{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ch05-chart-types-title",
   "metadata": {},
   "source": [
    "# Pandas Chart Types"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ch05-shared-setup",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:14.939735Z",
     "iopub.status.busy": "2026-08-31T18:39:14.939546Z",
     "iopub.status.idle": "2026-08-31T18:39:20.283731Z",
     "shell.execute_reply": "2026-08-31T18:39:20.283413Z"
    },
    "tags": [
     "hide-input",
     "thebe-init",
     "runnable"
    ]
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "np.random.seed(42)\n",
    "df1 = pd.DataFrame({\n",
    "    'A': np.arange(100),\n",
    "    'B': np.random.randn(100).cumsum(),\n",
    "    'C': np.random.randn(100).cumsum(),\n",
    "})\n",
    "df2 = pd.DataFrame({\n",
    "    'a': np.random.rand(50),\n",
    "    'b': np.random.rand(50),\n",
    "    'c': np.random.rand(50),\n",
    "})\n",
    "df = pd.DataFrame(np.random.randn(1000, 2), columns=['a', 'b'])\n",
    "tips = sns.load_dataset('tips')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5298e58e",
   "metadata": {},
   "source": [
    "```{contents}\n",
    ":local:\n",
    ":depth: 2\n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ch05-chart-types-parent",
   "metadata": {},
   "source": [
    "## Common Chart Types"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "10946545",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.285835Z",
     "iopub.status.busy": "2026-08-31T18:39:20.285717Z",
     "iopub.status.idle": "2026-08-31T18:39:20.287759Z",
     "shell.execute_reply": "2026-08-31T18:39:20.287462Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "if \"np\" not in globals():\n",
    "    import numpy as np\n",
    "if \"pd\" not in globals():\n",
    "    import pandas as pd\n",
    "if \"plt\" not in globals():\n",
    "    import matplotlib.pyplot as plt\n",
    "if \"sns\" not in globals():\n",
    "    import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc1d3517",
   "metadata": {},
   "source": [
    "### Line Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ef68cf3c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.289741Z",
     "iopub.status.busy": "2026-08-31T18:39:20.289571Z",
     "iopub.status.idle": "2026-08-31T18:39:20.554585Z",
     "shell.execute_reply": "2026-08-31T18:39:20.554071Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ODkJ9YNM3ERHRNUJ66oq9ZUJanMvMU9tlf31gUBMRERlp7paatLHFMHTbZL8cV9cY1EREROVIn3T5mrQhiWfZL8fVNQY1ERFROTJwrDaPux4MaiIionI8XZxQHTIKvK5x1DcREZGBnSfS8eLaeFRGJmcF+pZO1aprDGoiIiIARcUlWPjLMby3+Tg0DWjq7Ybz2fkqlA2HjOlmUMsUrfqYT82mbyIisntnLuVi7Ic7sXBTaUjf1TUUm57ui8XjOquasyG5/8G4zvU2j5o1aiIismvfH0jFtK8PIDuvCN5uznj9jhgM7xCs9kkYD4wM5JXJiIiI6ltuQRFeW38IX+xOVvc7hTfEwrs7IczPs8xxEsrdW/qb6SwZ1EREZIcOnc3CY1/sReKFHMhKk//s2xL/GtAaLk6W1yPMoCYiIruhaRo+3XEKb/xwGAXFJWjq44Z5d3VEj4jGsFQMaiIisgsZOQV4dnUcNv6Vpu4PaBeAt0Z3gF8DV1gyBjUREdm8Hccv4l9f7Udadj5cnR3xwpB2GN+9GRyk3dvCMaiJiMhmFRaXYP7Go/j3r4lq2lXLJg3w3j2dERnsA2vBoCYiIpuUnJGLx77Yh/3Jl9X9e24Mw0tDI+Hpal3RZ11nS0REVA3r4s7iha8PIju/CD7uznjzzvYYElM/FyipbQxqIiKyGTn5RXhlXQJW/XlG3e/arBHm390RoY3Kzo22JgxqIiKyCfEpmXj8i304cTEHcuGwR/u3wuP9I+BsgXOja4JBTUREVj83+uPtJzFnw2EUFmsI8nXHvLEd0a2F+a4mVpsY1EREZLUuXsnH06vi8OuRC+r+rVFNMefO9mjoadlzo2uCQU1ERFZp27ELePKrOBXWbs6OakT3fTeFW8Xc6JpgUBMRkVUpKCrB3J+PYMmWE+p+66Zeam50m0Bv2CIGNRERWY2k9Bw1YCzuTKa6P65bOF68PRLuLk6wVQxqIiKyOMUlWoU1oL+TudHfHEROQTF8PVxUX/Tg6EDYOgY1ERFZlA3xqZj53SGkZubpt3m4OOJqYYn6XUJ7/tiOCG7oAXvAoCYiIosK6akr9kIrt/3q3yE9rH0Q5t/dCU4yUdpOWPcscCIisqnmbqlJlw9pQ38kXYK9YVATEZFFkD5pw+ZuY1Iz89Rx9oRBTUREFkEGjtXmcbaCQU1ERGaXV1iM7w+kVuvYAG932JMaB3Xz5s3Rpk0bdOzYUd2++uortf3YsWPo0aMHWrdujdjYWCQkJOj/xtR9RERk+w6fy8Lw97fjp0PnKz3OAVDX8ZZR3/bEpBq1hPP+/fvVbezYsWrblClTMHnyZBw9ehTPPfccHnjgAf3xpu4jIiLbXkzj0x2nMPz933D0/BU09nLDY/0jVCCXH9Pt8PfPGcMi7WrEt3DQpKRqWKNeu3atqk3rpKWlISIiAhkZGXB2dlaFHxQUhO3bt8PHx8ekfbK9KllZWfD19UVmZqZ6LCIisg7pV/Lx7OoD+OVwmrrfr00TvD2mgwprY/Oog3zdVUgPjg6CLahJfpk0j3r8+PEqVG+88Ua8+eabSE5OVgErYSvkgujh4eE4ffq0OhFT9hkL6vz8fHUzfKFERGRdth69gKdWxeFCdj5cnR3x/G1tMaFHc/1iGhLGAyMDK1yZzMnOatImN31v3boVBw4cwN69e9G4cWNMmDAB9WX27Nkq3HW3sLCwentuIiK6PvlFxZi1/hDG/99uFdKymMa6R3vigZ43VFjxSkK5e0t/jOgYon7aa0ib1PRtKDU1VQ0CS0xMrJemb2M1aglrNn0TEVm242lX1GIah1JLW0LHd2+G54e0s+nFNGqr6btGNeqcnBxcvnxZf/+LL75Ap06dEBAQgM6dO2PFihVq+5o1axAaGqrC1tR9xri5uakXZHgjIiLLJRWwL3efxrD3tquQbuTpgqXju+LVEdF2G9J1WqM+ceIE7rzzThQXF6vCb9GiBRYsWKAGmB05ckSN2E5PT1cBumzZMsTExKi/M3VfVTiYjIjIcl3OLcC0NQexIeGcut8rojHm3tUBTX3sax709ebXdTV9mxuDmojIMv2emI4nv9qPc1l5cHFywDO3tsGkXi3gaMd9zfU66puIiMiYwuISzN94FP/+NRFSDWzRuAEW3N0JMaG+5j41q8WgJiKiWpGUnoPHv9yPuOTSsUxju4bh5WGRaODGqLkeLD0iIrou0oP6zb4UvLQ2HjkFxfBxd8abd7bHkBjbuDiJuTGoiYjIZFl5hXjxm3isizur7suFSeaP7Yjghh7mPjWbwaAmIiKT/JmUgSe+3I8zl66qC5I8OaAVpvaNsOuLk9QFBjUREdVIUXEJFm1OxMJNx1BcoiHMz0MNGOsc3sjcp2aTGNRERFRtZy7lqmlXe05dUvdHdQrBqyOi4O3uYu5Ts1kMaiIiqpb1B85i+tcHkZ1XBC83Z7w2MgqjOoWa+7RsHoOaiIgqlZNfhFfWJWDVn2fU/U7hDbFgbCeE+3ua+9TsAoOaiIhUX7OxZSVlTvQTX+7DqfRcyBixR/tF4LFbWsHFqcaLL5KJGNRERHZuQ3wqZn53CKmZefptgT7u6NbCXzV3F5VoCPZ1x7yxHXFTC3+znqs9YlATEdl5SE9dsRflF32Qa3Sv3Z+ifh8SE4jZo9rD15MDxsyBQU1EZMfN3VKTrmxlJl8PFyy8uxOc2dRtNix5IiI7JX3Shs3dxmReLdRPxSLzYI2aiMhOZOYWIuFsJhLOZuFQahZ+T7xYrb+TAWZkPgxqIiIbXCRD+pgTUrJUKOvCOeXyVZMeT0aBk/kwqImILGg6lCmPc/JijgrjQ3/XlCWUM3IKjB4f2sgDUcE+iAr2RbtAb7ywNh4XsvON9lPL2QT6lp4bmQ+DmojIAqZDBfm6Y8awSAyOvvbSkPlFxTh67oq+hiw//0rNxtXC4grHSuhHNPFSoRz5dzDLTxkcZqhY09Sobwllw7DWfWWQc+IiG+bloEkbiZXKysqCr68vMjMz4ePjY+7TISIyeTqULgo/GNdZhbUsHyk1ZF0gy+/H066oOc3lubs4ol2QhLEPIoN81c82gd5wd3Gq0y8OVD/5xaAmIqon0kzda86mSkdaS+g28XJD8iXj/ckNPV30TdelP31wQ2Ov66711lZTPNV+frHpm4jIgqZD5RWW6EM6pKHH383W/2u6liuEOTjUfoBKKHdvyauOWSIGNRFRPanuNKdH+rXEpF4t0KiBa52fE1k+XvCEiKieFBaVVOu4XhFNGNKkxxo1EVEdyy0owsJfjmPp1sRKj+N0KDKGQU1EVEdkrO5Ph85j5roEnP27b7p9iC8OpGRyOhRVG4OaiKgOnE7PxSvfJWDT4TT9wLBXhkdhYGRT48tKcjoUXQODmoioFslFST7ccgLvbz6O/KISuDg5YPLNLfBov1bwcC2d1yxhPDAykNOhqFoY1EREtWT7sYt4+dt4nLiYo+73aOmPV0dEIyLAq8KxnA5F1cWgJiK6Tuez8vDa+kNYfyBV3W/i7YYXb2+H4R2C62TOM9kXBjURkYmKikuw/PckvPvzUVzJL4K0XI/v3hz/b1Br+LiXvaY2kakY1EREJvgz6RJeXBuPv1Kz1P2OYQ0xa2Q0okN8zX1qZGMY1ERENXAppwBzNhzGl3uS1X1ZjWrabW0xtmsYHDkYjOoAg5qIqBpKSjSs+jMZb/54GJdyC9W2u7qG4rnBbeHv5Wbu0yMbxqAmIqqCLDH54tqD2Hv6srrfNtBbNXN3bc4riFHdY1ATEV1Ddl4h5v18DJ/sOAlZBrqBqxOeHNgaE3o0h4sTl0qg+sGgJiIyculPmWolU67SsvPVtttjgvDi0HYI8vUw9+mRnTH5K+GyZcvU/MC1a9eq+2lpaRg8eDBatWqF6OhobN26VX+sqfuIiOrbiQtXcP/Hu/HYF/tUSDf398SnD96IRfd1ZkiT9dSoT506haVLl6Jbt276bdOmTVP3N2zYgD179mDUqFE4efIkXFxcTN5HRFRf8gqLsWjzcSzZcgIFxSVwdXbEI30jMKVPC7i7lF76k8gqgrqkpASTJk3Ce++9h6eeekq/feXKlTh+/Lj6PTY2FsHBwdiyZQsGDBhg8j4iotpSXKJd89ramw6fx4x1CUjOuKru92ndBK+OiEIz/wZmPmsiE4L63XffRc+ePdGlSxf9tvT0dBQWFiIwMFC/rXnz5jh9+rTJ+4zJz89XN52srNILDRARVcbYalVBvu54tH8Eth69gP8mnNdvkxWsbo0K5KU/yTqDOj4+HmvWrDFbP/Ls2bMxc+ZMszw3EVlvSE9dsbfM2s9CQvuFb+LV786ODnio1w14/JZWaODGMbZkxYPJtm3bpvqnZeCX1Hx37tyJyZMnq+ZrZ2dnnDt3Tn+sHBceHg5/f3+T9hkzffp0ZGZm6m/JyaVXBiIiulZzt9Sky4e0IVcnB6x7tBemD2nHkCbrD+qpU6ciNTVVhancZBDYhx9+qLaPGTMGixcvVsfJoLCUlBT06dNH3Td1X3lubm7w8fEpcyMiuhbpkzZs7jamoFhD5tXSK40RWaJa+/o4Z84c3H///aq27erqihUrVuhHbpu6j4joesjAsdo8jsgcHDSZ2W+lZDCZr6+vagZn7ZqIytt0OA0PfrKnyuO++Ec3dG/pXy/nRFTT/GKHDBHZpB3HL+LFbw5WeoyM6w70LZ2qRWSpGNREZFNy8ovUMpTLf09S9/0buCI9p0CFsmHzoW7ylUzH0s2nJrJEDGoishm7TqTjmdUHcDojV92/76ZwNZp7+7ELFeZRS01aQnpwdJAZz5ioagxqIrJ6VwuK8dZ/D2PZb6fU/WBfd8wZ3R69WzVR9yWMB0YGXvPKZESWjEFNRFbtj1MZeHpVHE6ll9ai744Nwwu3t4O3e9nZIxLKHDBG1ohBTURWu4jG3J+O4KPtJyFzVwJ93PHmnTHo2ybA3KdGVKsY1ERkdfaevqRq0Scu5Kj7o7uE4qWhkfD14DUYyPYwqInIqmrR8zYexdKtJ1CiAQHebph9RwxuadfU3KdGVGcY1ERkFeKSL+OpVXE4nnZF3R/VKUSN2m7o6WruUyOqUwxqIrJo+UXFWPjLMSzeckItstHYyw1vjIrGoKj/LY9LZMsY1ERkseJTMvHUyjgcOZ+t7g/vEIyZw6PQqAFr0WQ/GNREZHEKikrw/ubjWLT5uKpFy9XFZo2Mxm0xvDgJ2R8GNRFZlENns1Rf9F+pWer+kJhAvDYiGv5ebuY+NSKzYFATkUUoLC7BB78mqv7oohINjTxd8NrIaAxtH2zuUyMyKwY1EZndkXPZeGrVfsSnlNaiB0U2xeujYtDEm7VoIgY1EZlNUXEJlmw9gfkbj6KwWFMXLHl1RJQaNObgwOtwEwkGNRGZxbHz2erqYnFnMtX9Ae0C8MaoGAT4uJv71IgsCoOaiOqMjNguv2KVWLrtBN79+aga3e3t7oxXhkXhjs4hrEUTGcGgJqI6sSE+tcIa0E28XOHl7oyTF0tXuurbpgnevKO9WhuaiIxjUBNRnYT01BV7oZXbfuFKgbq5Ozvi1RHRGNM1lLVooio4VnUAEVFNm7ulJl0+pA35eLjgzi4MaaLqYFATUa2SPmnD5m5j0rLz1XFEVDUGNRHVKhk4VpvHEdk7BjUR1RpN0/BXaukCGlWRUeBEVDUOJiOiWnHxSj6e//ogfjp0vtLjpFdaRnnrpmoRUeVYoyai67Yh/hxunbdVhbSLkwNGdAxWgVx+qJju/oxhkXBy5EAyoupgjZqITJZ5tRAz1yXg630p6n7bQG+8e1dHRAb74LbowArzqKUmLSE9OJrLVRJVF4OaiEyy7dgFPLv6gApiqRxP6dMS/xrQCm7OTmq/hPHAyMAKVyZjTZqoZhjURFQjuQVFmP3DYXy2M0ndb+7vibl3dUCXZhX7nCWUu7f0N8NZEtkOBjURVdufSRl4amUcTqWXXgJ0fPdmmHZbW3i68qOEqK7w/y4iqlJ+UTHmbzyGJVsSUaIBgT7ueHtMe/Ru1cTcp0Zk8xjURFSpQ2ez8P9W7sfhc6Xzo+/oFIIZw6PU2tFEVPcY1ERkVFFxCZZsPYH5G4+isFiDXwNXvDEqmiO2ieoZg5qIKjhx4QqeWhWHfacvq/sDI5vijVExaOLtZu5TI7I7DGoi0isp0dRo7tk//oW8whJ4uznjleFRuKNzCFe6IjITBjURKWcvX8Uzq+Pw2/F0db9nhD/eGt0BIQ09zH1qRHatxpcQHTRoENq3b4+OHTuid+/e2Ldvn9p+7Ngx9OjRA61bt0ZsbCwSEhL0f2PqPiKqn4U0Vv95Rl0CVELa3cURM4dH4bMHb2JIE1kCrYYuXbqk//3rr7/W2rdvr37v16+ftmzZMvX7qlWrtK5du+qPM3VfVTIzM2VtevWTiGruQnae9o9P92jNnluvbiMXbdcS07LNfVpENi+zBvnlIP8xNeQ/+eQTzJ8/Hz/99BMiIiKQkZEBZ2dn9Q09KCgI27dvh4+Pj0n7ZHtVsrKy4Ovri8zMTPVYRFSzhTRe+OYg0nMK1EIa/xrQGlNubgFnJ67VQ1TXapJfJvVRjx8/Hps3b1a///DDD0hOTlYBK2ErZNBJeHg4Tp8+rU7ElH3Ggjo/P1/dDF8oEdXeQhpEZHlM+uq8fPlyFc6zZs3Cc889h/oye/ZsFe66W1hYWL09N5GtLKQxeP5WFdKyNsbUvi3x7aM9GdJEFuy6mr6Fh4cHTp06hVatWtV507exGrWENZu+iUoVl2hGV6uShTTe/PEwlv9e9UIaRGTFTd+XL19Gbm4ugoOD1f21a9fC398fAQEB6Ny5M1asWIEHHngAa9asQWhoqD5sTd1Xnpubm7oRUUUb4lMrrP8c5OuOcd2aYdUfyVxIg8hK1ahGnZSUhDFjxuDq1atwdHREkyZN8M4776ipWkeOHFFhm56err4dLFu2DDExMervTN1XFQ4mI/pfSE9dsReV/c8sof3WaC6kQWQJapJf1930bU4MaqLS5u5eczaVqUmX5+HihN+m9VfX6yYi68ovzsMgsnLSJ11ZSIurhcU48vfqV0RkXdhJRWSFMnMLEXfmMuKSL+O/Ceeq9TcywIyIrA+DmsjC5RUW41BqlgpldTuTiZMXc2r8ODIKnIisD4OayMJWr0q8cAX7VSBLMGfir9QsFJVUHEoiU6w6hDVETIgvPvg1ERk5BUYHk8maV4G+pVO1iMj6MKiJ6mDecnWdy8wzCOXLOHAmE1fyiyoc59/AFR3DGqpgllv7EF80MhgYFtrIQ436lmc2DGvdmcwYFlmj8yIiy8GgJqrlecsSioOjgyocn5VXiINnMkuD+e9wPp/1vwv4GI7Qjgn1LQ3mUAlmX7WKVWXrQcvzfTCuc4XzCazkfIjIOnB6FlEtzlvWRenCezoi3K+BCmNdMCdeqNivLLXc1k290THs72AOa4iIJl4mL4xxvTV8IrKRRTmI7JmEodRcjX3D1W177Iv9Rv82zM9D1ZJ1oRwV7FOrVwiTUO7e0r/WHo+IzI9BTVQH85aFl5sTujb30wdz+1Bf+HvxErhEVDMMaqIaklHY1fH6yBiM6BRS5+dDRLaNQU1UzWlT249fxKc7TuGXw2nV+psAH85bJqLrx6AmqkR2XiHW/HkGy3cm4YTBYDBXZ0cUFJUY/RvOWyai2sSgJjJCLjqyfMcprNmbop/X7OXmjNFdQtUykUfPZ6tR34LzlomoLjGoiQxGc28+nIZPfz+Fbccu6rdHBHhhQvdmGNU5VIW1aNHEi/OWiaheMKjJ7skCFyv/SMbynaeQnHFVbZNriwxo1xQTujdHzwh/oxcbkTAeGBnIectEVKcY1GS3Dp/LUoPDvtmXgrzC0v5mXw8X3B0bhnHdmiHMz7PKx+C8ZSKqawxqsitFxSX4+dB5fLLjFHadzNBvbxvojQd6NMeIjiHwcHUy6zkSERliUJNdSL+Sjy/3JGPFziR9n7LUhgdHBWJCj+aIbd6o0mtpExGZC4OabNqBM5fx6Y4kfHfgrH46laxEdc+N4bivWziCfD3MfYpERJViUJPVqWrhCQnkH+NTVfP2vtOX9ds7hPqq2vOQmCC4u7B5m4isA4OabGZpyU7hjfD5rtP4z67TuHildPlIFycH3B4TpAJa9hMRWRsGNVn90pIS2g+v2AupVJf8vTPA2w333dQM99wUpmrdRETWikFNVr+0pI6EdJfwhnig5w0YHB0IFxPXdCYisiQMarKppSWfvrUt5zUTkU1hlYMsXmFxCTYeOletY2WAGRGRLWGNmizW2ctX1dznr/acxvms0sFhVWF/NBHZGgY1Wdy6z1uPXVCjt3/567x+cJifpwvyi0uQk19s9O+4tCQR2SoGNVkEmU4lC2N8sfu0fmEMcdMNfuq627dGBWLT4fNcWpKI7A6DmsxG0zR1vW2pPcvUq8Li0vj1cXfGnV1Ccd9N4YgI8C6zWhWXliQie8OgJrMsK/n1vjMqoI+nXdFv7xDWEONuCsfQ9sHXXBiDS0sSkb1hUFO91Z7jzmTi852l193WLSvp6eqkVqyS2nN0iG+1HotLSxKRPWFQU53KyS/Curiz+HxXEuJTsvTb2zT1xrhu4RjZKQTe7i5mPUciIkvGoKY6cfhcFj7feRrf7EvBlfwitc3V2RFDY4LUqlWdw7msJBFRdTCoqdbkFRarVaskoP9IuqTf3tzfU113WwaI+TVwNes5EhFZGwY1Xfeykicv5qhpVav+SMal3EK1zdnRAYOimqqA7t7CH44c7EVEZBIGNZm0rOQLt7eDk4ODGrm9/fhF/b5gX3fcc2M4xsaGIcCHVwkjIrpeDGoyaVnJR/+zT39fupr7tm6ias/92gZwqhQRkbkW5cjLy8PIkSPRunVrdOjQAQMHDsTx48fVvrS0NAwePBitWrVCdHQ0tm7dqv87U/eRZS8rKXk8tW8LbH2mH5ZNvBEDIpsypImIzL161uTJk3HkyBHExcVhxIgRmDRpkto+bdo0dOvWDceOHcOyZctw7733orCw8Lr2kWUvKynX4b65VQDC/Dzr7byIiOxNjYLa3d0dQ4YM0U+rkYA9deqU+n3lypV4+OGH1e+xsbEIDg7Gli1brmsfmW/uswwMqw4uK0lEZMF91AsWLFC16vT0dFULDgwM1O9r3rw5Tp8+bfI+Y/Lz89VNJyvrfxfQoNpZGGP5jlP49PckZF6tXqsGl5UkIrLQoH7jjTdU//Qvv/yCq1f/t9pRXZo9ezZmzpxZL89lT06n52LpthNq9ar8otJLezbz88Cl3CJk5xUa7afmspJERBbaRy3eeecdfP311/jxxx/h6ekJf39/ODs749y5c/pjpEk8PDzc5H3GTJ8+HZmZmfpbcnL1mmfJuPiUTDz6n73o+85mfLYzSYV0h1BffHBfZ2x6uh/eGh2jjis/PIzLShIRWXBQv/vuu/jiiy/w888/o2HDhvrtY8aMweLFi9Xve/bsQUpKCvr06XNd+8pzc3ODj49PmRvVfHGMbccuYNxHuzD0ve1YfyBVDQrr07oJvvhHN6x9pCduiwlSAaxbVlJqzobkvmznspJERHXPQZNP7mo6c+YMwsLC0KJFC3h7e+vDc9euXTh//jzuv/9+nDx5Eq6urnj//ffRr18/dYyp+6oifdS+vr6qds3QrlxRcQl+iD+HJVsSkXC2tG9fwnhY+yBM6dMS7YJ8TL4yGRER1UxN8qtGQW1pGNRVu1pQjFV/Jqs+6OSM0rEEHi5O6sphk3rfgNBGnFpFRGTJ+cUrk9moSzkFWP57Ej79/RQycgrUNlkQY0L35hjfvRkacXEMIiKrwKC2MWcu5eKjbSfx1Z5kXC0sVtvC/Dzwj94tMKZLGDxcncx9ikREVAMMahvxV2oWPtx6Auvizqo+ZREV7KP6n4dEB8LZyaQB/kREZGYMaismwwt2nsjAkq2J+PXIBf32XhGNMaVPC/VTdxU5IiKyTgxqC1TVKGvZ/1PCOSzeegJxyZfVNtk9JCYIU25uiZhQXzOePRER1SYGtZWs/ywXF+nbJgBf701RI7hPXsxR+9ycHXFX19IR3M38G5jxzImIqC4wqK1g/edzmXl4eMVeeLs7IzuvSG3z9XDBhO7NML5HczT2cjPL+RIRUd1jUFvB+s+6bRLSQT5umHRzS9wdG4YGbvznIyKydfyktxC7T6ZXuf6zeHtMB/Rq1aRezomIiMyPQW0GJSUakjJy1aIY6nY2E3uTSgeFVSX974uXEBGRfWBQ10OTtgz80oXywZRMHDqbhez80r7mmuL6z0RE9oVBXYuLTsjCF4kXcvSBnHC2NJRzCkqvEGbI1dlRLYQRE+KD6GBf9fuUz/7E+aw8rv9MRER6dh/UlU2HqmwZx8LiEhw7f0XfdC3BLFcHyyssqXCsLIIRGSyB7IPoEF91iwjwgku5q4W9MjxSjfqWUDYMa67/TERkv+x69axrTYfSRaFuzeX8omIcPXdFH8gJEsrnslFQVDGUG7g6ISq4NIyjQ6TG7IsWTbyqHbCmfnEgIiLrwWUuq9nc3WvOpkpHWnu6OqG5vyeOpV1BYXHFYpJ5zdJsLYGsqynf4N8AjtdZ6+X6z0REti2Ly1xWTYKwqulQuQXFOJSarb/AiNSODWvKYY08rzuUjZFQ7t7Sv9Yfl4iIrI/dBrXUVqvjoZ7N8UDPGxDayIMLXBARUb2z26Cu7jSnAZGBCPPzrPPzISIiMsZuFymWfl8ZpHWtOrJsl/2cDkVEROZkt0Et/cAyklqUD2tOhyIiIktht0EtZLqTTMGSC4kYkvu6qVlERETmZLd91DoSxgMjAzkdioiILJLdB7XgdCgiIrJUdt30TUREZOkY1ERERBbMqpu+dVc/lUuxERERWQtdblXnKt5WHdTZ2aWX9wwLCzP3qRAREZmUY3LNb5tdlKOkpARnz56Ft7e3zV3eU75tyReQ5ORkk1YGs3Usn2tj2Vwby6ZyLJ/6KxuJXgnp4OBgODo62m6NWl5caGgobJm8Ifg/zLWxfK6NZXNtLJvKsXzqp2yqqknrcDAZERGRBWNQExERWTAGtYVyc3PDjBkz1E+qiOVzbSyba2PZVI7lY5llY9WDyYiIiGwda9REREQWjEFNRERkwRjU9eTxxx9H8+bN1Xzv/fv367dv2LABXbt2Rfv27dGtWzfExcXp9/Xt2xc33HADOnbsqG7z5s3T70tLS8PgwYPRqlUrREdHY+vWrbBmtV0+EydOROvWrdGhQwf07NkTe/bsgbWq7bLR2bRpE5ycnDB//nxYs9ouH+kNfOWVV9T7JyYmBv369YO1qu2y2b17tzq+U6dOaNeuHd566y3YU9lolbw36vQzWfqoqe5t2bJFS05O1po1a6bt27dPbcvIyND8/Py0+Ph4dX/r1q1aVFSU/m/69OmjffPNN0Yfb+LEidqMGTPU77t379ZCQkK0goICzVrVdvl8++23WmFhofr9u+++U49rrWq7bMTly5e12NhYbejQodq8efM0a1bb5TN//nxt1KhRWn5+vrqfmpqqWavaLpsOHTqo/7dEenq61qRJEy0hIUGzl7KZX8l7oy4/k1mjric333xzhYuzJCYmwt/fH1FRUep+7969cfr0aezdu7fKx1u5ciUefvhh9XtsbKy6us2WLVtgrWq7fIYPHw5n59Lr+ci34pSUFBQVFcEa1XbZiEcffRQvvviiegxrV9vl8/bbb+PNN9+Eq6uruh8YGAhrVdtlI7XPy5cvq99zcnJUGfn5+cFeyubtSt4bdfmZzKA2I2kiSU9Px44dO9T9devWqUvKnTp1Sn/MtGnTVBPL2LFjceLECbVN/qawsLDMm0SacOQNZUtMLZ/yFixYgCFDhuiD297LZvXq1eqqfvJlxlaZWj5ymcjz58/j22+/xU033aRuX331FWzJ9bx3li1bhpdeegnh4eGq+feNN96w6i8yNSmbyt4bdf2ZbDufXFZILh8nH5rTp0/HlStX0L17d0RGRuoD5bPPPlPXlpV+kUWLFmHo0KE4dOgQ7EVtlM+KFSvUN11r78OvrbI5d+4cZs2ahV9//RW2zNTykVYXuV29ehW7du1SH9A9evRA27Zt1XgHe///SmqTs2fPxr333qsCvE+fPqo/V/7e1sumqJL3Rp1fyrpWGtCp2gz7Q8rLy8vTGjZsqB07dszofjc3N+3ixYvqd09PzzL9I9Lf+PPPP2vWrrbKR3z55ZdaRESElpSUpNmC2iib9evXawEBAeqx5NagQQOtUaNG2vPPP69Zu9p673h5eWmJiYn6faNHj9aWLl2q2XvZXLhwQXN1dS2zT8rmww8/1OylbLwqeW/U5Wcym77NLDU1Vf/7a6+9hv79+yMiIkJ9c5NmFp01a9agadOm+j7FMWPGYPHixep3GdEsfbDy7dbWmFo+UouWPtiNGzeqZjpbZErZ3H777Wqf1AbkNnr0aLz88st4/fXXYWtMfe/cc889auSvyMjIUCOdZQSwvZdNo0aN0KBBAzVbQFy8eFHVLGWEsz2UTVXvjTr9TK6VuKcqTZ48WY0CdHJyUjWali1bqu2TJk3S2rRpo+6PGzdOu3Tpktp+5coVrUuXLlp0dLTWvn17rX///tr+/fv1j3fu3Dlt4MCBqsYYGRmpbdq0SbNmtV0+zs7OWmhoqBqlqrsZ1rbtuWwMTZgwwepHfdd2+cj7ZNiwYWq0r9wWLVqkWavaLhupIXbu3Fnta9eunTZ37lzNXsqmqvdGXX4m8xKiREREFoxN30RERBaMQU1ERGTBGNREREQWjEFNRERkwRjUREREFoxBTUREZMEY1ERERBaMQU1ERGTBGNREREQWjEFNRLWuuLgYJSUl5j4NIpvAoCayccuXL1eLKuTn55fZPnLkSNx///3qd1ljt3PnznB3d0eLFi0wc+ZMtUCDzrvvvqvWJ5ZFGWQJxH/+859qGUCdTz75BA0bNlTr98qygG5ubja3PjqRuTCoiWycrOojNVwJUZ20tDR8//33ePDBB7Ft2zaMHz8eTzzxhFp3eMmSJSp4DVfUcnR0xMKFC5GQkIBPP/1UraD07LPPlnme3NxczJkzBx999JE6LiAgoF5fJ5Gt4qIcRHZAasCyrOUPP/ygryEvWrQIx48fx8CBA3HLLbdg+vTp+uNXrFihgvjs2bNGH2/16tV4+OGH1VKHQoJ94sSJ2L9/Pzp06FBPr4rIPjCoiezAvn37EBsbi6SkJISEhKg1dKWm/dJLL6FJkyaqGdvJyUl/vNTA8/LykJOTA09PT7Wu9+zZs3H48GFkZWWpZnHD/RLUU6ZMUdscHBzM+lqJbI2zuU+AiOpep06dVE1X+qsHDRqkmqal6VtISEuf9B133FHh76TPWmriQ4cOxdSpU1VzuJ+fH7Zv346HHnoIBQUFKqiFh4cHQ5qoDjCoiezEpEmTMH/+fKSkpGDAgAFqUJiQQWRHjhxBRESE0b/7888/1QjuuXPnqr5qsXLlyno9dyJ7xqAmshP33nsvnn76aSxdulTVrHVefvllVWMODw/H6NGjVRjHxcUhPj4es2bNUgFeWFiI9957D8OGDcNvv/2GxYsXm/W1ENkTjvomshO+vr6488474eXlpaZm6dx6661Yv349fvrpJ9WP3a1bN8ybNw/NmjVT+6XJXAafyYju6OhofP7556q/mojqBweTEdkRGd0dFRWlploRkXVgUBPZgUuXLuHXX39VTdsyV7pNmzbmPiUiqib2URPZyahvCWtpvmZIE1kX1qiJiIgsGAeTERERWTAGNRERkQVjUBMREVkwBjUREZEFY1ATERFZMAY1ERGRBWNQExERWTAGNRERkQVjUBMREcFy/X+NT8MjlAE57QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights = sns.load_dataset(\"flights\")\n",
    "\n",
    "### groupby() and aggregation: For each year, add up all the passenger counts from that year.\n",
    "flights.groupby(\"year\")[\"passengers\"].sum().plot(\n",
    "    kind=\"line\",\n",
    "    figsize=(5, 3),\n",
    "    fontsize=8,\n",
    "    title=\"Total Passengers per Year\",\n",
    "    marker=\"o\"      # show data points\n",
    ")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39fadc28",
   "metadata": {},
   "source": [
    "### Histograms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2cf37a93",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.556471Z",
     "iopub.status.busy": "2026-08-31T18:39:20.556347Z",
     "iopub.status.idle": "2026-08-31T18:39:20.612501Z",
     "shell.execute_reply": "2026-08-31T18:39:20.612203Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 400x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tips = sns.load_dataset(\"tips\")\n",
    "\n",
    "# ax = tips[\"tip\"].plot(        ### plot() returns the Axes object, \n",
    "                                ### so we can capture it in a variable\n",
    "tips[\"tip\"].plot(\n",
    "    kind=\"hist\",\n",
    "    figsize=(4, 2.5),\n",
    "    bins=20,\n",
    "    edgecolor=\"white\",\n",
    "    alpha=0.8,\n",
    "    fontsize=7,\n",
    "    title=\"Distribution of Tips\"\n",
    ")\n",
    "\n",
    "plt.xlabel(\"Tip ($)\")\n",
    "plt.ylabel(\"Frequency\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2244133a",
   "metadata": {},
   "source": [
    "### Scatter Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d7f285a5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.614179Z",
     "iopub.status.busy": "2026-08-31T18:39:20.614063Z",
     "iopub.status.idle": "2026-08-31T18:39:20.658721Z",
     "shell.execute_reply": "2026-08-31T18:39:20.658470Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Basic'}, xlabel='total_bill', ylabel='tip'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tips = sns.load_dataset(\"tips\")\n",
    "\n",
    "tips.plot(\n",
    "    kind=\"scatter\",\n",
    "    x=\"total_bill\", y=\"tip\",\n",
    "    alpha=0.5, fontsize=7,\n",
    "    title=\"Basic\",\n",
    "    figsize=(4, 3),\n",
    "    s=tips[\"size\"] * 15     ### scale size by 'size' column\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c6c2ce1",
   "metadata": {},
   "source": [
    "### Bar Plots\n",
    "\n",
    "Bar plots are one of the most common ways to compare categorical data visually. They represent quantities as rectangular bars whose length (or height) corresponds to the value being measured.\n",
    "\n",
    "Both bar() and barh() create bar charts — the difference is simply orientation. Stacked bar charts, on the other hand, how multiple subcategories contribute to a total within each main category.  \n",
    "\n",
    "| Plot Type       | Orientation | Purpose                                  | Best For                                |\n",
    "| --------------- | ----------- | ---------------------------------------- | --------------------------------------- |\n",
    "| **Bar Plot**    | Vertical    | Compare category values                  | Simple category comparisons             |\n",
    "| **Barh Plot**   | Horizontal  | Compare category values with long labels | Readability and ranking-type data       |\n",
    "| **Stacked Bar** | Either      | Show part-to-whole relationships         | Composition of totals across categories |\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70513251",
   "metadata": {},
   "source": [
    "#### Vertical Bar Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "92fb753a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.660330Z",
     "iopub.status.busy": "2026-08-31T18:39:20.660241Z",
     "iopub.status.idle": "2026-08-31T18:39:20.666325Z",
     "shell.execute_reply": "2026-08-31T18:39:20.666045Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 244 entries, 0 to 243\n",
      "Data columns (total 7 columns):\n",
      " #   Column      Non-Null Count  Dtype   \n",
      "---  ------      --------------  -----   \n",
      " 0   total_bill  244 non-null    float64 \n",
      " 1   tip         244 non-null    float64 \n",
      " 2   sex         244 non-null    category\n",
      " 3   smoker      244 non-null    category\n",
      " 4   day         244 non-null    category\n",
      " 5   time        244 non-null    category\n",
      " 6   size        244 non-null    int64   \n",
      "dtypes: category(4), float64(2), int64(1)\n",
      "memory usage: 7.4 KB\n"
     ]
    }
   ],
   "source": [
    "tips = sns.load_dataset(\"tips\")\n",
    "tips.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d1214051",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.667632Z",
     "iopub.status.busy": "2026-08-31T18:39:20.667555Z",
     "iopub.status.idle": "2026-08-31T18:39:20.699403Z",
     "shell.execute_reply": "2026-08-31T18:39:20.699093Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='day'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### bar plot\n",
    "tips.groupby(\"day\", observed=True)[\"tip\"].mean().plot(kind=\"bar\", \n",
    "        figsize=(4, 3), edgecolor=\"white\", alpha=0.9, fontsize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "165d8fb2",
   "metadata": {},
   "source": [
    "#### Horizontal Bar Plot "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5c2166b6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.700937Z",
     "iopub.status.busy": "2026-08-31T18:39:20.700859Z",
     "iopub.status.idle": "2026-08-31T18:39:20.732761Z",
     "shell.execute_reply": "2026-08-31T18:39:20.732544Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='day'>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### bar plot horizontal\n",
    "\n",
    "### Observed categories\n",
    "### Use categories that are actually observed in the data\n",
    "\n",
    "tips.groupby(\"day\", observed=True)[\"tip\"].mean().plot(kind=\"barh\", \n",
    "        figsize=(4, 3), edgecolor=\"white\", alpha=0.9, fontsize=8)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f429a05f",
   "metadata": {},
   "source": [
    "#### Stacked Bar Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0b78f48b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.733997Z",
     "iopub.status.busy": "2026-08-31T18:39:20.733932Z",
     "iopub.status.idle": "2026-08-31T18:39:20.795335Z",
     "shell.execute_reply": "2026-08-31T18:39:20.795053Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "class   sex   \n",
      "First   female    0.968085\n",
      "        male      0.368852\n",
      "Second  female    0.921053\n",
      "        male      0.157407\n",
      "Third   female    0.500000\n",
      "        male      0.135447\n",
      "Name: survived, dtype: float64 \n",
      "\n",
      "sex       female      male\n",
      "class                     \n",
      "First   0.968085  0.368852\n",
      "Second  0.921053  0.157407\n",
      "Third   0.500000  0.135447\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### titanic — survival count by gender and class\n",
    "import seaborn as sns\n",
    "titanic = sns.load_dataset(\"titanic\")\n",
    "\n",
    "titanic.groupby([\"class\", \"sex\"], observed=True)[\"survived\"].mean()\\\n",
    "    .unstack().plot(kind=\"bar\", \n",
    "    stacked=True,\n",
    "    figsize=(4, 3), edgecolor=\"white\", alpha=0.9, fontsize=8)\n",
    "    \n",
    "\n",
    "print(titanic.groupby([\"class\", \"sex\"], observed=True)[\"survived\"].mean(), \"\\n\")\n",
    "print(titanic.groupby([\"class\", \"sex\"], observed=True)[\"survived\"].mean().unstack())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37de62dc",
   "metadata": {},
   "source": [
    "### BoxPlots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a616a59f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.796691Z",
     "iopub.status.busy": "2026-08-31T18:39:20.796613Z",
     "iopub.status.idle": "2026-08-31T18:39:20.836474Z",
     "shell.execute_reply": "2026-08-31T18:39:20.836227Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tips.boxplot(\n",
    "    column=\"tip\",\n",
    "    by=\"sex\",\n",
    "    figsize=(4, 3),\n",
    "    fontsize=8\n",
    ")\n",
    "plt.suptitle(\"\")        # removes default \"Boxplot grouped by sex\" title\n",
    "plt.title(\"Tip Distribution by Gender\")\n",
    "plt.xlabel(\"\")\n",
    "plt.ylabel(\"Tip ($)\")\n",
    "plt.grid(alpha=0.25)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0183c46",
   "metadata": {},
   "source": [
    "How to read each box:\n",
    "\n",
    "- The green line inside the box is the median tip: the middle value.\n",
    "- The bottom of the box is the 25th percentile: about 25% of tips are below this.\n",
    "- The top of the box is the 75th percentile: about 75% of tips are below this.\n",
    "- The box shows the middle 50% of tips.\n",
    "- The whiskers show the usual range of non-outlier values.\n",
    "- The circles are outliers: unusually high tip amounts."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaec1bb1",
   "metadata": {},
   "source": [
    "### Area Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e98dca7e",
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.837859Z",
     "iopub.status.busy": "2026-08-31T18:39:20.837780Z",
     "iopub.status.idle": "2026-08-31T18:39:20.918097Z",
     "shell.execute_reply": "2026-08-31T18:39:20.917829Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "flights = sns.load_dataset(\"flights\")\n",
    "\n",
    "df = flights.pivot(index=\"year\", columns=\"month\", values=\"passengers\")\n",
    "\n",
    "df.plot(\n",
    "    kind=\"area\",\n",
    "    figsize=(5, 3),\n",
    "    alpha=0.5,\n",
    "    fontsize=8,\n",
    "    title=\"Passengers by Month\"\n",
    ")\n",
    "\n",
    "plt.xlabel(\"Year\")\n",
    "plt.ylabel(\"Passengers\")\n",
    "plt.legend(title=\"Month\", bbox_to_anchor=(1.05, 1), loc=\"upper left\", fontsize=6)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "094de943",
   "metadata": {},
   "source": [
    "### KDE Plot\n",
    "\n",
    "- A Kernel Density Estimate (KDE) plot is smooth version of histogram. \n",
    "- Density tells you where values are concentrated. A higher curve means more values are packed in that region. The exact y-value doesn't matter — the shape and peaks are what you read.\n",
    "  - The peak shows where most values are concentrated\n",
    "  - A wider curve means more spread in the data\n",
    "  - The area under the curve always equals 1.0\n",
    "  - The y-axis shows density — not count or percentage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8e4ab9f7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.919430Z",
     "iopub.status.busy": "2026-08-31T18:39:20.919351Z",
     "iopub.status.idle": "2026-08-31T18:39:20.971408Z",
     "shell.execute_reply": "2026-08-31T18:39:20.971196Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  species     island  body_mass_g     sex\n",
      "0  Adelie  Torgersen       3750.0    Male\n",
      "1  Adelie  Torgersen       3800.0  Female\n",
      "2  Adelie  Torgersen       3250.0  Female\n",
      "3  Adelie  Torgersen          NaN     NaN\n",
      "4  Adelie  Torgersen       3450.0  Female\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Penguin Body Mass'}, ylabel='Density'>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# %pip install scipy    ### ensure scipy is installed; uncomment when done\n",
    "\n",
    "# penguins — body mass or flipper length, clear multi-modal distribution\n",
    "penguins = sns.load_dataset(\"penguins\").drop(columns=\\\n",
    "    [\"bill_length_mm\", \"bill_depth_mm\", \"flipper_length_mm\"])\n",
    "print(penguins.head())\n",
    "\n",
    "penguins[\"body_mass_g\"].plot(\n",
    "    kind=\"kde\", \n",
    "    title=\"Penguin Body Mass\",\n",
    "    figsize=(4,2.5)\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf70ebf2",
   "metadata": {},
   "source": [
    "We can also overlay KDE with histogram, which makes it clear that a KDE is a smoothed out version of histogram. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3942ba2d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:20.972650Z",
     "iopub.status.busy": "2026-08-31T18:39:20.972587Z",
     "iopub.status.idle": "2026-08-31T18:39:21.024967Z",
     "shell.execute_reply": "2026-08-31T18:39:21.024716Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "penguins = sns.load_dataset(\"penguins\").drop(columns=\\\n",
    "    [\"bill_length_mm\", \"bill_depth_mm\", \"flipper_length_mm\"])\n",
    "\n",
    "penguins[\"body_mass_g\"].plot(\n",
    "    kind=\"hist\", bins=20,\n",
    "    edgecolor=\"white\", alpha=0.5,\n",
    "    density=True,                   ### must be density=True to overlay KDE on histogram\n",
    "    # title=\"Histogram\",\n",
    "    fontsize=8, \n",
    "    label=\"Histogram\",\n",
    "    figsize=(4, 2.5)\n",
    ")\n",
    "\n",
    "penguins[\"body_mass_g\"].plot(\n",
    "    kind=\"kde\",\n",
    "    # title=\"KDE\",\n",
    "    fontsize=8, \n",
    "    label=\"KDE\"\n",
    ")\n",
    "plt.legend()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f5218c32",
   "metadata": {},
   "source": [
    "### Hexagonal Bin Plot\n",
    "\n",
    "Hexagonal bin plots are useful for bivariate Data and is an alternative to scatterplot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f05694dd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.026339Z",
     "iopub.status.busy": "2026-08-31T18:39:21.026262Z",
     "iopub.status.idle": "2026-08-31T18:39:21.086742Z",
     "shell.execute_reply": "2026-08-31T18:39:21.086449Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='a', ylabel='b'>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "df = pd.DataFrame(np.random.randn(1000, 2), columns=['a', 'b'])\n",
    "df.plot.hexbin(x='a', y='b', \n",
    "               gridsize=25, \n",
    "               cmap='Oranges',\n",
    "               figsize=(5, 4),\n",
    "            )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "97a46b61",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.087982Z",
     "iopub.status.busy": "2026-08-31T18:39:21.087912Z",
     "iopub.status.idle": "2026-08-31T18:39:21.089467Z",
     "shell.execute_reply": "2026-08-31T18:39:21.089212Z"
    },
    "tags": [
     "thebe-interactive"
    ]
   },
   "outputs": [],
   "source": [
    "### EXERCISE 1: Histogram Fundamentals\n",
    "# Goal: Visualize the distribution of `A` in `df1`.\n",
    "# Requirements:\n",
    "# 1) Plot a histogram for `df1['A']` with exactly 50 bins.\n",
    "# 2) Set `figsize=(8, 4)` and `alpha=0.7`.\n",
    "# 3) Add a title: \"Distribution of A\".\n",
    "# Stretch: Add vertical dashed lines for the mean and median of `A`.\n",
    "\n",
    "# Your code here\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ca8c398b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.090742Z",
     "iopub.status.busy": "2026-08-31T18:39:21.090676Z",
     "iopub.status.idle": "2026-08-31T18:39:21.149932Z",
     "shell.execute_reply": "2026-08-31T18:39:21.149695Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Solution\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "try:\n",
    "    df1\n",
    "except NameError:\n",
    "    rng = np.random.default_rng(0)\n",
    "    df1 = pd.DataFrame(rng.normal(size=(100, 3)), columns=['A', 'B', 'C'])\n",
    "\n",
    "ax = df1['A'].plot(kind='hist', bins=50, figsize=(8, 4), alpha=0.7)\n",
    "ax.axvline(df1['A'].mean(), linestyle='--', color='red', label='Mean')\n",
    "ax.axvline(df1['A'].median(), linestyle='--', color='black', label='Median')\n",
    "ax.set_title('Distribution of A')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7bd4afab",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.151093Z",
     "iopub.status.busy": "2026-08-31T18:39:21.151017Z",
     "iopub.status.idle": "2026-08-31T18:39:21.193117Z",
     "shell.execute_reply": "2026-08-31T18:39:21.192896Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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yct2c8PXXX7/Q+gEAAPhHANJnbZ1L/fr1ZdiwYdW5PQAAgP/NAdLhL534XJ5emzNnji/qBQAA4F8BSB8eGhkZWeGw13PPPeeLegEAAPhXANLNCXWic3lXXHGF18aFAAAAQROAtKdn27ZtZ1z/7LPPzM7LAAAAQReA9FETf/jDH2TVqlVy+vRpc6xcudI8kmLQoEG+ryUAAIDTq8Cefvpp87DRnj17mt2gVWlpqdn9mTlAAAAgKAOQLnGfP3++CUI67NWwYUPp1KmTmQMEAAAQlAHITR9+qgcAAEDQByCd86OPulixYoUcOnTIDH+VpfOBAAAAgioA6WRnDUApKSnSsWNHCQkJ8X3NAAAA/CkAzZs3TxYsWGAegAoAAGDFMnidBN26dWvf1wYAAMBfA9Do0aPlxRdfFJfL5fsaAQAA+OMQ2Lp168wmiMuWLZMOHTpIvXr1vF5ftGiRr+oHAADgHwGoSZMmMmDAAN/XBgAAwF8D0KxZs3xfEwAAAH+eA6R++ukn+eSTT+Tll1+WY8eOmWv79++X48eP+7J+AAAA/tED9N1330nv3r0lLy9PSkpK5JZbbpGLLrpIJk+ebM4zMzN9X1MAAAAne4B0I8Ru3brJDz/8YJ4D5qbzgnR3aAAAgKDrAfrnP/8p69evN/sBlRUXFyf79u3zVd0AAAD8pwdIn/2lzwMrb+/evWYoDAAAIOgCUK9evWTatGmec30WmE5+njhxIo/HAAAAwTkE9sILL0hycrK0b99eTp48KXfccYfs3LlTIiMj5e233/Z9LQEAAJwOQJdddpl89tln5qGo27ZtM70/I0aMkCFDhnhNigYAAAiaAGTeGBoqd955p29rAwAA4K8BaO7cuWd9fejQodWtDwAAgH8GIN0HqKwff/xRTpw4YZbFN2rUiAAEAACCbxWYboBY9tA5QDt27JAePXowCRoAAATvs8DKa9OmjUyaNOmM3qGzWbt2rfTt21diYmLMUvrFixef8z2rV6+Wa665RsLCwqR169Yye/bsM8pkZGSYTRkbNGggCQkJkpOTc96fBwAABC+fBSD3xGh9IGpVFRcXS3x8vAksVZGbmyspKSly8803y9atW+WRRx6RkSNHykcffeQpM3/+fBk1apTZk2jz5s3m/rpk/9ChQ9X6TAAAIPiEuFwu1/m+6f333/c611scOHBAXnrpJYmNjZVly5adf0VCQuTdd9+V/v37V1rm8ccflyVLlsj27ds91wYNGiQFBQWSlZVlzrXH59prrzV1ce9arXX6/e9/L+PGjatSXYqKiiQiIkIKCwslPDxcfC1u3BKf3xMAgECxe1JKjdz3fH5/V2sSdPmQouHlkksukV/96ldmk8Sakp2dLUlJSV7XtHdHe4LUqVOnZNOmTZKWluZ5vU6dOuY9+t7K6BPs9SjbgAAAIHhVKwBpr4oT8vPzJSoqyuuanmtg+e9//2smZOszyioq8/XXX1d63/T0dHnqqadqrN4AACCI5wAFKu0x0u4y97Fnzx6nqwQAAPytB0gnGVfV1KlTxVeio6Pl4MGDXtf0XMf59BEcdevWNUdFZfS9ldEVZXoAAAA7VCsAbdmyxRy6AWLbtm3Ntf/85z8mfOgS9bJzg3wpMTFRli5d6nVt+fLl5rrSjRi7du0qK1as8MxT0uE6PX/ooYd8WhcAAGBZANK9ey666CKZM2eONG3a1FzT+Tepqalyww03yOjRo6t0H91AcdeuXV7L3HV5e7NmzeTyyy83Q1P79u3zPHrjvvvuM6u7xo4dK3fffbesXLlSFixYYFaGle2dGjZsmHTr1k26d+8u06ZNM8vttW4AAADVDkC60uvjjz/2hB+lXz/zzDPSq1evKgegjRs3mj19yg+taYDRDQ51aX1eXp7n9ZYtW5qw8+ijj8qLL75onkr/2muvmZVgbgMHDpTDhw/LhAkTzKTpLl26mCXy5SdGAwAAe1UrAOmqKw0Z5em1Y8eOVfk+N910k9lDqDIV7fKs79Hht7PR4S6GvAAAgE9XgQ0YMMAMKS1atEj27t1rjnfeeUdGjBght912W3VuCQAA4N89QJmZmTJmzBi54447zERoc6PQUBOAnn/+eV/XEQAAwPkA1KhRI/n73/9uws4333xjrl155ZXSuHFj39YOAADA3zZC1EnKeuiT4DX8VOOxYgAAAIERgI4ePSo9e/aUq666Sm699VYTgpQOgVV1BRgAAEBABSBdhl6vXj2zRF2Hw8ouQXc/lR0AACCo5gDpHkAfffSR2YenLB0K++6773xVNwAAAP/pAdKdlcv2/Lh9//33PFMLAAAEZwDSx124H0/hfuaXPnNrypQpXjs7AwAABM0QmAYdnQStj7I4deqUeTbXF198YXqA/vWvf/m+lgAAAE73AHXs2NE8/b1Hjx7Sr18/MySmO0DrIyp0PyAAAICg6gHSnZ979+5tdoP+05/+VDO1AgAA8KceIF3+vm3btpqpDQAAgL8Ogd15553y+uuv+742AAAA/joJ+qeffpKZM2fKJ598Il27dj3jGWBTp071Vf0AAACcDUDffvutxMXFyfbt2+Waa64x13QydFm6JB4AACBoApDu9KzP/Vq1apXn0RfTp0+XqKiomqofAACAs3OAyj/tfdmyZWYJPAAAQNBPgq4sEAEAAARdANL5PeXn+DDnBwAABPUcIO3xGT58uOeBpydPnpT77rvvjFVgixYt8m0tAQAAnApAw4YNO2M/IAAAgKAOQLNmzaq5mgAAAATCJGgAAIBARAACAADWIQABAADrEIAAAIB1CEAAAMA6BCAAAGAdAhAAALAOAQgAAFiHAAQAAKxDAAIAANbxiwCUkZEhcXFx0qBBA0lISJCcnJxKy950002ep9KXPVJSUjxl9IGt5V/v3bt3LX0aAAAQVM8Cqwnz58+XUaNGSWZmpgk/06ZNk+TkZNmxY4c0b978jPL6pPlTp055zo8ePSrx8fFy++23e5XTwFP22WXuJ9gDAAA43gM0depUueeeeyQ1NVXat29vglCjRo1k5syZFZZv1qyZREdHe47ly5eb8uUDkAaesuWaNm1aS58IAAD4O0cDkPbkbNq0SZKSkv5XoTp1zHl2dnaV7vH666/LoEGDpHHjxl7XV69ebXqQ2rZtK/fff7/pKapMSUmJFBUVeR0AACB4ORqAjhw5IqdPn5aoqCiv63qen59/zvfrXKHt27fLyJEjzxj+mjt3rqxYsUImT54sa9askT59+pjvVZH09HSJiIjwHLGxsRf4yQAAgD9zfA7QhdDen06dOkn37t29rmuPkJu+3rlzZ7nyyitNr1DPnj3PuE9aWpqZh+SmPUCEIAAAgpejPUCRkZFSt25dOXjwoNd1Pdd5O2dTXFws8+bNkxEjRpzz+7Rq1cp8r127dlX4us4XCg8P9zoAAEDwcjQA1a9fX7p27WqGqtxKS0vNeWJi4lnfu3DhQjN358477zzn99m7d6+ZA9SiRQuf1BsAAAQ2x1eB6dDTq6++KnPmzJGvvvrKTFjW3h1dFaaGDh1qhqgqGv7q37+/XHzxxV7Xjx8/Lo899phs2LBBdu/ebcJUv379pHXr1mZ5PQAAgONzgAYOHCiHDx+WCRMmmInPXbp0kaysLM/E6Ly8PLMyrCzdI2jdunXy8ccfn3E/HVLbtm2bCVQFBQUSExMjvXr1kqeffpq9gAAAgBHicrlc//8lyk6C1tVghYWFNTIfKG7cEp/fEwCAQLF70v+e3uDU72/Hh8AAAABqGwEIAABYhwAEAACsQwACAADWIQABAADrEIAAAIB1CEAAAMA6BCAAAGAdAhAAALAOAQgAAFiHAAQAAKxDAAIAANYhAAEAAOsQgAAAgHUIQAAAwDoEIAAAYB0CEAAAsA4BCAAAWIcABAAArEMAAgAA1iEAAQAA6xCAAACAdQhAAADAOgQgAABgHQIQAACwDgEIAABYhwAEAACsQwACAADWIQABAADrEIAAAIB1CEAAAMA6BCAAAGAdAhAAALCOXwSgjIwMiYuLkwYNGkhCQoLk5ORUWnb27NkSEhLidej7ynK5XDJhwgRp0aKFNGzYUJKSkmTnzp218EkAAEAgcDwAzZ8/X0aNGiUTJ06UzZs3S3x8vCQnJ8uhQ4cqfU94eLgcOHDAc3z33Xder0+ZMkWmT58umZmZ8umnn0rjxo3NPU+ePFkLnwgAAPg7xwPQ1KlT5Z577pHU1FRp3769CS2NGjWSmTNnVvoe7fWJjo72HFFRUV69P9OmTZMnnnhC+vXrJ507d5a5c+fK/v37ZfHixbX0qQAAgD9zNACdOnVKNm3aZIaoPBWqU8ecZ2dnV/q+48ePyxVXXCGxsbEm5HzxxRee13JzcyU/P9/rnhEREWZorbJ7lpSUSFFRkdcBAACCl6MB6MiRI3L69GmvHhyl5xpiKtK2bVvTO/Tee+/JG2+8IaWlpXL99dfL3r17zevu953PPdPT001Ich8arAAAQPByfAjsfCUmJsrQoUOlS5cucuONN8qiRYvkkksukZdffrna90xLS5PCwkLPsWfPHp/WGQAA+BdHA1BkZKTUrVtXDh486HVdz3VuT1XUq1dPrr76atm1a5c5d7/vfO4ZFhZmJlaXPQAAQPByNADVr19funbtKitWrPBc0yEtPdeenqrQIbTPP//cLHlXLVu2NEGn7D11To+uBqvqPQEAQHALdboCugR+2LBh0q1bN+nevbtZwVVcXGxWhSkd7rr00kvNPB315z//Wa677jpp3bq1FBQUyPPPP2+WwY8cOdKzQuyRRx6RZ555Rtq0aWMC0fjx4yUmJkb69+/v6GcFAAD+wfEANHDgQDl8+LDZuFAnKevcnqysLM8k5ry8PLMyzO2HH34wy+a1bNOmTU0P0vr1680SerexY8eaEHXvvfeakNSjRw9zz/IbJgIAADuFuHTjHHjRITNdDaYTomtiPlDcuCU+vycAAIFi96QUx39/B9wqMAAAgAtFAAIAANYhAAEAAOsQgAAAgHUIQAAAwDoEIAAAYB0CEAAAsA4BCAAAWIcABAAArEMAAgAA1iEAAQAA6xCAAACAdQhAAADAOgQgAABgHQIQAACwDgEIAABYhwAEAACsQwACAADWIQABAADrEIAAAIB1CEAAAMA6BCAAAGAdAhAAALAOAQgAAFiHAAQAAKxDAAIAANYhAAEAAOsQgAAAgHUIQAAAwDoEIAAAYB0CEAAAsA4BCAAAWIcABAAArOMXASgjI0Pi4uKkQYMGkpCQIDk5OZWWffXVV+WGG26Qpk2bmiMpKemM8sOHD5eQkBCvo3fv3rXwSQAAQCBwPADNnz9fRo0aJRMnTpTNmzdLfHy8JCcny6FDhyosv3r1ahk8eLCsWrVKsrOzJTY2Vnr16iX79u3zKqeB58CBA57j7bffrqVPBAAA/J3jAWjq1Klyzz33SGpqqrRv314yMzOlUaNGMnPmzArLv/nmm/LAAw9Ily5dpF27dvLaa69JaWmprFixwqtcWFiYREdHew7tLQIAAHA8AJ06dUo2bdpkhrHc6tSpY861d6cqTpw4IT/++KM0a9bsjJ6i5s2bS9u2beX++++Xo0ePVnqPkpISKSoq8joAAEDwcjQAHTlyRE6fPi1RUVFe1/U8Pz+/Svd4/PHHJSYmxitE6fDX3LlzTa/Q5MmTZc2aNdKnTx/zvSqSnp4uERERnkOH1QAAQPAKlQA2adIkmTdvnunt0QnUboMGDfJ83alTJ+ncubNceeWVplzPnj3PuE9aWpqZh+SmPUCEIAAAgpejPUCRkZFSt25dOXjwoNd1Pdd5O2fzl7/8xQSgjz/+2AScs2nVqpX5Xrt27arwdZ0vFB4e7nUAAIDg5WgAql+/vnTt2tVrArN7QnNiYmKl75syZYo8/fTTkpWVJd26dTvn99m7d6+ZA9SiRQuf1R0AAAQux1eB6dCT7u0zZ84c+eqrr8yE5eLiYrMqTA0dOtQMUbnpnJ7x48ebVWK6d5DOFdLj+PHj5nX997HHHpMNGzbI7t27TZjq16+ftG7d2iyvBwAAcHwO0MCBA+Xw4cMyYcIEE2R0ebv27LgnRufl5ZmVYW4zZswwq8d+85vfeN1H9xF68sknzZDatm3bTKAqKCgwE6R1nyDtMdKhLgAAgBCXy+VyuhL+RidB62qwwsLCGpkPFDduic/vCQBAoNg9KcXx39+OD4EBAADUNgIQAACwDgEIAABYhwAEAACsQwACAADWIQABAADrEIAAAIB1CEAAAMA6BCAAAGAdAhAAALAOAQgAAFiHAAQAAKxDAAIAANYhAAEAAOsQgAAAgHUIQAAAwDoEIAAAYB0CEAAAsA4BCAAAWIcABAAArEMAAgAA1iEAAQAA6xCAAACAdQhAAADAOgQgAABgHQIQAACwDgEIAABYhwAEAACsQwACAADWIQABAADrEIAAAIB1CEAAAMA6BCAAAGAdvwhAGRkZEhcXJw0aNJCEhATJyck5a/mFCxdKu3btTPlOnTrJ0qVLvV53uVwyYcIEadGihTRs2FCSkpJk586dNfwpAABAoHA8AM2fP19GjRolEydOlM2bN0t8fLwkJyfLoUOHKiy/fv16GTx4sIwYMUK2bNki/fv3N8f27ds9ZaZMmSLTp0+XzMxM+fTTT6Vx48bmnidPnqzFTwYAAPxViEu7SxykPT7XXnutvPTSS+a8tLRUYmNj5fe//72MGzfujPIDBw6U4uJi+fDDDz3XrrvuOunSpYsJPPpxYmJiZPTo0TJmzBjzemFhoURFRcns2bNl0KBB56xTUVGRREREmPeFh4eLr8WNW+LzewIAECh2T0qpkfuez+/vUHHQqVOnZNOmTZKWlua5VqdOHTNklZ2dXeF79Lr2GJWlvTuLFy82X+fm5kp+fr65h5s2hgYtfW9FAaikpMQcbtpw7oasCaUlJ2rkvgAABIKiGvr96r5vVfp2HA1AR44ckdOnT5vembL0/Ouvv67wPRpuKiqv192vu69VVqa89PR0eeqpp864rj1RAADAtyKmSY06duyY6fzw2wDkL7QHqmyvkg7Dff/993LxxRdLSEiIz9OpBqs9e/bUyPAa/oe2rj20de2hrWsPbR14ba09Pxp+dCrMuTgagCIjI6Vu3bpy8OBBr+t6Hh0dXeF79PrZyrv/1Wu6CqxsGZ0nVJGwsDBzlNWkSROpSfr/YP6Dqh20de2hrWsPbV17aOvAautz9fz4xSqw+vXrS9euXWXFihVevS96npiYWOF79HrZ8mr58uWe8i1btjQhqGwZTZa6GqyyewIAALs4PgSmQ0/Dhg2Tbt26Sffu3WXatGlmlVdqaqp5fejQoXLppZeaeTrq4YcflhtvvFFeeOEFSUlJkXnz5snGjRvllVdeMa/rkNUjjzwizzzzjLRp08YEovHjx5vuMF0uDwAA4HgA0mXthw8fNhsX6iRlHabKysryTGLOy8szK8Pcrr/+ennrrbfkiSeekD/+8Y8m5OgKsI4dO3rKjB071oSoe++9VwoKCqRHjx7mnrpxotN0qE33PCo/5Abfo61rD21de2jr2kNbB3dbO74PEAAAgHU7QQMAANQ2AhAAALAOAQgAAFiHAAQAAKxDAKpFGRkZEhcXZ1aj6bPJcnJynK5SwNPtEfRhuhdddJE0b97cbHWwY8cOrzInT56UBx980Ozs/bOf/Ux+/etfn7GZJs7fpEmTPNtOuNHWvrNv3z658847TVs2bNhQOnXqZLb8cNP1K7p6Vjd81df1+Yc7d+50tM6BSB/HpFul6JYp2o5XXnmlPP30017PkqKtq2ft2rXSt29fsw2N/qxwP7PzfNpVn8owZMgQszmiblA8YsQIOX78uPgCAaiWzJ8/3+x5pMv8Nm/eLPHx8eYhrocOHXK6agFtzZo15hfuhg0bzIaYP/74o/Tq1ctsg+D26KOPygcffCALFy405ffv3y+33Xabo/UOdP/+97/l5Zdfls6dO3tdp61944cffpBf/OIXUq9ePVm2bJl8+eWXZu+zpk2bespMmTJFpk+fLpmZmWaj18aNG5ufKRpCUXWTJ0+WGTNmyEsvvSRfffWVOde2/dvf/uYpQ1tXj/4c1t91+sd/RarSrhp+vvjiC/Pz/cMPPzShSre48QldBo+a1717d9eDDz7oOT99+rQrJibGlZ6e7mi9gs2hQ4f0zzbXmjVrzHlBQYGrXr16roULF3rKfPXVV6ZMdna2gzUNXMeOHXO1adPGtXz5cteNN97oevjhh8112tp3Hn/8cVePHj0qfb20tNQVHR3tev755z3XtP3DwsJcb7/9di3VMjikpKS47r77bq9rt912m2vIkCHma9raN/TnwLvvvus5r0q7fvnll+Z9//73vz1lli1b5goJCXHt27fvgutED1AtOHXqlGzatMl077np5o56np2d7Wjdgk1hYaH5t1mzZuZfbXftFSrb9u3atZPLL7+ctq8m7XHTXdjLtqmirX3n/fffN7vj33777WZo9+qrr5ZXX33V83pubq7ZOLZsW+vzj3RonbY+P7q5rj466T//+Y85/+yzz2TdunXSp08fc05b14yqtKv+q8Ne+t+Cm5bX35/aYxTwO0Hb4MiRI2ac2b27tZuef/31147VK9joc+R0PooOHbh3Btf/wPSZc+Ufbqttr6/h/OijZ3QIV4fAyqOtfefbb781wzI6bK473mt7/+EPfzDtq48OcrdnRT9TaOvzM27cOPO8SA3r+nBu/Vn97LPPmqEXRVvXjKq0q/6rfwCUFRoaav7A9UXbE4AQVD0T27dvN3+9wff27NljnsWnY/H+8FiZYA/z+lfvc889Z861B0j/t61zJTQAwXcWLFggb775pnnEUocOHWTr1q3mDymduEtbBzeGwGpBZGSk+cui/GoYPdcn1+PCPfTQQ2aC3KpVq+Syyy7zXNf21SFIfSZcWbT9+dMhLp20f80115i/wvTQic46iVG/1r/caGvf0FUx7du397r285//3DwbUbnbk58pF+6xxx4zvUCDBg0yK+3uuusuM5nf/QBu2rpmVKVd9d/yC4V++uknszLMF21PAKoF2m3dtWtXM85c9i88PU9MTHS0boFO59Zp+Hn33Xdl5cqVZilrWdruupKmbNvrMnn9RULbn5+ePXvK559/bv5Cdh/aS6FDBe6vaWvf0GHc8ts56ByVK664wnyt/zvXXwBl21qHcXReBG19fk6cOOH1wG2lf7Dqz2hFW9eMqrSr/qt/UOkfX276c17/f6NzhS7YBU+jRpXMmzfPzG6fPXu2mdl+7733upo0aeLKz893umoB7f7773dFRES4Vq9e7Tpw4IDnOHHihKfMfffd57r88stdK1eudG3cuNGVmJhoDly4sqvAFG3tGzk5Oa7Q0FDXs88+69q5c6frzTffdDVq1Mj1xhtveMpMmjTJ/Ax57733XNu2bXP169fP1bJlS9d///tfR+seaIYNG+a69NJLXR9++KErNzfXtWjRIldkZKRr7NixnjK0dfVXjG7ZssUcGjemTp1qvv7uu++q3K69e/d2XX311a5PP/3UtW7dOrMCdfDgwS5fIADVor/97W/ml0P9+vXNsvgNGzY4XaWAp/9RVXTMmjXLU0b/Y3rggQdcTZs2Nb9EBgwYYEISfB+AaGvf+eCDD1wdO3Y0fzi1a9fO9corr3i9rsuIx48f74qKijJlevbs6dqxY4dj9Q1URUVF5n/D+rO5QYMGrlatWrn+9Kc/uUpKSjxlaOvqWbVqVYU/nzV0VrVdjx49agLPz372M1d4eLgrNTXVBCtfCNH/c+H9SAAAAIGDOUAAAMA6BCAAAGAdAhAAALAOAQgAAFiHAAQAAKxDAAIAANYhAAEAAOsQgAAAgHUIQAAAwDoEIAAAYB0CEAAAsA4BCAAAiG3+DwLChR9jSGacAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Solution\n",
    "import matplotlib.pyplot as plt\n",
    "df1['A'].plot.hist(bins=50)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "635bd54c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.194315Z",
     "iopub.status.busy": "2026-08-31T18:39:21.194239Z",
     "iopub.status.idle": "2026-08-31T18:39:21.195762Z",
     "shell.execute_reply": "2026-08-31T18:39:21.195550Z"
    },
    "tags": [
     "thebe-interactive"
    ]
   },
   "outputs": [],
   "source": [
    "### EXERCISE 2: Line Plot Styling\n",
    "# Goal: Show trend behavior for one feature.\n",
    "# Requirements:\n",
    "# 1) Plot `df1['B']` as a line plot.\n",
    "# 2) Use `figsize=(8, 4)` and `lw=2`.\n",
    "# 3) Set x-label to \"Index\" and y-label to \"B values\".\n",
    "# Stretch: Overlay a rolling mean with window=10 on the same axes.\n",
    "\n",
    "# Your code here\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0021f8e5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.196898Z",
     "iopub.status.busy": "2026-08-31T18:39:21.196830Z",
     "iopub.status.idle": "2026-08-31T18:39:21.236197Z",
     "shell.execute_reply": "2026-08-31T18:39:21.235960Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Solution\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "try:\n",
    "    df1\n",
    "except NameError:\n",
    "    rng = np.random.default_rng(0)\n",
    "    df1 = pd.DataFrame(rng.normal(size=(100, 3)), columns=['A', 'B', 'C'])\n",
    "\n",
    "ax = df1['B'].plot(kind='line', figsize=(8, 4), lw=2, label='B')\n",
    "df1['B'].rolling(window=10).mean().plot(ax=ax, label='Rolling mean')\n",
    "ax.set_xlabel('Index')\n",
    "ax.set_ylabel('B values')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "6939d6b6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.237504Z",
     "iopub.status.busy": "2026-08-31T18:39:21.237426Z",
     "iopub.status.idle": "2026-08-31T18:39:21.274574Z",
     "shell.execute_reply": "2026-08-31T18:39:21.274360Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Solution\n",
    "df1.plot.line(y='B', figsize=(8,4), lw=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b7da39a2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "43492b5b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.275730Z",
     "iopub.status.busy": "2026-08-31T18:39:21.275664Z",
     "iopub.status.idle": "2026-08-31T18:39:21.277172Z",
     "shell.execute_reply": "2026-08-31T18:39:21.276964Z"
    },
    "tags": [
     "thebe-interactive"
    ]
   },
   "outputs": [],
   "source": [
    "### EXERCISE 3: Scatter Relationship\n",
    "# Goal: Examine the relationship between `A` and `B`.\n",
    "# Requirements:\n",
    "# 1) Create a scatter plot with `x='A'` and `y='B'`.\n",
    "# 2) Set `figsize=(7, 5)`.\n",
    "# 3) Set title to \"A vs B\".\n",
    "# Stretch: Add `alpha=0.6` and compare readability.\n",
    "\n",
    "# Your code here\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "c94aed9c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.278266Z",
     "iopub.status.busy": "2026-08-31T18:39:21.278193Z",
     "iopub.status.idle": "2026-08-31T18:39:21.315628Z",
     "shell.execute_reply": "2026-08-31T18:39:21.315390Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xRQWuGLbVIE/nDDKHEACA6BHoeVyoAg3dDqys4SQdrtVMnlYJa9CZkZZirnVbmzwzjAsAQHgM3Xpc6xU03NRHr+xYnRmu1Uxe6zmEGpTq+brlXAEAcCMCPRgaMLktaEqGOYQAALgZQ7dwrWSYQwgAgJuR0YOrBeYK6pw8Ha7VTJ5b5hACAOB2BHpwNTfPIQQAwO0I9JAU3DiHEAAAt2OOHgAAgKUI9AAAACxFoAcAAGApAj0AAABLEegBAABYikAPAADAUgR6AAAAliLQAwAAsBQNky1y8KiuA8vqEQAA4FMEehaoqmuQ5Rv3yPpdh6WqrtGsBzvuxAKzHqwuIQYAALyJoVsLaJD3wvYSSUnxSb/u2eZat5dt3O30qQEAAAcR6FkwXKuZvPyun64Fm5GWYq51e8P7h+VQZa3TpwgAABxCoJfkdE6eDtfmZqW32K/buv9wZZ1j5wYAAJxFoJfk8rtmmDl5FTX1Lfbrtu7XwgwAAOBNBHpJrle3TFN4UXas1gzT1jU0mWvdHltUQPUtAAAeRtWtBbS6VumcvJLyapPJu3BE3+B+AADgTQR6FtAWKrPPKZJpo/qbOXn00QMAAIpAzyIa3BHgAQCAAOboAQAAWIqMXhJgaTMAANARBHouxtJmAACgMwj0kmBpM13lQpc20954uq0uPq0/WT4AABAWgV6SLG2m9LqxyS9Pbd4rr/7noDQ0+snyAQCANlGMkWRLmx06Wiul5dXS2NhksnwpKT6T5Vu2cbdj5woAANyJQC+Jljarrm+Uj8urJSs9VfrkZUtGWorJ8mnWT5sl64oYAAAAAQR6SbS02f7yGqmpb5LC7lkm2AvQrJ9m/7RZMgAAQABz9JJoabO0VJ/0zcuS3q2KLzTrp9k/LczwEtrOAAAQHoFeki1ttvLNfWZOXkpKisnkaZCnWT9d29YrwQ5tZwAAiAyBXpItbdY6y6dBjgZ5gf1ebzujgTEAALB4jt5DDz0kgwcPlqysLBkzZoxs2rQp7PHPPPOMDBs2zBx/6qmnyl//+ldxe5Zv0fSRMv+iU8y1bnslk9W67QwFKQAAeCjQe+qpp+Tmm2+W+fPny7/+9S/5whe+IJMnT5YDBw6EPH7dunVy+eWXy1VXXSVvvvmmTJs2zVy2b98ubqbBzdDCbp4Zrm2v7QwFKQAAHM/n9/v9YhHN4J155pny4IMPmu2mpiYZOHCg3HDDDTJ37tzjjr/sssvk2LFjsmrVquC+sWPHymmnnSa/+tWvIvo3KyoqJC8vT8rLyyU3NzeGjwahMnpz/7jN9A9sHuRqJk9/lDXD6bXgFwDgLdHEHVZl9Orq6mTLli0yadKk4D4tWtDt9evXh7yP7m9+vNIMYFvHq9raWvMkN7/AubYzeq3bY4sKCPIAALA10Dt06JA0NjZKnz59WuzX7dLS0pD30f3RHK8WLlxoIunARTOGSBwtPNECFM3gaUGKXnutIAUAgEhQddsB8+bNM/MAAzSjR7DnbNsZMnkAAFge6PXs2VNSU1Nl//79LfbrdmFhYcj76P5ojleZmZnmAve0nQEAAJYP3WZkZMjo0aNlzZo1wX1ajKHb48aNC3kf3d/8eLV69eo2jwcAAEgWVmX0lA6pXnnllXLGGWfIWWedJT/72c9MVe23vvUtc/vMmTOlf//+Zp6duvHGG+W8886TxYsXy9SpU2XFihXyxhtvyKOPPurwI0FHsCwaAAAWB3raLuXgwYNy1113mYIKbZPy4osvBgsu9uzZYypxA8aPHy/Lly+XO+64Q26//XY5+eSTZeXKlTJixAgHHwWixbJoAAB4oI+eE+ij57zH/vF+cFm01msAsywaAMAmnu2jB29iWTQAAEIj0EPSY1k0AABCI9BD0svvmmHm5OlwbXO6rfu1MAMAAC8i0EPSY1k0AAA8UnULbwosf6Zz8nRZNM3ksSwaAMDrCPRgBZZFAwDgeAR6sArLogEA8Bnm6AEAAFiKQA8AAMBSBHoAAACWItADAACwFIEeAACApai6hWfXx9Wl02jDAgCwGYEePKWqrkGWb9wj63cdNuvgamNlXVVDGytrLz4AAGzC0C08RYO8F7aXSEqKT/p1zzbXur1s426nTw0AgJgj0IOnhms1k5ff9dOmyhlpKeZat3XpNF0fFwAAmxDowTN0Tp4O1+ZmpbfYr9u6X5dOAwDAJgR68Iz8rhlmTl5FTX2L/bqt+7UwAwAAmxDowTN6dcs0hRdlx2rNMG1dQ5O51u2xRQVU3wIArEPVLTzVSkWra5XOySsprzaZvAtH9A3uBwDAJgR68GQrlWmj+ps5efTRAwDYjEAP1rdS0apabaWic/F0W80+p4gADwBgPebowUq0UgEAgEAPlqKVCgAABHqwFK1UAAAg0IOlaKUCAADFGLAYrVQAAF5HoAdrZWekmupaWqkAALyKQA/W0+COAA8A4EXM0QMAALAUGT2gE0uqkSkEALgZgR4QYQAXbkk1nQ8IAIDbEOjB8yIN4NpbUg0AALdhjh48LxDApaT4TACn17q9bOPuTi2ppvcpLj3KcmsAAMeQ0YOntQ7gVOBaAzhtzaLbgSXVNBBsvaSa9ujT9i2B+zHECwBwCzJ68LRI18Rtb0k1EX8wexdJhhAAgEQgowdPax7ANS/AaL0mbmBJtcCcPA0E9ZiDR2ukV06m/OjFYhMYpqb4ZH9FjZyQnx02QwgAQCKQ0YOnRbMmrg696hJqfr/fDNfqtQZ5hyrrgtm7xia9rUYOtJqX1zpDCABAIpDRg+dFuiZu6yXVdLhWM3k9u302v69PXpa8e+ColB6pkZN6NUpWemrIDCEAAIlAoAfPi3ZN3MCSajonr3WBRnZ6qvTLy5YPDlXK/vJq6du9iwnyNEOowSPDtgCARCLQAzq4Jm5b8/s0w1dd3yhpqSlhM4QAAMSbNXP0PvzwQ7nqqqtkyJAhkp2dLSeeeKLMnz9f6urCz4maMGGC+Hy+Fpdrr702YecN++b3lVfXyWVnDpQHLjtN5l90iiyaPtJkDGmtAgBINGsyejt37pSmpiZ55JFH5KSTTpLt27fL1VdfLceOHZOf/OQnYe+rxy1YsCC43aVLlwScMWyf36eBHUO1AAAnWRPoTZkyxVwCioqKpLi4WB5++OF2Az0N7AoLCxNwlvD6/D4AABLJmqHbUMrLyyU/P7/d45YtWyY9e/aUESNGyLx586Sqqirs8bW1tVJRUdHiAm/T4G5oYTeCPACAq1iT0WvtvffekyVLlrSbzfvGN74hgwYNkn79+sm2bdvktttuM5nAZ599ts37LFy4UO655544nDUAAEDs+Pza9dXF5s6dK/fff3/YY9555x0ZNmxYcHvfvn1y3nnnmUKLxx57LKp/b+3atTJx4kQTKGpBR1sZPb0EaEZv4MCBJoOYm5sb1b8HAAAQDY078vLyIoo7XB/oHTx4UA4fPhz2GJ2Pl5HxaSPajz/+2AR4Y8eOlaVLl0pKSnSj01q8kZOTIy+++KJMnjw55k84AABAZ0QTd7h+6LZXr17mEgnN5J1//vkyevRoeeKJJ6IO8tTWrVvNdd++faO+LwAAgJtYU4yhQZ5m8k444QQzL08zgaWlpebS/Bgd4t20aZPZ3rVrl9x7772yZcsW04fv+eefl5kzZ8q5554rI0eOdPDRAAAAdJ7rM3qRWr16tZlXp5cBAwa0uC0wOl1fX28KLQJVtTrc+9JLL8nPfvYzM2Sr8+ymT58ud9xxhyOPAQAAIJZcP0cvGTBHDwAAuDHusGboFgAAAC0R6AEAAFiKQA8AAMBSBHoAAACWItADAACwFIEeAACApQj0AAAALEWgBwAAYCkCPQAAAEtZswQaEA8Hj9ZK2bE6KcjJkJ45mU6fDgAAUSHQA0KoqmuQ5Rv3yPpdh6WqrlG6ZKTKuBML5IoxgyQ7I9Xp0wMAICIM3QIhaJD3wvYSSUnxSb/u2eZat5dt3N3pDGFx6VE5VFkbs3MFAKAtZPSAEMGYZvLyu2YGh2sD1xvePyzTRvWPehiXDCEAwAlk9IBWdE6eBmO5Wekt9uu27j9cWeeaDCEAAOEQ6AGt5HfNMBm3ipr6Fvt1W/drYUZnMoQZaSnmWrc1Q8gwLgAgXgj0gFZ6dcs0w6plx2pNEFbX0GSudXtsUUHUw7bxyBACABAJAj0gBJ07d+GIvuL3+6WkvNpc67budzpDCABApCjGAELQAonZ5xSZwgvNuHWmj14gQ6hz8gKZPA3yNEOowSP9+QAA8UKgB4ShQVgsArFAJlDn5GmGUDN5Hc0QAgAQKQI9IMkyhAAARIpAD3BhhpCl1wAAjgV6hw8floKCAvP13r175de//rVUV1fLV7/6VTnnnHNicmKAF9FYGQDgWNXtv//9bxk8eLD07t1bhg0bJlu3bpUzzzxTfvrTn8qjjz4q559/vqxcuTKmJwh4CY2VAQCOBXrf//735dRTT5XXXntNJkyYIF/5yldk6tSpUl5eLp988ol85zvfkUWLFsX0BAHbBda/LS6toLEyACCmfH5tEBahnj17ytq1a2XkyJFSWVkpubm5snnzZhk9erS5fefOnTJ27Fg5cuSIeElFRYXk5eWZgFefE6Ajw7RNfr+UVtTIqIHdJTvjs1kV2rBZK3XnX3SKDC3s5ug5AwCSK+6IKqNXVlYmhYWF5uucnBzp2rWr9OjRI3i7fn306NGOnjfg6WHazPQUOVJVJ2+XVLQ4jsbKAICErYzh8/nCbgPo2Pq3/bt3kT65WbK/okY+PlLd6aXXAACIuup21qxZkpn56RtOTU2NXHvttSazp2prmUMERLP+rWbymhveN9cEeLUNjTRWBgAkNtC78sorW2zPmDHjuGNmzpzZ+bMCLNd8/dvmmToN/k7qnSPfnzJMdPYsffQAAAkL9J544olO/WMAIlv/9nN9nCm6CNWomebNAJC8WBkDcIib1r8N1ah59KAeZg7uGx+W0bwZALzQXgWh0V4FnaEFF06vf/vYP9432UUtDglkF98pKRfx+2R4v9zjMo66bi8AwLL2KgBiT4M77Y/nVJAXqgK4a2aa1NR/WhSSk5lG82YASFIEeoDHBSqANWsXUFvfKD7xif6nXwfoMXqsZiABAO5HoAd4XPMK4IDM9FTxi1/0P/06kubNgaXcyPYBgHtQjAF4XKgK4GO1DZKVnmLm6FXWNkiKz9dijl7LljDHF3JQtAEA7kCgBySxWLU+CVUB/Ok+n2zZXRa2KjiwlJvO39MG0BoQBoJGijYAwFkEekASinUWTe+jQdm0Uf2PqwA+VDmgzarg1oUcKnCtQaN+P3rvAYBzmKMHJKFAFi0lxWeyaHqt28s27o55BXC4quBQhRyKog0AcAcCPSDJhGqH4lTrk1CFHO0VbQAAEodAD0gybsqiBQo5tEhDA8y6hiZzrdtjiwoYtgUAhxHoAUnGbVk0nReoRRq6yI4Wbei1U0u5AQAsDvQGDx5s1uZsflm0aFHY+9TU1Mj1118vBQUFkpOTI9OnT5f9+/cn7JyBZM+iBQo5Fk0fKfMvOsVc6zatVQDAedZV3S5YsECuvvrq4Ha3bt3CHn/TTTfJX/7yF3nmmWfMunFz5syRSy65RP75z38m4GyB2LVDcTqLpgEmQ7UA4C7WBXoa2BUWFkZ0rC4G/Pjjj8vy5cvlS1/6ktn3xBNPyPDhw2XDhg0yduzYOJ8t0PGeeW21QwEAwNpAT4dq7733XjnhhBPkG9/4hsnYpaWFfphbtmyR+vp6mTRpUnDfsGHDzH3Xr1/fZqBXW1trLgEVFRVxeCRA+z3zyKIBADwT6H33u9+V008/XfLz82XdunUyb948KSkpkQceeCDk8aWlpZKRkSHdu3dvsb9Pnz7mtrYsXLhQ7rnnnpifPxAKK08AAKwtxpg7d+5xBRatLzt37jTH3nzzzTJhwgQZOXKkXHvttbJ48WJZsmRJi+xbLGgAqcO+gcvevXtj+v0BN/bMAwAkH9dn9G655RaZNWtW2GOKikJnNcaMGSMNDQ3y4YcfytChQ4+7Xefy1dXVyZEjR1pk9bTqNtw8v8zMTHMBEtUzTzN5rXvmaRGGzs9j6BYAkLSBXq9evcylI7Zu3SopKSnSu3fvkLePHj1a0tPTZc2aNaatiiouLpY9e/bIuHHjOnXeQKx75jUP6ML1zGtdtAEA8C7XB3qR0uKJjRs3yvnnn28qb3VbCzFmzJghPXr0MMfs27dPJk6cKL/73e/krLPOMu1UrrrqKjPkq/P6cnNz5YYbbjBBHhW3cFPPvMCcPM3kaZCnPfO0nUrzQC5c0QY97QDAm6wJ9HQodcWKFXL33XebOXlDhgwxgZ4GcQFaYasZu6qqquC+n/70pybrpxk9vd/kyZPll7/8pUOPAuh4z7xEFm2QNQSA5ODz63pF6BRtr6LZQS3M0KwgEA9aeNFWzzwNvOb+cZukpPha3Kb30V9xXa0iFgEZWUMASK64w/VVtwA+pYHa0MJuIQO2QNGGDu02p9u6XwPEWAhkDTWg1KyhXuv2so27Y/L9AQCxRaAHWFa00Vy4oo1o0eoFAJIPgR5gUdGGFmlowFXX0GSudXtsUYHoBI3i0qOdCsZilTXUgLGz5wIA8FgxBuB1oYo2Jg7rI/WNfjN/r7Nz6jrS6qU55vcBQOIR6AGW0GBJq2unjeofLNpY+ea+mFXiRtPqJRSWcgOAxGPoFrC0aEOHa2M9p06zbxrUaSWvZg31OlSrl9aY3wcAziCjB1gqHsunhcoaRvI9WMoNAJxBoAdYqrNz6sLR7xdJYBZorCzij9u5AADaRqAHWKqzc+o6I1ThRYpP5NDR2oSfCwB4GXP0AIt1dE5dPBor6zy8njkZCT8XAPAyMnqAxTo6p64zWhdeqMC1BnffnzLMFIqwTi5sxDrQcBsCPcADIp1TFwvtFV5okKdVwYBN6BMJt2LoFkDSLccGuA3rQMOtCPQAJHQ5NoazYBv6RMLNCPQAWFMEAjghVutAA/HAHD3Ao+I5adyJIhDAxp6VQGcR6AEek8hJ44ksAgG82LMSaA9Dt4DHMGkciD2mK8CtyOgBHhKux51OGtehVrIPQPSYrgC3IqMHeAiTxoH40uBO+0QS5MEtCPQAD6HHHQB4C4Ee4CH0uAMAb2GOHuAxgcnhOidPJ41rJo9J4wBgJwI9wGOYNA4A3kGgB3gUPe4AwH7M0QMAALAUgR4AAIClCPQAAAAsRaAHAABgKQI9AAAASxHoAQAAWIpADwAAwFIEegAAAJYi0AMAALAUgR4AAIClCPQAAAAsRaAHAABgKQI9AAAASxHoAQAAWIpADwAAwFIEegAAAJayJtB75ZVXxOfzhbxs3ry5zftNmDDhuOOvvfbahJ47AABAPKSJJcaPHy8lJSUt9t15552yZs0aOeOMM8Le9+qrr5YFCxYEt7t06RK38wQAJJ+DR2ul7FidFORkSM+czDb3AW5jTaCXkZEhhYWFwe36+np57rnn5IYbbjBZunA0sGt+XwCJxRsm3KqqrkGWb9wj63cdlqq6RumSkSqjB/Uw7ytvfFgW3DfuxAK5Yswgyc5IdfqUATsDvdaef/55OXz4sHzrW99q99hly5bJk08+aYK9iy66yGQCw2X1amtrzSWgoqIiZucNeP1NlDdMuIn+fL6wvUTyu2ZKv+7ZUlFTL8s37Rbx+2R4v9zgPj1GzT6nyOlTBrwR6D3++OMyefJkGTBgQNjjvvGNb8igQYOkX79+sm3bNrntttukuLhYnn322Tbvs3DhQrnnnnvicNaAt4R6E+UNE27KNOuHEP35DGSau2amSU19k+g4UU5mmmSkpQRv2/D+YZk2qn+Hs9JktuHJQG/u3Lly//33hz3mnXfekWHDhgW3P/roI/nb3/4mTz/9dLvf/5prrgl+feqpp0rfvn1l4sSJsmvXLjnxxBND3mfevHly8803t8joDRw4MMJHBKCtN9FYvWECsaBBl2aa9UNIQG19o/g0zPP5zddZ6Z9mnnOz0qWkvFoOV9ZF/XNLZhueDvRuueUWmTVrVthjiopafvJ/4oknpKCgQL761a9G/e+NGTPGXL/33nttBnqZmZnmAiC2b6KdfcMEYim/a4YJujTTHPhZzExPFb/4Nc4zXwfoMXqsZuOizd6tfHMfmW14N9Dr1auXuUTK7/ebQG/mzJmSnp4e9b+3detWc62ZPQCJfRPtyBtmKAyBIRZ6dcs0mbVA0KUfQo7VNkhWeoqZo1dZ2yApPp/5mS07VisXjujb7s9b6+xdaopP9lfUyAn52WS2o8DvuEWBXrTWrl0rH3zwgcyePfu42/bt22eGZX/3u9/JWWedZYZnly9fLl/+8pdNBlDn6N10001y7rnnysiRIx05f8DLb6LRvGGGwhAYYk1/dgJBl2aa9Wfq030+2bK7LLhPf2YDx0YzL/XjI9VSUl4jWRkp0jv3s+w2me3Q+B2PXpqNRRjaU6/5nL3mLVe00KKqqirYkuWll16Sn/3sZ3Ls2DEzz2769Olyxx13OHDmgPeEehON9A0z2uKOi0/rTwYAUdPgQYdPNbOmQVfzn59DlQOO2xftvNQ+eVny7oGjUnqkRk7q9dmcv3CZbS9nsyjgip7Pr2Od6BQtxsjLy5Py8nLJzc11+nSApHOosjaqN8xQ9M1v7h+3SUqKr8X30GGxvWVVUpiXJQ2NfjIAcExx6VG5+/kdJkDRat2AHfvK5YNDlXJq/zzp271Li8x28+DF69mstn7H9e+HhjKLpo/0TOBbEUXcYc0SaACSl/5xHlrYrUN/pPWPv76B7jpYad78dMiruUNHa6W0vFoaG5vMG6y+SWgGYNnG3TF8BEB081Kb69ktUwrzsiUtNcVktjVoCWS2Az/fGswEsln6M+zFn+VAAVfr33Hd1v36YREeGLoF4A2hJrXrm2GXZnOdqusb5ePyajMc1ifv0ywKE93htnmp5dV1ctmZA1sMD2tAqAEcRRuJKeCyGRk9AEmpdXZDh66q6xukuLTSBHx1DU2yv7zGNLct7J4VnPukyADAKZql02ydZu1aZ++aZ7Zb/3w3NunxNXKg8rNVmbz2sxwIlHVYO/A7rte6PbaowPpAt6PI6AGwptny5/rkmvl42si2pLZB0lJ90jcvS3q3egMgAwA3FnfEumjDRrEu4PICAj0A1jRb7tElQ2rqG+X680+S7l0yWjSjTUlJiUkLFyAW9GevrZ+/UD/f2emp0i8v2xRt7C+vPq5owys/y5EEymiJQA+AdXN1TuydE9wfLgPg5TYVSL6fby3a0HmngaKNWGWzkvH3IFygjJYI9ABY3Ww5VAag9UR3r7WpgD1FG50JdrzersUrCPQAeGKuTvMMwGP/eJ+mq0jan28NwmKRzaL5sDfQMDkGaJgMJE+zZZquwmvNxEPh9yC50TAZgGdE22yZpqvwSjPxcPg98A4CPQCe0tbqBF5rUwFvs/H3oPkqIvgMc/QAeEo0hRyArWz6PaCoJDwyegA8J9zqBIBXMk22/B54fQ3g9lCMEQMUYwDJKV4T3YFkyjQl8++BV4tKKijGAADnJroDyZRpSubfA4pK2kegByBpuHUIDGit9Xq1GWkp5lq3tTceP8OxYWNRSaxRjAHA9ZJlCAzulsilvtpaj1kzTTofTjNNbs6guWlZtHDnYlNRSbwQ6AFwPTr4I9k+KLS3HrNbM01u+lAV6bmwnnV4BHoAkmoITAWu9Q+7rvvp1T/gcO8HhWTNNMXruYo04Gp+3Mo390V0LqxnHR6BHgBXCvzB/6QquYfA4N0PCtGux2zjcxVpVq71cakpPtlfUSMn5GdHfC6sZx0agR4AVwn1B18nrnfJSJHeudlJMwQGd3ByrlyoTJObP5TE47mKNEPY+riPj1RLSXmNZLX6vY/kXBgFaImqWwCubkmhb5bV9Q1SXFppAr66hiZzrUNgY4sKPPUHG8lZlZks7Uti/VxFWnkc6rg+eVmSlZ4ipUdqpKa+MapzoeVKSwR6AFyjrTeGz/XJNQFfbX1jUnfwR+IF5srpB4NIPyh4tY1PR56rcCINuEIdl52eKv3ysk2Qt7+8OqpzcUNw7yYM3QJw/dBRjy4Z5g/+9eefJN27ZLh+CAzOaz6pP9K5cm6qOHVKLOcVRlp53NZxPbtlSnV9o6SlpkR1LslaCBMvBHoAXKO9N4YTe+d47o80ohMuWGtvrhxtfGI7rzDSgKut48qr6+SyMwd26FySrRAmngj0ALgGn8TRWe0Fa0zgj0zzCtZEZFPDHafBZ7TnEi5gPeix3noEegBchU/iycGNb5adCdaSfSWLZM+mxqtCuWezgNWrQ/MEegBcJdlaUniNm98sOxOsJetKFjZkU2OVSezs+dmKqlsArpQsLSm83v5Gr3VbVyFwWmeqLWNdceo1kbZS4fwSj0APADwgFi1D3P5m2dlWKpqV1GkC2r6HNj7R6UjvukS2sSnzcG89hm4BwGKxHGpNhnlssWilwrSB6EUz9O3E8H++h4fmCfQAwOKChVjOS0qGN8tI53jGYj4ZOlYx78RcuV4erugn0AMASwsWYt0yJJneLMNN6qeVinPZVCef+ys8WtFPoAcAllb3xWOo1YY3y2QYgk7GDHUk2VQnn/tsj1b0E+gBQAy5KVsUj6FWG94sk2EIOpkz1OGyqW547nvGsYWLG1F1CwCWVvfFs2VIMre/oZWKcy11eO4Tj0APAGLY8qEzvdziIZEtQxLZLqOzvNpKJdrXKB4tdbz63DuFoVsAiGEBhdsKFhIx1OqW4hOvDUEn4jWKx5w6rz33TiPQA4AYFFB0ZCH3RGJpKW/P1+roaxTPOXVeee6dRqAHwPM6U0Dh9ca7bio+8bJwFbGdeY3clqFG9Aj0AHheZ4anvN54t73n7r39ldYHu24fku3s8KsbM9SwsBjjvvvuk/Hjx0uXLl2ke/fuIY/Zs2ePTJ061RzTu3dvufXWW6WhoSHs9y0rK5MrrrhCcnNzzfe96qqrpLKyMk6PAoAbdbSAwu1rvyZCW8/dJ1V15vl56JX35O7nd8htf9gmj/3jfamua3TsXL1aEdvZAqHAnLpF00fK/ItOMde67db5l0jSQK+urk4uvfRSue6660Le3tjYaII8PW7dunXy29/+VpYuXSp33XVX2O+rQd6OHTtk9erVsmrVKnnttdfkmmuuidOjAOBGHW354KZWKm577v6zv8IEdVnpqZ1uyQHp1AeNWLU0SeaWOl6WNIHePffcIzfddJOceuqpIW//+9//Lm+//bY8+eSTctppp8mFF14o9957rzz00EMm+AvlnXfekRdffFEee+wxGTNmjJx99tmyZMkSWbFihXz88cdxfkQA3KQjLR/c1krFLc9dTX2jZKenydDCnJhnOpOphUu8RfNBg5Ym3mXNHL3169ebILBPnz7BfZMnTzYZQM3YjRo1KuR9dLj2jDPOCO6bNGmSpKSkyMaNG+VrX/tayH+rtrbWXAIqKipi/ngAJFZHWj4wUT30c6fDtj9/6V3p3iUzZi05ws1Fq6xtCLs0l63aq4gV8ZugOPC8xKOlSXvLotnmYIjH6/bnwJpAr7S0tEWQpwLbeltb99G5fM2lpaVJfn5+m/dRCxcuNBlGAPaJtuUDE9WPf+70jS/WLTlCFb2s2vaxbHz/sDT5JWn698VSWx80Dh6tkV45mfKjF4uPe15i1dIkGXsnxvrxjh7UQ3w+n7zxYZmrnwNHh27nzp1rnqRwl507d4rbzJs3T8rLy4OXvXv3On1KABzCRPX4L3PV1lw0fXPd9GGZNDT5PTsPMNSQrAZ5hyrrYrJkWSKWRUsGy0M83uWbdsuyDbtd/xw4mtG75ZZbZNasWWGPKSqKrNlmYWGhbNq0qcW+/fv3B29r6z4HDhxosU+rdLUSt637qMzMTHMBgGRu/hrpkFNHhqZimekM1R6kur5RKqobJNXnk64ZqcHgz2v9+1oPm+twrWbyenaLX19Dr/VOPBji8XbNTJOa+ibxiUhOZpqrf/4cDfR69eplLrEwbtw404JFA7fAcKxW0mrblM9//vNt3ufIkSOyZcsWGT16tNm3du1aaWpqMsUZAGCjSIfdOjM8F8tlrkLNRautb5TahkbJSkuRzPTUmMwDtOGDhs7Ji/WSZYlYFs3NykI8Xv3582mY5/Obr7W63K3PQdJU3WqPvK1bt5prbaWiX+sl0PPuggsuMAHdN7/5TXnrrbfkb3/7m9xxxx1y/fXXB7NvmvEbNmyY7Nu3z2wPHz5cpkyZIldffbW57Z///KfMmTNHvv71r0u/fv0cfbwAEK/K1EiH3WIxPBeLlhyhhoKP1TVIk98v3bLTg2+yXqx4dqIS3GvV5vkhHq9+uPCLXxOoLT5o6DGpKT5TkOSWyvCkKcbQfnjaGy8gUEX78ssvy4QJEyQ1NdX0wdMqW83Ude3aVa688kpZsGBB8D5VVVVSXFws9fWfvVjLli0zwd3EiRNNte306dPlF7/4RYIfHQB0XiQZuEiH3dw2PBdqKPiswflmLpq+oXq14tmJSnCvVJsfbDZlofXjPVbbIFnpKSJ+n6n6TvF9Gtxp/0htLaRV524pzvD5deYmOkXbq+Tl5ZnCDB0qBmAPt7dOaE5XnghUprZ+8w0sXK+ZPl2pQjN0Oq8oQLNkGkBpQYlm4CI9LtE0qAsMBXfNSDPZRQ3+AoGtFns4/cbqNG1UHe/nJRH/hps+MJ0xuIeGTLJld1mLqtvm+/RvhT4v2j9SWwuF+v1zIu5ImoweACRSsrWPiDQD117vtcCwW6THOV30Eo/ecMkulvMjnfw3nLI8RCufl97ZbwI2rapv/XgPVQ4wazrrcn86jcANGfCknKMHAImUbO0jIl0lob3WJzrGo9k8n09i2iIlnliay7nnxbbn/mA7y8qp1o9Xv+7RNUMaGv2uXA6RQA8AOriGqJtEM0E+VO+1icP6SH2jX+b+cZsZsr3tD9ukvrFJJg0vZNkseEZZB9evdnOBCkO3AGBB+4hoJsiHGnZb+ea+qIarABvld3DKgpsLVMjoAUASfToPJ9qF6wPDbjpcG+1wFWBjSyJfJ6YsRPv7lyhk9AAgiT6dx2OCfDJmMIF4VthOGl5oqmmjWdXFrQUqBHoAEOclvNy+HJtbK2wBt1XYJuNyiAR6AJBEn87jIVkzmEC8WxINdaBXZKwR6AFAlJ/Ok6mJshcymEBHlHlkygKBHgA43ETZDYGjlzKYgJemLBDoAUAn5vMEhjs7ssSRG1ffcNv8IiBeenlkygLtVQDAoSbKybb6RqxbWbix8TS85QqXtkSJJTJ6AODAfJ5I16a1iRszmPC2bA9MWSCjBwAONFHu6FJLycyrGUy4X0/L1uxtjkAPAKKYz9ORjvk2rb7hpfWDARsQ6AGAA/N5Yh04up0XM5iAGzBHDwASOJ+neSsVL/Wu80orC8BtCPQAIAEtSMIVIoQKHN3QWy+WvNLKAnAbAj0AcEEPvkCgY3NlqpcymIBbEOgBQJxF00ol2qbMyZT5i3boO5keG+BWBHoA4JIefNEEhMmc+Wtv6DuZHxvgNlTdAkCcRdpKJZrKVJt70tn82IBEI9ADgDiLtJVKpAGhzT3pbH5sgBMI9ADAJT34Ig0Ibe5JZ/NjA5zAHD0AcFEhQiSVqTb3pLP5sQFOINADABcVIkQSENrck87mxwY4gUAPAJIwILS5J53Njw1INJ9fJ4qgUyoqKiQvL0/Ky8slNzfX6dMB4CE6h6+jy7G5nc2PDUhU3EFGDwA8thxbsrD5sQGJQtUtAACApQj0AAAALMXQLQAkCdZ+BRAtAj0AcDnWfgXQUQzdAoDLsfYrgI4i0AMAF2PtVwCdQaAHAC7G2q8AOoNADwCSZO3X5mxb+1Uzl8WlR8lQAjFGMQYAuJjta79SaALEFxk9AHA5DXo0qNMVK3XtV722Ze1XCk2A+CKjBwAup5mt2ecUybRR/a1a+7V1oYkKXGuhiT5eGx4n4CQyegCQJDToGVrYzZrgh0ITIP4I9AAAjvBKoQngpKQJ9O677z4ZP368dOnSRbp3737c7W+99ZZcfvnlMnDgQMnOzpbhw4fLz3/+83a/7+DBg8Xn87W4LFq0KE6PAgDQutBEC0u02rauoclc6/bYogJrMpeAk5Jmjl5dXZ1ceumlMm7cOHn88cePu33Lli3Su3dvefLJJ02wt27dOrnmmmskNTVV5syZE/Z7L1iwQK6++urgdrdu3eLyGAAALQUKSnROnhaaaCbPlkITwA2SJtC75557zPXSpUtD3v7tb3+7xXZRUZGsX79enn322XYDPQ3sCgsLY3i2AAAvF5oAbpE0Q7cdUV5eLvn5+e0ep0O1BQUFMmrUKPnxj38sDQ0NYY+vra2VioqKFhcAQMfZVmgCuEXSZPSipUO3Tz31lPzlL38Je9x3v/tdOf30001AqPeZN2+elJSUyAMPPNDmfRYuXBjMMAIAALiVoxm9uXPnHlcI0fqyc+fOqL/v9u3b5eKLL5b58+fLBRdcEPbYm2++WSZMmCAjR46Ua6+9VhYvXixLliwxWbu2aDCo2cLAZe/evVGfIwAAgNUZvVtuuUVmzZoV9hidaxeNt99+WyZOnGgKMe64446oz2nMmDFm6PbDDz+UoUOHhjwmMzPTXAAAANzM0UCvV69e5hIrO3bskC996Uty5ZVXmnYsHbF161ZJSUkxFbwAAADJLGnm6O3Zs0fKysrMdWNjownI1EknnSQ5OTlmuFaDvMmTJ5vh2NLSUnO7tlcJBJObNm2SmTNnypo1a6R///6mKnfjxo1y/vnnm8pb3b7ppptkxowZ0qNHD0cfLwAAgGcCvbvuukt++9vfBre1Qla9/PLLZo7dH/7wBzl48KDpo6eXgEGDBplhWFVVVSXFxcVSX/9pF3Ydfl2xYoXcfffdZk7ekCFDTKCngSIAAECy8/n9fr/TJ5HstL1KXl6eKczIzc11+nQAAIDFKqKIO6zuowcAAOBlBHoAAACWItADAACwFIEeAACApZKm6tbNAvUsrHkLAADiLRBvRFJPS6AXA0ePHjXXAwcOdPpUAACAh+KPvLy8sMfQXiUGmpqa5OOPPzZNl3V93nhE7hpE6pq6tG9xHq+Hu/B6uAevhbvwerhHrF8LDd00yOvXr59ZzSscMnoxoE/ygAED4v7v6A8Hv6zuwevhLrwe7sFr4S68Hna+Fu1l8gIoxgAAALAUgR4AAIClCPSSgK7JO3/+fHMN5/F6uAuvh3vwWrgLr4d7OPlaUIwBAABgKTJ6AAAAliLQAwAAsBSBHgAAgKUI9AAAACxFoJcEHnroIRk8eLBkZWXJmDFjZNOmTU6fkvUWLlwoZ555plntpHfv3jJt2jQpLi5ucUxNTY1cf/31UlBQIDk5OTJ9+nTZv3+/Y+fsJYsWLTKr0Hzve98L7uP1SJx9+/bJjBkzzHOdnZ0tp556qrzxxhvB27XG76677pK+ffua2ydNmiTvvvuuo+dsq8bGRrnzzjtlyJAh5rk+8cQT5d57722xBiqvR/y89tprctFFF5kVKvRv0sqVK1vcHslzX1ZWJldccYVppNy9e3e56qqrpLKyMmbnSKDnck899ZTcfPPNpiz7X//6l3zhC1+QyZMny4EDB5w+Nau9+uqrJmjYsGGDrF69Wurr6+WCCy6QY8eOBY+56aab5M9//rM888wz5nhdBu+SSy5x9Ly9YPPmzfLII4/IyJEjW+zn9UiMTz75RL74xS9Kenq6vPDCC/L222/L4sWLpUePHsFjfvSjH8kvfvEL+dWvfiUbN26Url27mr9bGowjtu6//355+OGH5cEHH5R33nnHbOvzv2TJkuAxvB7xo+8J+r6sCZlQInnuNcjbsWOHea9ZtWqVCR6vueaa2J2ktleBe5111ln+66+/Prjd2Njo79evn3/hwoWOnpfXHDhwQD8e+1999VWzfeTIEX96err/mWeeCR7zzjvvmGPWr1/v4Jna7ejRo/6TTz7Zv3r1av95553nv/HGG81+Xo/Eue222/xnn312m7c3NTX5CwsL/T/+8Y+D+/T1yczM9P/+979P0Fl6x9SpU/3f/va3W+y75JJL/FdccYX5mtcjcfTvzZ/+9KfgdiTP/dtvv23ut3nz5uAxL7zwgt/n8/n37dsXk/Mio+didXV1smXLFpPqbb6urm6vX7/e0XPzmvLycnOdn59vrvV10Sxf89dm2LBhcsIJJ/DaxJFmWadOndrieVe8Honz/PPPyxlnnCGXXnqpmdYwatQo+fWvfx28/YMPPpDS0tIWr4WuyanTTngtYm/8+PGyZs0a+c9//mO233rrLXn99dflwgsvNNu8Hs6J5LnXax2u1d+pAD1e3+s1AxgLaTH5LoiLQ4cOmfkXffr0abFft3fu3OnYeXlNU1OTmQumw1UjRoww+/SXNyMjw/yCtn5t9DbE3ooVK8z0BR26bY3XI3Hef/99M1SoU0puv/1283p897vfNc//lVdeGXy+Q/3d4rWIvblz50pFRYX5YJOammreM+677z4zHKh4PZwTyXOv1/qBqbm0tDSTVIjV60OgB0SQRdq+fbv5lAxn7N27V2688UYzh0WLkuDsBx/NPvzwhz8025rR098PnYOkgR4S6+mnn5Zly5bJ8uXL5ZRTTpGtW7eaD6ZaHMDrAcXQrYv17NnTfEJrXTmo24WFhY6dl5fMmTPHTI59+eWXZcCAAcH9+vzr0PqRI0daHM9rEx86NKsFSKeffrr5tKsXLbjQSc76tX5C5vVIDK0e/PznP99i3/Dhw2XPnj3m68Dzzd+txLj11ltNVu/rX/+6qX7+5je/aQqTtHOA4vVwTiTPvV63Lq5saGgwlbixen0I9FxMh0JGjx5t5l80/zSt2+PGjXP03Gyn82o1yPvTn/4ka9euNa0LmtPXRasOm7822n5F3+x4bWJv4sSJ8u9//9tkKwIXzSrp8FTga16PxNApDK1bDen8sEGDBpmv9XdF36CavxY6tKjzjXgtYq+qqsrM52pOEwT6XqF4PZwTyXOv1/oBVT/MBuh7jr5+OpcvJmJS0oG4WbFihanQWbp0qanOueaaa/zdu3f3l5aWOn1qVrvuuuv8eXl5/ldeecVfUlISvFRVVQWPufbaa/0nnHCCf+3atf433njDP27cOHNBYjSvulW8HomxadMmf1pamv++++7zv/vuu/5ly5b5u3Tp4n/yySeDxyxatMj8nXruuef827Zt81988cX+IUOG+Kurqx09dxtdeeWV/v79+/tXrVrl/+CDD/zPPvusv2fPnv7vf//7wWN4PeLbCeDNN980Fw2pHnjgAfP17t27I37up0yZ4h81apR/48aN/tdff910Frj88stjdo4EeklgyZIl5g0sIyPDtFvZsGGD06dkPf2FDXV54okngsfoL+r//u//+nv06GHe6L72ta+ZYBDOBHq8Honz5z//2T9ixAjzIXTYsGH+Rx99tMXt2lbizjvv9Pfp08ccM3HiRH9xcbFj52uziooK83ug7xFZWVn+oqIi/w9+8AN/bW1t8Bhej/h5+eWXQ75XaAAe6XN/+PBhE9jl5OT4c3Nz/d/61rdMABkrPv1fbHKDAAAAcBPm6AEAAFiKQA8AAMBSBHoAAACWItADAACwFIEeAACApQj0AAAALEWgBwAAYCkCPQAAAEsR6AEAAFiKQA8AHLB+/Xqz+PzUqVOdPhUAFmMJNABwwOzZsyUnJ0cef/xxKS4uln79+jl9SgAsREYPABKssrJSnnrqKbnuuutMRm/p0qVOnxIASxHoAUCCPf300zJs2DAZOnSozJgxQ37zm98IgysA4oFADwASTIdrNcBTU6ZMkfLycnn11VedPi0AFmKOHgAkkM7HGzFihOzbt0969+5t9s2ZM8cEe//3f//n9OkBsEya0ycAAF7L5jU0NLQovtDP25mZmfLggw9KXl6eo+cHwC4M3QJAgmiA97vf/U4WL14sW7duDV7eeustE/j9/ve/d/oUAViGoVsASJCVK1fKZZddJgcOHDguc3fbbbfJ2rVrZfPmzY6dHwD7EOgBQIJcdNFF0tTUJH/5y1+Ou23Tpk0yZswYk90bOXKkI+cHwD4EegAAAJZijh4AAIClCPQAAAAsRaAHAABgKQI9AAAASxHoAQAAWIpADwAAwFIEegAAAJYi0AMAALAUgR4AAIClCPQAAAAsRaAHAAAgdvr/6K7oZjQPW2oAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "### Solution\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "try:\n",
    "    df1\n",
    "except NameError:\n",
    "    rng = np.random.default_rng(0)\n",
    "    df1 = pd.DataFrame(rng.normal(size=(100, 3)), columns=['A', 'B', 'C'])\n",
    "\n",
    "ax = df1.plot(kind='scatter', x='A', y='B', figsize=(7, 5), alpha=0.6)\n",
    "ax.set_title('A vs B')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cell-47141ada",
   "metadata": {},
   "source": [
    "\n",
    "## Section Practice\n",
    "\n",
    "Use this short exercise to check the main workflow from this section.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "cell-541284bd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.316799Z",
     "iopub.status.busy": "2026-08-31T18:39:21.316735Z",
     "iopub.status.idle": "2026-08-31T18:39:21.318192Z",
     "shell.execute_reply": "2026-08-31T18:39:21.318026Z"
    },
    "tags": [
     "thebe-interactive"
    ]
   },
   "outputs": [],
   "source": [
    "### Exercise: Plan a Pandas Chart Types Chart\n",
    "# A team wants to compare sales across four regions.\n",
    "# Create two lists named regions and sales. Then print the region with the highest sales.\n",
    "### Your code starts here\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "### Your code ends here\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f04d2460",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.319227Z",
     "iopub.status.busy": "2026-08-31T18:39:21.319168Z",
     "iopub.status.idle": "2026-08-31T18:39:21.320743Z",
     "shell.execute_reply": "2026-08-31T18:39:21.320570Z"
    },
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Highest sales region: South\n"
     ]
    }
   ],
   "source": [
    "### Solution\n",
    "regions = ['North', 'South', 'East', 'West']\n",
    "sales = [120, 145, 132, 118]\n",
    "best_index = sales.index(max(sales))\n",
    "print(\"Highest sales region:\", regions[best_index])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "cell-272336c1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-08-31T18:39:21.321793Z",
     "iopub.status.busy": "2026-08-31T18:39:21.321727Z",
     "iopub.status.idle": "2026-08-31T18:39:21.323329Z",
     "shell.execute_reply": "2026-08-31T18:39:21.323135Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "East\n"
     ]
    }
   ],
   "source": [
    "### Solution\n",
    "regions = [\"North\", \"South\", \"East\", \"West\"]\n",
    "sales = [240, 215, 260, 230]\n",
    "best_index = sales.index(max(sales))\n",
    "print(regions[best_index])\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv (3.13.13)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.13"
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 },
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}
