv/32W4YPH05ycjIj\nR46kqqqKnJwcVq9ezaxZs/B6vQ2O+dPatbBoESxfDm1s9QRBRCT0Gm3XrFy5kltuuYXo6GiuvPJK\nhg4dSteuXRkzZgwLFiwgMTGRY8eOER0dXWcsMzOz/ola8SvHoUPQp49V4LVltIhEooC2awYNGkTb\ntm2JjY2lV69e7N27l9TUVABSUlIoKCigsLCw3pg/VFbCnXdCdrYKvIhIazVa5GNjYwHweDx069aN\nr7/+mvj4eAASEhJwu90cPXq0diw+Ph632+2XwCZOhA4drJdr24HJfUGTcwPlZ3em5+erZnW5V6xY\nwbRp0xgzZgzl5eUAlJWVkZSUhNfrrR0rLy8nKSnprD9nxIgRdO/eHYCOHTuSmppa++qumguVnp7O\nmjWwdKmLhQshOrr+34fjcVFRUVjFo2Md69iexy6Xi7y8PIDaeumLJqdQFhQU8Mtf/pKkpCSWLl1K\nRUUFo0ePZuHChcTFxQHUGWvXrh1Op7P+iZrZVzpwAPr1gzVrrP+KiESygPbkly9fztixY7n22mvp\n1asXJ06coLi4mPz8fEpKSnA6nTidzjpjWVlZrQ7G44Fhw6xWjQq8iIjvwmox1H33WStb8/MhKioY\nUfmPy+Wq/dXLNCbnBsrP7kzPz9c7+bCZef7qq9ac+M2b7VfgRUTCVVjcye/ZA//v/1lF/t+zMUVE\nBAO2NThxAoYOhVmzVOBFRPwtpEXe67X68FdeCaNGhTIS39VMgTKRybmB8rM70/PzVUh78i+8AFu2\nwKZN6sOLiARCyHryRUUwYACsXw+XXhqMCERE7MeWPflvvrHmw8+bpwIvIhJIQS/yXq/Vfx8wAO66\nK9hnDxyT+4Im5wbKz+5Mz89XQe/Jz5sHn38Or7wS7DOLiESeoPbkN270MmiQ9aD1wguDcVYREXuz\nVU/+2msf5Z571qvAi4gESVCLvMczg+XL36SgYH0wTxsUJvcFTc4NlJ/dmZ6fr4L+4HXfvpnMn782\n2KcVEYlIQe3Jg3Wq/v2n4nJNDcZpRURszVY9+RpxcdWhOK2ISMQJepFPTp5IdvaAYJ824EzuC5qc\nGyg/uzMReo6IAAAHJElEQVQ9P18FdZ68wzGZ7OwbGTgwLZinFRGJWGGxn7yIiDTMlj15EREJDhV5\nPzG5L2hybqD87M70/HylIi8iYjD15EVEwph68iIiclbNKvI7d+7k1KlTgY7F1kzuC5qcGyg/uzM9\nP181WeQLCwu5+uqrqaqqoqqqipycHFavXs2sWbPwer0NjkWioqKiUIcQMCbnBsrP7kzPz1dNFvl+\n/frxox/9CK/Xy6JFi+jWrRuDBw+mU6dO5Ofns3jx4npjkej48eOhDiFgTM4NlJ/dmZ6fr1rUk9+0\naROpqakApKSkUFBQQGFhYb0xEREJDy3a1uDo0aMkJCQAkJCQgNvtBiA+Pr72vzVjkebzzz8PdQgB\nY3JuoPzszvT8fNWiIt+5c2fKysoAKCsrIykpCa/XS3l5OQDl5eUkJSU1+Nnk5OR/bzdsrpdeeinU\nIQSMybmB8rM7k/NLTk726fMtKvIOh4Pt27fTt29fduzYQUZGBkCdMYfD0eBnP/vsM58CFRGRlmuy\nJ79582a++uor1q5di9PppLi4mPz8fEpKSnA6nfXGsrKyghG3iIg0Q9BWvIqISPBpxav4ZPPmzSxf\nvpwvvvgi1KFII0xf0Kj8zs7nIv/tt98yfPhwkpOTGTlyZLMXTJ35uXDV2vxqbNmyhbFjx4Ywg8b5\nkt9LL73EmjVruOuuu7jgggtCnEnDWpvfkSNHmD17NqtWrWL8+PFUVlaGOpV6mpMb1F3QCNhmAWNr\n8zOptkD9/Go0t7b4/GaotWvXsmTJEqKjo7nyyit57LHHahdHud1u8vPzOXbsWL2xmJiYOp/78MMP\nueqqq3wNx+9am19mZibHjx/H5XLh8XhCncZZtTa/fv368dRTT4X9asPW5vfFF1/Qs2dPBg0axIYN\nG9i5cye9e/cOdTp1NCe3zMzM2gWNNU5f1Hj694Wb1uZ35ufsXFsayg9oUW3x+U5+0KBBtG3bltjY\nWHr16sXevXubtWDqtttuq/O5zp07+xpKQLQ2P4CVK1cyZMiQkMXeHK3N769//SudO3fmsccew+Fw\nsH///lCmcVatza9///7k5uby7rvvEhsbW/v34aQ5uTWkoUWN4ai1+Z35OTvXlrNpSW3xucjHxsYC\n4PF46NatG19//XXt4qiaBVNHjx6tt2CqTZs2dT530UUX+RpKQLQ2v5UrV3L77beHLO7maml+NWP7\n9+9n7NixTJw4kVGjRvH444+HLIfGtPb69enTh1tvvZW7776bSy65hOjo8Ht81VhujS1MPH1RYzgv\nYGxtfmd+zo61pbH8XnvttRbVFr/9y12xYgXTpk2jc+fOtYujahZMnT525oKpFStWkJub668wAqal\n+S1ZsoRRo0Zxzz338M477/DUU0+FMvwmNTe/mrHzzjuv9rM9e/bk0KFDIYm7uVp6/d599106dOjA\n1q1befrpp9mxY0cow29UQ7k1tjDx9EWNjX1fuGhpfqd/zq61pbH88vLyWlRb/FLkCwoKuPnmm2nf\nvn3tgimgdsHUmWM1C6ZqPnfuueeG9eyM1uT3+uuvs2rVKhYuXMh1113HAw88EMoUGtWa/K6//nq2\nbdsGQGlpKSkpKSGLvyktzS8jI4MtW7bQo0cPunTpwsiRI8O2HdVYbmcuTKx5kNfU94WT1uR3+ufs\nXFvOll9La4vPRX758uWMHTuWa6+9ll69enHixIlGF0wdOnSIu+++u97nwrUv2NL87LYgrLX5ZWRk\nUFFRwcsvv8zGjRt5+OGHQ51Kg1qTn9PpJCsri3feeYfVq1dz/PhxbrrpplCnUk9TudX8Ozx9QSNg\nm3+vrc3PlNpytvxaSouhREQMFn5Pk0RExG9U5EVEDKYiLyJiMBV5ERGDqciLiBhMRV5ExGAq8iIi\nBlORFxExmIq8iIjBfN5PXiTc/fnPf2bdunUUFBTw5ptvUlpaSmVlJUeOHKGqqoqpU6eSm5vLVVdd\nxcqVK1m4cCGPP/44+/fvp6SkhDlz5nDZZZeFOg2RVtGdvBhv/PjxHDp0iMrKSkpKSti5cyfnnHMO\nPXr0YO/evXi9XhISErjpppsoLS3l8OHD/OQnP6FNmza88cYbKvBia7qTF+PFxsbidDpZunQpp06d\nYteuXUybNo1zzz2XO++8E4DU1FTWrFlDTEwM1dXVREdHk5iYGOLIRXynO3mJCPfeey+zZ88mNTWV\nCy64gLy8PADef/99Dh48yEMPPcRtt91GbGwsXq83bN97KtJSupOXiJCYmMitt97KNddcw09+8hOG\nDBnCqlWrGDlyJH369OHEiRNMmDCBDh068OKLL/LNN99QXFxMaWmp7ujF1lTkxXgnTpzA4/HQo0cP\nAC666KLaF57U2LNnTyhCEwk4FXkx3kMPPcTWrVt5++23Qx2KSNDppSEiIgbTg1cREYOpyIuIGExF\nXkTEYCryIiIGU5EXETHY/wcTltyuPOiR/AAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x112b3e690>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matr\u00edcula total separado en semestres (im)pares:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pares = datos[datos[\"par\"]==\"2\"].groupby(\"year\").sum()\n",
"impares = datos[datos[\"par\"]==\"1\"].groupby(\"year\").sum()\n",
"\n",
"impares[\"matr\"].plot(marker='o')\n",
"pares[\"matr\"].plot(marker='o')\n",
"\n",
"del pares[\"profesor\"]\n",
"del impares[\"profesor\"]\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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TWVm2/fCFkW59VP1iXLJkJgZDEKGhZlJTH/H6ejx4WU3+pws/8fTGpwFYM3QN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\nFdbM5uBjAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1131d6810>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calificaciones en semestres impares y pares; n\u00fameros crudos:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"percent_impares = impares.copy()\n",
"percent_pares = pares.copy()\n",
"\n",
"califs = [\"10\", \"09\", \"08\", \"07\", \"06\", \"05\", \"NP\"]\n",
"\n",
"for calif in califs:\n",
" percent_impares[calif] /= impares[\"matr\"]\n",
" percent_pares[calif] /= pares[\"matr\"]\n",
" \n",
"del percent_impares[\"matr\"]\n",
"del percent_pares[\"matr\"]\n",
"\n",
"del impares[\"matr\"]\n",
"del pares[\"matr\"]\n",
"\n",
"impares.plot(marker='o')\n",
"pares.plot(marker='o')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 11,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1134d1550>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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SFxGHIleBcBIEhAXQy1+3ik769KGpolPPnj1Zu3Yt69evJyYmpjxqWRT79+/H\nxcVFr1l0eRk7dixbtmzhnXfeISIiQqdri/LJREREEBQUZCQJJRLboFwGfs+ePfzzzz8888wz1K9f\n36ACJaoSWR2+muGp9wp2RKeqM0Nqa6D17UNTRaeffvqJsLAwjh07prUuloy27hlj5NtWKBQsWbKE\ndu3a0bt3bwZpkeXzfn+7IcMtbT2fuNTv8UZnF83333/P+vXrCQoKok6dOkybNo24uDg+/vhjgywk\nxkXElTDMAMNTh7M+UvuKTvr2oamiU3h4OM7OzixbtoxevXoZJRrElJja//4g1apVY/Xq1YwZM4az\nZ88+9NyrV6/y/PPPs3//fvbs2SMXUyUSLdHJwKelpfHVV18VV2tZvHgxnp6eBAQE4Obmxrp16/QW\nSJGruaJT5qZMkhRJWj1uJmiu6KRtSSdNFZ0CAgJ44YUXeP/999m8eTPbtm0jLi5OV/UsgkuXLhXf\ngT0KY/o4n376aSZOnEhwcDD5+fkazzGkv10Ttu7Dlfo93uhk4FevXo27uzsfffQRSqWS33//vXg2\n1bZtW4PUtBROmu8CXJWu+ApfrR5V/apq7lzL3EeaKjpVqFCheFZvb29P7969+fPPP3XSzVJQqVT4\n+flZRJHpt99+m4oVKzJz5sxSz8n4dolEP3T6xpw6dYpx48bxwgsv0KRJE5YsWUKVKlUA9Sw3PT1d\nb4ECwgKITo0u4WJZ6bWS4NBgk/WhqaJTw4YNS+hXqVIlKlWqpLVMlkR8fDxDhgzR6lxj+zjt7OxY\nsWIFLVu2ZOPGjVSuXJkKFSrg4uLC/v37jZ7ewNZ9uFK/xxudDLyrq2vx/82bN8fR0ZFbt24B6jqX\nHh4eZV4bEhJSnG+8WrVqZX5pixZBYyNjKSrHFBwarFMUjb59aKroNH36dAYNGoQQAoVCwfHjx5k8\nebLWMiUlJRV/GItuK81xnJOTQ0JCAiEhISVkM5c8AN999x0KhYI9e/YUy1ShQgWioqLw9vY2u3zy\nWB6b6jgpKYmoqCgAw9RnEDqwadMmMXnyZCGEEFu3bhWNGzcWixYtEkIIsXDhQrF8+XKN15U1jI7D\nm5TFixeLyMhI8eGHH4qff/5ZCCFEVFSUCA0NFQsXLhTz58/Xui9L0nPjxo2ie/fuWp+/detW4wnz\nL35+fgIo9VAqlUYf2xT6mROpn3Wjr+3QaQbv5+dHQkICK1as4Ny5c+zdu5cvv/ySdevWce7cOY1+\nVGtFU0VZ2kfMAAAgAElEQVSnkSNHMnLkSDNIYzjMHT2jCVkRSCIxDjIXjQmwFD2FEDRu3Jj4+Hha\ntWplbnGKkTU9JRLNyHTBEq05evQoCoWCp556ytyilEBWBJJIjIM08I8RRe4ZhULzXgNNFC0AGRN/\nf3/mzp2LUqnEx8cHpVLJ3LlzTVIRyBT6mROp3+ONDCx+jIiPj2fq1KnmFkMj/v7+ssSbRGJgpA/e\nBFiCnhkZGXh5eZGenm6SavcSiUR/pA9eohUbN26kV69e0rhLJI8R0sCXk7y8PG7eLCPnjQWyYcOG\ncoVH2rqPU+pn3di6fvoiffBlsGLFCrKyssjIyKBLly74+flx8uRJmjZtihCCGjVqPDILoqWQl5dH\nQkICc+fONbcoEonEhEgDr4GyCn788MMPXL9+HWdnZxwcHLCzs44boJ07d9K0aVNq166t87VF26lt\nFamfdWPr+umLRRr4xEQVcXERKBS5COFEQEAYvXrpFmGhTx+aCn788MMPLF26lOPHjxMSEoKPj4/O\nepkLS9y9KpFIjI/FTUETE1WsXh1OYGACgwdvIzAwgdWrw0lM1D4Vsb59aCr4ceDAAd58802uXbvG\ns88+y5IlS3TWzVzoY+Bt3ccp9bNubF0/fbE4Ax8XF8Hw4akl2oYPT2X9+kiT9aGp4Mft27f573//\ny/r161mwYAHvvfee2UMfteHvv/8mKyuLdu3amVsUiURiYizORaNQaE48lZm5iaQk7XZglh3col3y\nKk0FP+6vJDRmzBhmz57N5cuXqVWrllZ9movy7F69H1v3cUr9rBtb109fLM7AC+Gksd3VVYmvr3aJ\np2JilEDp5FXalnTSVPCjT58+Jc6pV68e1apV06o/cxIfH8+ECRPMLYZEIjEDFueiCQgIIzq6ZOKp\nlSu9GDRI+8RT+vYxZMgQdu7cCdwr+PHUU0+RlpYGqGvTPvXUUzg5af4xshRu3LjBnj176N27d7n7\nsHUfp9TPurF1/fTF4mbwRZEusbGRFJVjCg4O1SmKRt8+mjVrxpAhQ/jmm2/IzMzkgw8+YPfu3Uyd\nOpXQ0FBcXFyIjNR+TcBcJCQk0KNHD6stLSiRSPRD5qIxAebS85VXXqFr166MGzfO5GNLJBL90dd2\nSANvAsyhZ0FBAbVr12bfvn3Ur1/fpGNLJBLDIJONSTSye/du6tWrp7dxt3Ufp9TPurF1/fRFGngb\nRe5elUgk0kVjAsyhZ+vWrVm8eDFPP/20SceVSCSGQ7poJKU4ffo06enpdOrUydyiSCQSMyINvA0S\nHx9Pv379sLe317svW/dxSv2sG1vXT1+kgbdB4uPjGTBggLnFkEgkZkb64E2AKfXMysqiTp06nD9/\nnqpVq5pkTIlEYhykD94IrFmzBhcXF7766qvitrS0NIYMGUJgYCCvvvoqdnZ2jBs3jkmTJvHiiy9y\n8OBBM0p8jy1btvD0009L4y6RSECYgLKGKas9Pj5e+Pn5CR8fH+Hn5yfi4+N1HlPfPvr16yecnZ3F\nwYMHi9s2btwoNm/eLE6ePCkUCoU4c+aMEEKIH3/8UdSsWVMUFhZq7MtEL7MQQohXX31VfP311wbr\nb+vWrQbryxKR+lk3tq6fvrbD4nLRqFQqwsPDSU29l8+96H9/f+1yyRiij86dO+Pq6srw4cPZs2cP\nTk5OODurs1E+mHq3RYsWXLlyhczMTLNmmCwsLESlUjFp0iSzySCRSCwHi3PRRERElDDMoDbOuiT3\nMkQfAAsWLCA7O5u3335b4/PiX99YdHQ0PXv2NHv64L1791K9enW8vLwefbKW2Hq+bamfdWPr+umL\nxc3gc3M1F/zYtGlTuYtWFJGTo13BjyKqVq3KqlWr6NmzJ/369aNixYolnv/666+5e/culSpVIi4u\nTi/ZDIHcvSqRSO7H4mbwZeVYVyqVCCG0evj5+Wnso8jFogtPP/0006dPZ9SoUVy5cqXEcxMmTGDe\nvHl89tlnZp+9g3EMvK3HGUv9rBtb109fLM7Ah4WFlXIxeHl5ERqqfcEPQ/RxP5MnT6ZFixZMnDhR\n77sIY3H+/HlOnTpFt27dzC2KRCKxECzORVO0CBoZGUlOTg7Ozs6EhoZqvThqqD6uXbtW/L9CoWDl\nypW0bdsWUC9mAuTn52vdn7H55Zdf6Nu3Lw4Ohn1Lbd3HKfWzbmxdP32RG500sHLlSkJDQ/n2228J\nCgoqbo+Li8PNzY1t27YxY8YMJk+ezP/+979HumdMoefAgQMJCgoqIa9EIrFuZMEPK8DYet65c4da\ntWpx+vRp3NzcDNp3UlKSTc+SpH7Wja3rJ3eySti6dSvt2rUzuHGXSCTWjZzBmwBj6/mf//yHxo0b\nlxmvL5FIrBN9bYfFLbJKdEMIQXx8PJs2bTK3KBKJxMIol4tm7969jBs3joKCAqZNm0ZcXBwff/zx\nYzEbtzQOHTpEhQoVaNGihVH6t/U4Y6mfdWPr+umLzgb+xo0bJCUlkZOTw+LFi/H09CQgIAA3NzfW\nrVtnDBklD6Foc5OlxudLJBLzobOB/+mnnxgyZAgAu3fvxtvbG4C2bduiUqkMK53kkRg7PYEtRyiA\n1M/asXX99EUnH/yPP/7I4MGDuXnzJkIILl26hIuLCwAuLi6kp6eXeW1ISAiNGjUCoFq1anh7e1O9\nevXHYuZZtWrVEuFcRbeV+h4/+eSTJCcnI4QwSv/yWB7LY9MeJyUlERUVBVBsL/VBpyia/v374+jo\nyO3bt0lJSSEjI4OkpCQ6derE7t27+eabb1i5cmXpQWw8WuZ+42pKvv/+ezZs2MCPP/5otDHMpZup\nkPpZN7aun0mjaOLj4wE4c+YMM2bMoFevXhw4cIBOnTpx6NAhlEpluQWR6I7MHimRSB5GueLgT58+\nzQcffMDSpUuZNm0abdq04fDhw8ycOVOjy8XWZ/Dm4O7du9SsWZO///6bmjVrmlsciURiBKw6VYGk\n/GzZsoWpU6fy+++/m1sUiURiJGSqAgugaJHElJjKPWMO3UyJ1M+6sXX99EUaeCtECMGGDRuk/10i\nkTwU6aKxQlJSUvDz8+PMmTOPRZipRPK4Il00jyFFs3dp3CUSycOQBt4AmNoPaMrwSFv3cUr9rBtb\n109fpIG3Mq5du8b+/ft59tlnzS2KRCKxcKQP3opQqVRMmjSJ8+fP07FjR8LCwnSqMyuRSKwLmQ/+\nMUGlUhEeHk5qaioACQkJxf9LIy+RSDQhZ/B6oFKpiIiIID09nVq1apV7Rl1YWMiNGze4cuUKGRkZ\nZGRkFP9f9FelUnH16tVS1yqVSjZu3GgIdTRi67k+pH7Wja3rJ2fwZuLBGTVQ/H/v3r01Gumy/l67\ndg0XFxc8PDyoUaNGib916tShdevW7Nu3T6OBz8nJMZnOEonEupAz+HKiVCpJSEgo1W5nZ4eDg0MJ\nI63JcN//193dHUdHx3KNZ+wZvEQiMR9yBm8msrKyNLZ37dqVHTt2GDxGPSwsjNTU1BJ3DF5eXoSG\nhhp0HIlEYjtIA18OTp48yYEDBzQ+5+LiYpQNSEW+/cjISHJycnB2diY0NNToC6y27uO0Vf0SE1XE\nxUVw/nw69erVIiAgjF69bG8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bGzZM5uzZT9i1qwnNmo2hQYMJVKhQA4BCUcjZzLOljHjy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\nFFXgVVRUVFoo/w8ILH2ZRkRtQgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x113333990>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Tx+Nh/Pjx6NixIyZNmoQ9e/aAy+WCwWDAx8enwUVXgUCAO3fuIDIyEufOnUNi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\nRF5CQkKiBfP/AEwv1voI7wV7AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x113468f90>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Calificaciones por semestre como porcentaje:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"percent_impares.plot(marker='o')\n",
"percent_pares.plot(marker='o')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x113353c50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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FqkYBqp26v78/0tPThetq6kGrWwobRTmsW7cOGRkZ+PzzzxETE6O2PXGJnvgs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\n",
"text": [
"<matplotlib.figure.Figure at 0x113308e10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RR87n8+Hg4AAHBwd4eXnB3t5eKNvBwaFKjL1Fixa4f/8+UlJSVK46al2JZcci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\n6/teJK5I5GT3kziNdsJ9vnu1FbyRkQ3t22/gwoUJ9OgRzZrt20sSMu6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aKyhoUZVmxLEL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\n",
"text": [
"<matplotlib.figure.Figure at 0x113353c10>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Porcentajes dibujados (sin recalcular), sin NPs:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"del percent_impares[\"NP\"]\n",
"del percent_pares[\"NP\"]\n",
"\n",
"percent_impares.plot(marker='o')\n",
"percent_pares.plot(marker='o')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 13,
"text": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1134613d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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u3QoAqKmpgba2NpKTk3Ho0CGsX9+8bkdXrVb3zfVvkFqUip0v75RLTlTU8z/E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WAAAG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\nLB8ArLJnYWFh+QBglT0LCwvLB8D/A87ALv2mBu6nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11350a1d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ggAwJbp5uGDZGvkxVitQhKVPV4MGDcezYMZw8eRInTpxoSLdYpKCn1wT29l54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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x113464590>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"profes = datos.groupby(\"profesor\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"N\u00famero de veces que cada profesor ha impartido la materia:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"profes.count()[\"semestre\"]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"profesor\n",
"1 3\n",
"2 4\n",
"3 1\n",
"4 7\n",
"5 1\n",
"6 11\n",
"7 11\n",
"8 3\n",
"9 3\n",
"10 3\n",
"11 1\n",
"12 3\n",
"13 3\n",
"14 1\n",
"15 2\n",
"16 1\n",
"17 1\n",
"18 10\n",
"19 2\n",
"20 2\n",
"21 1\n",
"22 3\n",
"23 1\n",
"24 2\n",
"25 1\n",
"26 1\n",
"27 3\n",
"28 3\n",
"29 2\n",
"30 14\n",
"31 2\n",
"32 6\n",
"33 5\n",
"34 6\n",
"35 1\n",
"36 16\n",
"37 1\n",
"38 1\n",
"39 1\n",
"40 1\n",
"41 10\n",
"42 2\n",
"43 1\n",
"44 5\n",
"45 2\n",
"46 6\n",
"47 6\n",
"48 10\n",
"49 1\n",
"50 2\n",
"51 6\n",
"52 15\n",
"53 1\n",
"Name: semestre, Length: 53, dtype: int64"
]
}
],
"prompt_number": 15
}
],
"metadata": {}
}
]
}
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