IM 6.8.15 Lesson: Quartiles and Interquartile Range
Here are dot plots that show the ages of people at two different parties. The mean of each distribution is marked with a triangle.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAacAAAEjCAYAAACWzs5WAAAgAElEQVR4Ae3dCfytU/U/cDOZKkNIQopr5pJ5LJcGEuJmvOZ5KiJDSVLmpJBSImUIaVQypBRChswimWeRIYn9f713v33/x+k7nvM853y/37P263Xuud/zPHvvtT977/XZa+317GeKFCkQCAQCgUAgEBhhCEwxwuQJcQKBQCAQCAQCgRTkFIOgJQT+/e9/p5tvvjltu+22ab755ktzzTVXWmedddIll1ySnnnmmZbKjEyBQCAQCBQEgpwKEvE9LASee+659PWvfz3NMcccadppp01TTz11mnXWWdPEiRPTXXfdNayy4uZAIBAIBJoRCHJqRiT+HhICjz32WNpiiy3SlFNOmaaYYor8mW666dLCCy+crrrqqiGVETcFAoFAINAfAkFO/SETvw+IwFNPPZW23377NNVUU00mp+mnnz4ttdRS6Q9/+MOAeeNiIBAIBAKDIRDkNBhCcb1PBF555ZV07rnnpiWXXDLNOeecabbZZksLLrhg2m+//dIjjzzSZ574MRAIBAKBoSIQ5DRUpOK+NyHwxhtvpMcffzydeuqp2b232WabpYMOOijdfffd6dVXX33TvfFHIBAIBALDRSDIabiIxf2TEUBQr732WuLie/LJJ9PLL7+c/BYpEAgEAoF2EQhyahfByJ9ef/31/AliisEQCAQCVSEQ5FQVklFOIBAIBAKBQGUIBDlVBmXvFsRyYjWF5dS7YyBaHghUjUCQU9WI9lh5COlf//pX/th/ihQIBAKBQBUIBDlVgWIPloGU/vGPf6Rbb701h5SfddZZ6eqrr05PP/10ROv14HiIJgcCVSMQ5FQ1oj1SHmvpxhtvzMcVzT333PkYo5VWWin96Ec/ygTVIzBEMwOBQKAmBIKcagJ2rBcrfPywww7L5+qVI4ycELHmmmumm266aaw3P9oXCAQCNSMQ5FQzwGO1eGfrbbrppv9ztt573/vedOWVV47VZke7AoFAoEMIBDl1COixVs2zzz6b9tlnnzTzzDOnaaaZJp9KPssss6TVV1893XDDDWOtudGeQCAQ6DACQU4dBnysVOd9Tt7dNH78+PSOd7wjzT777GmhhRZKX/rSl/JpEWOlndGOQCAQ6A4CQU7dwX3U1ypa74UXXkiXXXZZOvTQQ9NnP/vZdOaZZ+ajjCKkfNR3bzQgEOg6AkFOXe+C0SuAh28d8ip8XIDEiy++mI8xGr0tCskDgUBgpCAQ5DRSeiLkCAQCgUAgEJiMQJDTZCjiP4FAIBAIBAIjBYEgp5HSEyFHIBAIBAKBwGQEgpwmQxH/GS4CAh/++c9/5pcOeu5JeLkovjgAdrhIxv2BQCDQjECQUzMi8feQEChn61133XXp6KOPTkcccUT66U9/mp555plMUEMqJG4KBAKBQKAfBIKc+gEmfh4YAW+9vfzyy9OKK66Y3va2t6VZZ501LbjggunEE09MrKhIgUAgEAi0g0CQUzvo9XBeoeMHHnhgcp5eOVtvhhlmSKuuumo+ELaHoYmmBwKBQAUIBDlVAGIvFvHoo4+mTTbZJE011VRpiimmyJ/pppsunxIRZ+v14oiINgcC1SIQ5FQtnj1T2vPPP58OPvjg9Ja3vGUyQc0000xpwoQJ6ZZbbukZHKKhgUAgUA8CQU714DrmSxWVJxhiww03TAsvvHByGvkKK6yQvve976XnnntuzLc/GhgIBAL1IhDkVC++Y7p0QRE333xzOumkk9Jxxx2XLr300hxa/p///GdMtzsaFwgEAvUjEORUP8ZRQyAQCAQCgcAwEQhyGiZgcXsgEAgEAoFA/QgEOdWPcdQQCAQCgUAgMEwEgpyGCVjc/mYEvDbDMUY+sdf0Zmzir0AgEGgdgSCn1rHr+ZzISFDEI488kh566KEcpRcE1fPDIgAIBCpBIMipEhh7rxAk5EHcH/zgB2mnnXZKkyZNSscff3y6995700svvdR7gESLA4FAoFIEgpwqhbN3CkNAF198cX6+yYO4ToeYc84500EHHZQefvjh3gEiWhoIBAK1IBDkVAusY79Qh7vuuuuu+XSIcrYeglpiiSXSH//4x7EPQLQwEAgEakUgyKlWeMdu4U888USaOHHi5ENfna+HnMaNG5euuuqqsdvwaFkgEAh0BIEgp47APPYqeeGFF/J7nOaZZ57kTD2uPW49h8HeeeedY6/B0aJAIBDoKAJBTh2Fe+xUJoQcCe24445538m7nNZee+102WWXpRdffHHsNDRaEggEAl1BIMipK7CPjUpfffXV/GJBbrzf/OY3OVLvlVdeSYgrUiAQCAQC7SAQ5NQOepE3eV27E8p94hmnGBCBQCBQFQJBTlUhGeUEAoFAIBAIVIZAkFNlUEZBgUAgEAgEAlUhEORUFZI9Wg63XjlbL/aaenQQRLMDgRoQCHKqAdReKVLww+OPP55uu+22/Gr2v//97/msvdh76pUREO0MBOpDIMipPmzHdMmspAcffDA/67TWWmullVdeOe2yyy6ZqBwGGykQCAQCgXYQCHJqB70ezvuPf/wjnXHGGemd73xnmnHGGdMMM8yQZp999rTddtul++67r4eRiaYHAoFAFQgEOVWBYg+W4fgiRDTVVFMlRxeV44ucrXf11Vf3ICLR5EAgEKgSgSCnKtHsobLsNW255ZZpmmmmyefrOfx1+umnT4sttlj63e9+10NIRFMDgUCgDgSCnOpAtQfKtK902mmnpXnnnTe79Kaddtrs1tthhx3S/fff3wMIRBMDgUCgTgSCnOpEdwyXLSLvgQceSEceeWSaMGFCEhSx2267peuvvz5eNjiG+z2aFgh0CoEgp04hPQbrQVAOeb3nnnvyIbBPP/10PsLIs0+RAoFAIBBoB4Egp3bQi7z5bD1kVD4BSSAQCAQCVSAQ5FQFilFGIBAIBAKBQKUIBDlVCmcUFggEAoFAIFAFAkFOVaDYo2Vw5dl3Kq/McMZe7Df16GCIZgcCFSMQ5FQxoL1UnHBy5+ldfvnl+WWDf/nLX3KkXhwA20ujINoaCNSDQJBTPbiO+VJZS3fccUfaa6+90gorrJDGjx+fNt544/SrX/0qOdooUiAQCAQC7SAQ5NQOej2c9/nnn08nnnhimnnmmScfYTTTTDOlDTfcMIeV9zA00fRAIBCoAIEgpwpA7MUiHnnkkbTFFlvko4vK2XpOiXjve9+bfvvb3/YiJNHmQCAQqBCBIKcKweylojxwu/POOyeE5Fw9BOVk8uWWWy5dc801vQRFtDUQCARqQCDIqQZQe6FIwRDnnntuWnzxxdMcc8yRZptttrTAAguk/fbbLz300EO9AEG0MRAIBGpEIMipRnDHetHPPPNMuuCCC9LWW2+dJk6cmI499thMTELKIwUCgUAg0A4CQU7toNfjeZGQs/W4+HxE6cWzTj0+KKL5gUBFCAQ5VQRkFBMIBAKBQCBQHQJBTtVhGSUFAoFAIBAIVIRAkFNFQEYxgUAgEAgEAtUhEORUHZY9V5Jjil599dW812S/6aWXXkpxdFHPDYNocCBQCwJBTrXAOvYLdcDrCy+8kG677bZ04YUXpvPOOy8/3/Tss8/mg2DHPgLRwkAgEKgTgSCnOtEdw2U7W+/aa69NH/nIR9Lcc8+dZp999vwA7llnnZWEmEcKBAKBQKAdBIKc2kGvh/MioMMOOyyfrTfNNNOkqaeeOv//Ax/4QLrlllt6GJloeiAQCFSBQJBTFSj2YBmPPfZY2nzzzScfXeT4oummmy4tssgi6aqrrupBRKLJgUAgUCUCQU5VotlDZXnods8998yENNVUU+WTyWecccb0/ve/P1133XU9hEQ0NRAIBOpAIMipDlR7oExRepdeemlaffXV0zve8Y6857Toooum448/Pj355JM9gEA0MRAIBOpEIMipTnTHcNmi9UTmXXbZZemII45Ihx56aDrnnHPSo48+GtF6Y7jfo2mBQKcQCHLqFNJjtB7PNb3yyiv5I4IPaUUKBAKBQKBdBIKc2kUw8mdCQkpBTDEYAoFAoCoEgpyqQjLKCQQCgUAgEKgMgSCnyqDs3YK49nzCcurdMRAtDwSqRiDIqWpEe6w8pPSvf/0rf+JdTj3W+dHcQKBGBIKcagR3LBfNSnJKxBVXXJGOOuqodPjhh6fzzz8/R+sJM48UCAQCgUA7CAQ5tYNeD+d9+eWXcxj5mmuumeacc84022yzpcUXXzydcMIJ6fHHH+9hZKLpgUAgUAUCQU5VoNiDZTz11FPpU5/6VD4ZYsopp0yOL5p++unT8ssvn/70pz/1ICLR5EAgEKgSgSCnKtHsobI8bDtx4sQ3na037bTTpoUWWihdeeWVPYRENDUQCATqQCDIqQ5Ue6BMLxf8/Oc/n9761rcmpORU8llnnTWtu+666dZbb+0BBKKJgUAgUCcCQU51ojuGyxaZ531OG2ywQXrPe96T5p9//rTSSiulM844Ix9rNIabHk0LBAKBDiAQ5NQBkMdqFULI//rXv6aLLrooR+rZa4pXtY/V3o52BQKdRSDIqbN4j6naPOPkPL0XX3wx/fOf/8zn6/ktUiAQCAQC7SIQ5NQugpE/EAgEAoFAoHIEgpwqhzQKDAQCgUAgEGgXgSCndhGM/IFAIBAIBAKVIxDkVDmkvVOg/SYh5Q8++GD+PPHEE8nRRXEAbO+MgWhpIFAXAkFOdSE7xssV+ICMLrzwwrTLLruk7bbbLp100knp/vvvz4ERY7z50bxAIBCoGYEgp5oBHqvFCxl30KtnnGacccY0wwwzpLnmmivtv//+2Yoaq+2OdgUCgUBnEAhy6gzOY66WJ598Mu288875dIjGs/WWXXbZdM0114y59kaDAoFAoLMIBDl1Fu8xU9tjjz2Wtthii3xsUSGn6aabLo0bNy5dddVVY6ad0ZBAIBDoDgJBTt3BfdTX+sILL+T3OHHpTTXVVPkA2Jlmmimtv/766Y477hj17YsGBAKBQHcRCHLqLv6jtnZn6911111p7733TiussEJabrnl0kYbbZQuvfTSfFrEqG1YCB4IBAIjAoEgpxHRDaNTiFdeeSU98MAD6fLLL8+k5DTyOFtvdPZlSB0IjDQEgpxGWo+EPIFAIBAIBAIpyCkGQSAQCAQCgcCIQyDIacR1SQgUCAQCgUAgEOQUY6BlBBxT5KQI73XyESQxlKOL3ONeeRx39J///GdI+VoWNDIGAoHAqEMgyGnUddnIERipCID429/+lu677770zDPPZKIZTELE5Ew+LyqUV1i6siIFAoFAIFAQCHIqSMT3sBBAJojlK1/5SlpzzTXTKqusknbbbbd0/fXXDxhKLsLPc1D77rtvziPv5z73uXwmH0sqUiAQCAQCEAhyinHQEgLefHv66aen+eabL5+r53SI2WefPe2www7Ziuqv0EceeSQdcMAB6e1vf3uSZ/rpp09zzz13JjlHIkUKBAKBQAACQU4xDlpC4NFHH01bbrllPhliiimmSD7TTjttWnjhhQc8vsi5e8sss8yb8iGpD3zgA8lzUpECgUAgEIBAkFOMg5YQ8LqMSZMm5aOLCjkhmcUXXzxdffXV/ZbJ7bf88su/iZxYT+utt166/fbb+80XFwKBQKC3EAhy6q3+rqy1xa03//zzp1lmmSU5V497bvvtt8/7R/1VxOLab7/90pxzzplmnnnmnPdd73pX+vKXv5yeeuqp/rLF74FAINBjCAQ59ViHV9VcIeR///vf0+GHH57WXnvttNpqq+X9phtvvDG9/PLL/VYjdPzuu+9Ou+++e86z1lpr5T2ohx56KHmzbqRAIBAIBCAQ5BTjoGUEhIQ///zz6Z577smHwApoQDADPevkmnuefvrpdOedd+a8zz333JCfkWpZ2MgYCAQCowqBIKdR1V0jT9jyQC2iYk0NNbkXSck3EJkNtby4LxAIBMYWAkFOY6s/ozWBQCAQCIwJBIKcxkQ3RiMCgUAgEBhbCAQ5ja3+7HhrWnXrNeYLt17Huy0qDASGhAD3O9c7F/xw3PZDKnyQm4KcBgEoLveNAEJxrp6IvauuuipdccUVOcBBiPlA5+QZ4O4RDCGPvM7YE+HX6cHfd8vi10AgEDAXy8tEzdHLLrss3XvvvTkAqlOLySCnGIctIYCAvKZ9jz32SAsttFB697vfnR+k/e1vfzvo2XrCzT/+8Y8nz0jJ62FeZcXZei11RWQKBCpHwCMfFpA777xzes973pPmnXfetMEGG+QF5WARuVUJE+RUFZI9Vo7w72OPPTafkeeEB0cXvfWtb00bbrjhgCc93H///WnbbbfND+06UcJnttlmyw/mPvzwwz2GYjQ3EBiZCJjfBx10UHrnO9+Z56j57aH5rbbaKj344IMDekeqalGQU1VI9lg5jz/+eJo4ceL/HF+0yCKLDHq23tJLL/0/xxc5W+8vf/lLj6EYzQ0ERiYCnkNcZ511MiGV48mmnHLKtNJKK6Wbb74570HVLXmQU90Ij9Hyna2366675lPFp5pqqkw2b3nLW9L48ePTtdde22+rb7rppnwyxDTTTJPzyDvjjDOmj33sY9m112/GuBAIBAIdQ8C72T7xiU+kt73tbXkBiphYTxaRt912W5BTx3oiKho2AvaHLrzwwrTgggvmV2YYuHPMMUc68MADk9di9JcM+uOOO+5Nr8zgOvjOd76TX0DYX774PRAIBDqHwIsvvpjOPPPMNG7cuOzWs5g0vw855JAcFNGJ4KWwnDrX32OqJoPTcUVnn3122nHHHfM+0lFHHZVfQDhQYIPNVOT1ta99LefZaaedMjE59NW1SIFAINB9BISPm99nnXVWMke33nrrdPzxx+d3tQ0UjVul5EFOVaLZY2UZpMLJHdoqpPzZZ5/NG6WDhZoa+F7TLo+8XtPeiZVYj3VPNDcQaAsB89hjHwKVvPXaOZqdXEAGObXVfZE5EAgEAoFAoA4EgpzqQDXKDAQCgUAgEGgLgSCntuCLzIFAIBAIBAJ1IBDkVAeqPVKmfSI+aPtOonscd+K3wfac3CNoQh55/X+wPSdl2uNSR8mn7sHq6pGuiGZ2CQHjz/gtc8DJCoON5W6Iaq44Iswekjlk33ewpG3ao23yaWengiHIFuQ0WA/F9X4RMNgdOyQM/JRTTkl/+MMfMnEMNIANeAP9T3/6Uzr55JPT6aefnm655ZY8YQYiGmUKonDG19e//vUcJei0CRMmUiDQDQTKIuvPf/5z+ta3vpXHs+f4BPiMlGROkfOBBx5I5513Xo64+9WvfpUj8Qaab64hJg/Gm98nnnhiuu666zr6uEeQ00gZRaNMDgPXYP3oRz+az9V717velR/A/d73vpffcttfc0T8XHLJJWnFFVdM8jiTz4N9v//97zNp9ZfPiRTCz5dYYomcz/NVn/zkJ/ObdMkSKRDoNAIWWb/4xS/S2muvneabb758/twqq6ySfvaznw262OqUrBZv3lS9zTbb5DPyPFO46KKLpq9+9avJ4xv9EZSFpwNfnaenbfPMM0+e3z/4wQ+yJdVfvirbFeRUJZo9VJaztz7/+c/n0x3KCRFOenDkCUuov2SibLzxxqmcEOHJ85lmmik/SyG0vL/kQNnll18+PxDoOJWpp546zTLLLNmKQniRAoFOI/DYY4+lLbfcMp+iYBz7zDDDDGmHHXbIlslIcO/xNpx66ql5QWeelrmz8sorZ+9FfzKa33vvvXeac845Jx815gzNjTbaKIeVD+QdqaofgpyqQrLHyvF8kpPFy7lbvhEOS4jrrb/0u9/9Lj91biKXvA5/NVm4R/pLHgZ8xzve8aaz/Ew2DwdSEpECgU4jwK3Mkqe0y1j2vcYaa6S77767o/sz/bXd3Nhtt90ygTbKyGtxzjnn9CujB3BZgY4ka8y33HLLZY9JJ7wVQU799Wr8PiACjiH69Kc/nS2ZQjQG8qqrrppuuOGGfvPecccd+dUaLJ+y2mRxbbHFFvnp8/4y/vrXv86KwDFJJgtiUt+Xv/zljvrB+5Mvfu89BJx0wpKYddZZ85g0no1P7mak0J9V0kmkPBjvZAduuTJPfS+77LLZld6fjPJtv/32+Y0BhZwsPj/84Q/n968NJaCi3XYGObWLYI/mF/Fz+eWX50NcDfy55porOZHcxqlDYftLBv0Pf/jDtPjii+c8c889d3bX8d0P5J5jqXEjercMC8r7ZT70oQ9lF2IERfSHdvxeJwLGq7HM3WwcG5dLLbVU+v73v9+xfZnB2meeOkV8/fXXz3OGm85+rTPy7OP2t3ckQu/nP/95tgK1zbl6Cy+8cDrppJM6dqJLkNNgvRvX+0VAVNLVV1+dB/r++++fzj333MRXPZA/2krNPT/+8Y+TPAcffHD6zW9+k6P8+psoBChnfYkc2nfffdMRRxyRvLTQxm3b6fXXU/J54422i4oCegcBY5kSF+Dz2c9+No9n/7cAGynJnDIf7QMfffTRac8998wRsvZ3+7OayO6auWWvF5Hts88+6aKLLsp7aZ1qW5BTp5Aeg/UYwKwWJGUVaaKaCAORDBjcY+DbrJXP6m6giSKPMhGUZ5zkEynF7z1YvkFhV+7z/0ivPPj39PorrwRBDQpY3NCIgPFn/JoDxqX/D7Q4a8zbqf+bO+aKOWNhaJ4O5Yy85raZs51w5xVcBiWnwrydFKoIF9+BQK0IvPFGesMhtNdcnR469svppXvuyn/XWmcUHggEAkNCYEByKowrKuXee+9tf5U6JJFG7k3wsOKwCgmyHrn9NFTJENOrTz6R/nbAvunuiRumR799cnrtn//8r4tvqIXEfYFAIFALAgOSE7POg1r8qfvtt9+QTMFmKSn0kZrINhz5EJOj4+11wCXS6EbgtRdeSE/99KJ05/oT0u1rrpgJ6sXbb02vvxqnTozung3pxwICg5KTkEiv495uu+2yxTCcRlPg5cn/4ZDAcOpo5V4+Yf7hP/7xj8Pa4OOvPfTQQ3OEms3/tvc7WhG+zTxkRrIjwfJjgQ7F991mk/vObt/r3rvTffvsmm5Za+V08yrj023rrJYePObI9K9HH+nK3pM5ol+6hkkDUmTQP91O5ipMfLqtQ8hgj7XbcsBE33RbDvUXWerQhW8ip6K4bJiVwzW9aMoTzx52LCG7RSibf+7zad4INLgR01ZbbZVdgsosg73kV15z/oEAL/lszA2UTzvUVe5RDxAlZfjdw6BkYwWRnbwDAWxg3nffffmonSWXXDLtsssug0amdXtiN9ev7TZFnYE3UNh2c766/vbQ7Z133llX8QOW+9rzz6cnzv1+un3CGumPKy2bzltqXLpxteXTXRM3TM/99rL0ehfO7DPGhP0Kmx9oHgzYsIouPvjgg+nKK6+sqLTWi6E3YGKRXOZw66W1l5PXxNl5+qmbSTSgCFfYdHOcwME40T+FG6rEZTI5aSQlrbJrr702hwh7YNJxM6ymRnIiFCvCNdaHM5jc6zcKXlmeMHZ+k+dZAEkJITrXDTKWi30sihJR3HbbbTn/QB3vmo5xGKE6hTEr128ln7p1mlDJa665JhMkOUXTqNt9rh1++OH5VIILL7wwyyHmv5BnXwDLf8EFF6SVVlopv5bcw2gOL62jU/qqv4rf4G6Sn3DCCRmDKspsp4zvfve7OaS8nTJayoukb7kp3bvjVunWlcenX45fPB3+3nenP66wdPrLasunB4/4XHr1ic6eOlHmn2dkzKluK2Lz0hzpduJ9cTqIhcxA87MTcgqrdnakxXE301//+tcc3k3HdnOc4As6+Mwzz6xlsTuZnJCFByE98ewwz0984hNp4sSJOXZ/3XXXfRM5IRkDd9NNN02bbLJJPsbGmWrHHnts8tQ0ob/xjW9k99dss82WHwBjpXg2hTI34BCXM9bk33DDDfMDlZ55sToxUftKSOnAAw9MH/vYx3I+svo4pfrpp5/OHcUioPTIXq6r55hjjsn1qtuDouPHj08LLLBAPgtu0qRJWV6nHvSXCknvvvvu6eKLL06bbbZZbi/cRksykB999NH8xLhTirudnEhucdDRZIHywvPp4eOPSndMWCOT08+XXTx9YaF3pz+ssFS6dZXx6a5NPpqe/PH56Q3Wdj9jsWqZjXlKz0Q34bupdLSN1+Owww6rupnDLo8CRgg8HN1eCLIkPWfXbXKyqBcH4GH3bo4TOBgnZ5xxRn3kZGKwltZbb72sdJGUwfDLX/4yK3lP/jdaTmU14z7Wg5XeAQcckD74wQ8mx8wA7Pbbb89BFPPPP39WQMov500hEFbIj370o5yfhfOlL30pcZcps1hBjSNZmccdd1w+Hsfq0hE5TsX+yU9+kh8U46pjMcnPqkFi5CIfUnRO1Nlnn50tB23bdttt09JLL52VgbJEJMrfV2JxISQnaTt2nnvPsTkf+chHsrJ3va6kb6r6wNXiwSJCe6sqt9VyvGbAOGg1f0v5Xnsth4zft/9e6a7NNkx3bPLRdMk6q6cvrrBsunaDdfPfd2/5ifTA5z+b/v3sM+mN1//73FZLdQ2j74wh448iNuH1Vd11DlQ+b4YTOQa6pxPXKGDKzxy16O1Enf3VccUVV+QHWPVTf/d04ncLZfqNt6eb4wQOxgljwCK9yrbTp9lyst/yla98JR+94ciK4gLDjJT/+9///jeRE0DsXRDOh1vt0ksvTRMmTMgWkYLldabTuHHj8jt/1EF4SX4DTRnuU9+tt96aj7857bTT8rV84//9Ix+TXoc4VBG5AMNKyu/KM7mR5s4775w233zzPJiV74OgHN+BkChlrq2DDjoo7x8hTXmLbI31+r/fyScQAsFZtXBf/vSnP81nvRmw2lBHKnWz6LSt3Y+JbtFgRcxP3G557ebnXqR42i1nWPkffzw9csft6f5LL0l//clF6Z6LL0yXf+ub6Yhdd05//uH3070XX5h//9tvfpUef+Bv6aknn+iYfDwSvAAWhfpqWO2qYHw01meR5+zExt+68X8LWkfmOPrFkNYAACAASURBVCqL1d8NGUqdTjXx2hZ7guW3bnxff/31+aQHWxrdHCfGq9eD6B8eryqxoE8zObFkuKsc2mkAUPaSbwBwizVaToiGgrbPZJWHwKzGnSzNApKQD+WDnAywUmYpF7koW34T4dvf/nY+0drkRHjNiaLmAkIQTsNmBbFgEEOxXFgFzrlyjD2XESvH55vf/GZ2G3pvEKVsxVHIifU1UCK3dnIR7rTTTllm9SJjRGkC66Q6krphiHDt+7X74b7k7lxhhRWy27bd8trNb7x5F0675Qwr/7bbpm0nTUrbbr11mrTVlmmbLbdMG33sY2nVlVZKn9x00/y3313fbttt//upAPvBZLRwMseMKRa5vwfLU+d13geHg9ZZx1DKdojq6quvnt8r5J1EQ8lT1z3OcjRm9VNddQylXFshvD6w6eY4gYOxutpqq2WdOxTZh3oPfZrJyX6Njmf5IKqi7LnS7E0QwoelgjhYLp/5zGfyb8Dxsf+0zDLLDEhOCEaZ8tuzUqe8O+64Y46cc7hgf+REWMzsLY6I1EuwkJB3lbCGkJSNwve97315AFHClLGPE6/J5+h4JjFysr+FrAYjJyTLbDVRufWUo2z7co7Lp+gFZ2hb1QlWXJLqMyDb/SBYg4klzAXbbnnt5ieHBU275bST38ILQQp0YV2XfdB2ymw1r71XeFCA3ZSD/BSO+dxqW6rKhxAsSPWRRWlV5bZSzpprrpn1QNnzbqWMKvLY30dO3R6vcNAvDAKyVNG2UsZkcuKWQxBrrbXW5MACFylHVgI3WSEn5htyoOS8FdG+DrKxdyB/s+XkrYvFclIeIlSXlRn/uqgg1gwFv9BCCw1ITkgTOSIj5iQ3nzodTCjKEJGKDkScNpUddlg+gim45OxNDZWcirzIQUfYZ7Lv5SPAQr0sQ8EdxR9eJUFpL7zJXtrRzrcwWO4Rhziy/Nopq4q89jS4fqsoq9UyYMJy57ZlxRuLrZbVbj7uZ4s20Wnkare8dvILzDBP2ymjirz2NL7whS/kQ4XtO1VRZqtl8O7oH/3UahlV5DNeLewFaHRznHAvcsvDRNxAFW0rZUwmJ1YHhW6ldNddd00O2eS+E8IpUKKQk4AHrgcKmWtPkp9F4/dGcnJPIzmxvBCZVSq3GrcVi0M9lILXAfNf9uXWa1b6FDcXpL0yq00dhXSQHjfYQG9V5aeljFhO9pz6SwgH6CwkFpq/yexDZqTOgmP9ce0hs5GcyAcz5Ir0up1MdouabibjyOKJLPb2/N2NZB6YR0gBSXZ7LJHB4qHbaSRF65WACP3UzTTSovV4lnjcqk7ZrWdC2s9BGqwRbMwSEaTwuc99Li222GKTyYmyZlZykVnRU3KsJ4TgvkJOFDjLiJvNO0+43Gwk2r/hMkB2/o9E5PdKYGHn/bn1yKg+bM1CUhaX3Kc+9akk1N1qBkBIhPmNtGz+Iw2WlrbY4zKwkOrJJ5+cydjelL0qk6A5VBXZffGLX8zkTEYyUCI+/u9+oaWsSKuZbj+HMdjgCHL6X4T0Y5DT/+IS5PS/mAQ5vRkTutQ4qZWcVEmJi0Sh2BGHd+Z4EyKrwDNP3gNC+Vp5U9isFSdHIBV7P+7nM1eGRIEjD5aM/Rn5jzzyyJyfOwxBKZ+Lyb6QwAJKnpnIQmlOFKvVrU1AxOh+pi1iUiciIR9SFY2GQMmOvLgh3YssRe8pH5mxnMjn3EBkxeXYmJCZtjFbRfg1JzK5Rzu4HvqSuzlPN/8mL5w854Xcu530h2CabibkxHVtglm0+LsbyXwxfgT6sOb1VTeTRaj9zm4nc9KjIzwr3V78cTGSpdvz3GKb0TASHsK1aDdmRTRXnbLlpFCTwUA4//zzs/VEqbNiWDdcdvZ43MMiYrmwUBCS55v4yFlAwtDtIZVEYMJzoSkPuWBbBEIxISYkI7/Vq/BsPkcus+Zk8rKcuP3Ui+yQEOXWfEIEBawsD6q5j8tSiDrrjbWjLAPdSojrggzOymt+CNcgIDMCaraqyKcce1hOwNBB3Tb3mzFr/pvipYBhY2B3O1122WUDulU7IR9MLLiG8sLDOuUpY5J7mmu9WyRZ2mjMmxPdTrwhMDEX6Z5uJqfY0BndJkkLZTqzMXitG7jAwTiBSR26bzI5mRw6336PMG9KjJVBACsFH/f4IA9K2T3ulcdvFHhjx5lgfgOie91X8vs/Uim/u08DyeCevpKyS73yKlcepNmYRxl+JxvC8S1fY9nu16Yim/83r1ZLOY35muUqbVRfowzN942Ev8mnjWTtawHQaRnJAfdupzLGu00IZUz2tRDqNEZkMEe7nYxXY8R47fb8Mk6KDusmLkX/joTxShbzuA5ZJpNTK2B3e7AMReahyDiUe4ZS10i+x+AxkEwwisd3Jyc8jJE8OQrevsv/XRvKAqUKjMlA6ZUJVeTwXTCCT8Go3FdF3aWMonRNbPWUOoos7oMJxewe9xesShlVfKu3KBh1lYVYkaMvTEo/VlF/KUM9je01FooM7in/Jys5fWBSR4JJGYuNmBQ51Ns8TgpudcijTDKpo2APjyJP6T8y14VJaZd6yWLMlrr81h8mJV8r322RUysVRp7uIMBlK/JSOK6PqElBIiZf3cnAteLkuuX+NcFKKoqA28bBmkLcuQpY7a5VmUwiE5gbTx2s9pJcIyOM7EcWnGDESq8yqYdr2+MOl1xySXZtctVQMmXyu8czeUL/feyLsf5dryqpT9vs54jC5Z7RR4UM9RuMBEg1YgI78lWV1GMLgDuTC882gn03mFCCkrHgHtsMxoixAkOyVpnMB+PDfnkjJtpLBrKK9oWZ4KwyTuBWCLVKeZSlz7VdPwjyKm0mj/6xFUJWwQmCu2BW5ThpbI+y1WH7xnOnJemLgkXRL/oTXq2mIKdWkRtl+RyJ40l7D815AFcgiYeTTcS6BnKBiOvU/pIAFNGc/i6JMjDpPHznIXCh+R5dcH+ZhOXedr9NLIEgAmAE7zQ+RoAwKRgBQYJ1YOQjGMi+aVWJQtE2gT3aSQ7BO/ZRywY3RWgPzIO4MBEo5Dk7irudyd7cBliIatVOcqhLgJB6ECH8EaPrHgwumHhdjEVGVeNGXfag1S94ygOd+sE+NaUHM30nohgO8DB+BSIhiaqS9hgTArTIAhP1+L8xAA/j1ZmgHg4mY8FE/yFTsladjE1yGS/26ZGDesji9Bvzyrwxt2Fmb71xAVilPOoW0KbtFggleTzFvCELTMgqWM5YbnWcBDkVdMf4t3B+A6Y89MwisAqtmgAaYTQorfgE2YgApXgEoDRaLIJrSmAMBWDT2QPOIjLJV1Uyma3oTBiyUHCNk4vyQ5KUEeVTHgZstrDalYcciEdUqjo8s+JZL6QgAAFxU3JkROSUr0AgwT2eDazyeTpleZSCxcRKYy0IcBLlSi7Wq+O/EKnFTcGE8kMoVSUWB2tI0BW8LRIEV3lu0iMa5FCnEyKOPvroPC5Y/nvssUcOdjLGqiAF4xXWIvKUDwNRi162qi6ETNl648L+++8/eS7BhWVbl+WkbCfaIMTyDCdiMpe97UGkMcwQ2F577ZUxImeVCTb6wVh1KAMissgqCR6iouFmzNIv5G5nMRXkVNAdw98GlqhDK0GmuIFrcFtduVZXUrZgFJOd4vUMnZD7RjcZQmI5WK1TMsgSSTgmygkkVaVCCqI9kSVLjVVQEjy4RazauWsaMapC8ZV6fGsnXOBv8lLIyEjotkhTrkWKmfKh8HyEMXt0g4zccVUkWJND28lh0YAMrHxh4JooV8oZeTViUuW4UTdZEB5MLBQ8P2mhwKIyZguBGy/ugYExxZKyoJGnigQLCwTlq0d/sAqMF/VQ0PqJxcm9BxP9494qMdEWuBgryBApWcT5tqDzu7EsGhkxGaPw80iERSC5qxq32qV9SIeFKIqbF8YiS1KP00SEt8OnYEL+dlKQUzvojZK8BpYBReFThFY03HkUQlUDuD8o1G3yipr0nJuJXchJ3VbIBrpVqb99KEmulapPKCCHsu2feH6tkZxMbCt35w9aEcKIZWGi1YmRic9CtBrlolGnUH+WlL6STHLK2qrYCRLaUUdCRiwlixgrX31GMVOKrCrWC6uujnEDB+0sfcRiQdD2UriSkIGDl/VLSSwFVp0xpJ+qSmRBdsqk+FnbHjfhYkQKrEtj2f4PTJAUUpOvyqR+izZzgTWvL1hwyEnfICa/lfmkbnuY5pMxVdUiRr/Ys1b3UUcdla0jLkTWrjZrOwsOOekf+8cWFDBsB5MgpypH0wgtyyCl+AwoKy9uG6twx0uVfY66RDc4KXerUWcTNpIT4qIMnY9IDvf6UH7kpBTaXX01toscymYVNJMTRYAUYOSa/QwPbjttn9XQziRrlKH5/1aaMLDa5VKCg9WvhQTFJ5EbKVCQlBFlUHWCM4uVBVfGBSLnMuJOoyCdKO3be7jIUyUmSMmiQfvsm3iZp4f9EQLC5tb0O6IqCV7k8cwP0qgiaVOxGD1HaRyoAzkbIxYxfrcXaQ6VuWTRgDCqGq/mBhKyv8fSNxacQ1nICVnYM2bZNradqxqpszCrGifqOuWUUzL+Fi0Im3VdyAku5iuvg294kdO4bmchE+RUxYge4WVQbga6VRifsFWpQW3z0oqscXDX1RRKuC9yshdWDhxWN+VgUpmU9p2qWv2VdlGCfZGTeqz2HEBMEflQeiYhgjLJqlTG+oQs+oLS53bVDwjBQsJhw8VKKOQkkMM+VFVKp2BCoSIA1gDrhJWmDvIZN9yLiIOsZLP5bs+sKkVMDqts5Wsfi4D1xlXEOrES9yC99rP4S3KNInSEWFVjWB9bSHGZ2eOzUNHeiy66KFsPxgnlTFZzCTasCQTO8q6qb7jlLBJYrYhJ8Ir9NvPC365bwBg35lZJxi9yMterkAXxmAssVJaqelll5qx9SHgYBxYKXM9c0r5hZ+7AqVU5gpxKr47xbwrOIPJdVmXcRAiAYqo79UVO5PGGYQO9RCCRj3KgdCgjf1eZ+iMndVBMjRhZJduIJgtLwbUqkjaZ9EgSMbEWlK9f4GTBQNmx2CT3syCsRlkyrU72vmSnXNRNBoqQMmncv4GJ+rXdvVxY+oViJEdVhK0O9bJa1EEhsp4ExyADVhTS4v4tSYALpWmF3qigy/VWv7UV2bGE9IHjvgTQCP2XyFo+7rWIgAmFbOy2m5SNDEUJWkQiHK5m+z1wF2ovWAN5c9fDrCRuUK8YQZzGersJ3trGSmQpGR9euuh1N8YifMgLBx//N46NbQsM8jW6HYcjT5DTcNAaI/dSKBSAVapBZ6Vcd+qLnMhhhScs1WYz5WdgI0tuExZL1Wkgcmqsqyhlm9HIycrV5KsiUeo2lylWygcxK1ud5LMa514UBeY311gJ+ko4dSN5tCMPRaJu44D7CiEMRDhkcR1RUDxVW5MFc+3l3nSmpQgwbWcdISvjpCSKmFXDlUWWKlNRuBYR+koo/TnnnNNnFWS1J4bcG4miz5sH+REG+hchmhcCPjxSwO3rrRFe0WN/Utu5Fx0NZ3EhkZkLUCQdwjSX2k1Ixj4sK8iCyf9F/c4zzzxZPm568pK7JP9HWlyeFhfcgq2kIKdWUBtFecpgN4ApIm4j7iuKiM/a4LFCrDv1RU7q9KCefQ4rLBOK20YUFnJqDFioSr7+yMnv8IGTlZ4JZcVOaXMpUTomfztJXyBgbg/uIhvrVv8WB+pVJ2VotUr5c3kiaq4U+zzIiXKuQuloB2uM68hq3Ea6voA/WViNiMg9FjIwMW6syLn+POtSlRzGBvJXt/EJB3sbxoXoTv3CXUQpwoQ8fkOS3J/yViELUlR2CTggi74Rbk85G48Usd/0SZG1RFJyecKt3WScaZM9wBK+z2pjwZgX6jMuBILYF2VJmcPcnwiLNW68NhJGqzLpd4E5RRbf3HksJ7ioU5uNE5ioF4asK9GWvlu1aoOcWu21UZLPADV4hORa5Tiw1ynugg1YBFallFDdidK1GkSGja4PE5wLgxVBEXktvZUhn3/j/kJV8lEuVsJcIsVNo2wy2UdhRbCWkKVnN0QhCZktlk07clA62iuwwRuUuekoE3s9Vt6UG6VjgtuApmT8zoJEVvYXqiDJ0garbGH8rA9ko+1ksYeCNCk848VeB3mMGzJzL7neLlkXOSg140L9ZXyqg8Wgj4wdbjZywMQYISdi8pgCwq9CESuHmxkW2koW1htCMHYRBjnsncLIdb+TyULDXozxVUXSHmOufPSFMVkeTCarRYTxg6DMF9FyFlNIy2KrikQO/Vzk0D6LyPJQODngQrfoH2OYi5jVJIjFHHZPKynIqRXURlEeg8uAEr1j8Fp9c5VQdAZZVYN4MEjIwF1F2TSSoYFP+ViVGsz2wAQiUFhVKb9G2UwyE0ZkXqM7k1vIKpXSE3Fk45mCsvlclctIe5ALy5CCM5nLBwGJ0jPRyUgJkpGStjfo9H2WS5XJXgZFT9EWOXxTLiwksuoviwZk3jhuWlU4fclvYWBPBSlQruqhiC2cjA0JdtqPUI0RStqYaVzo9FX2cH6DO4LR7+owV7jNWJUWFa4bCywVv5PVPhh3n36rY7wW+dXL28Gdp18kc9tixsLTmPUcoefg3OtaHUkbWVOeQWQ1+VsfsZAs5mCib5A8C6odTIKc6ujBEVZmGUDcJfzjJrkBjpjaGTzDaWaRQZ0meWMqytjqsMiGzOqYYMrkAkKQjcRMBr+RoWBkEvqtWd5G2Yfzf3Uri5tDX6irfNSFkEq7Cybug4lrVRICuSkVSrfIUL5Lu+HkHr8XTNwPkyr7Rj2s+8bxqR5KtmCvPu2HAzx85KnCnVf6UB3apv3a66PtBXvXjWN/N2KCII2lKjEpMpVvOKiDfI1t9pu5TFb4waRgVvJW+a2NZWyWsVowaew/GLneTgpyage9yBsIBAKBQCBQCwJBTrXAGoUGAoFAIBAItINAkFM76EXeQCAQCAQCgVoQCHKqBdYoNBAIBAKBQKAdBIKc2kEv8gYCgUAgEAjUgkCQUy2wRqGBQCAQCAQC7SAQ5NQOepE3EAgEAoFAoBYEgpxqgTUKDQQCgUAgEGgHgSCndtCLvIFAIBAIBAK1IBDkVAusUWggEAgEAoFAOwgEObWDXuQNBAKBQCAQqAWBIKdaYI1CA4FAIBAIBNpBIMipHfQibyAQCAQCgUAtCAQ51QJrFBoIBAKBQCDQDgJBTu2gF3kDgUAgEAgEakEgyKkWWKPQQCAQCAQCgXYQCHJqB73IGwgEAoFAIFALAkFOtcAahQYCgUAgEAi0g0CQUzvoRd5AIBAIBAKBWhAIcqoF1ig0EAgEAoFAoB0EgpzaQS/yBgKBQCAQCNSCQJBTLbBGoYFAIBAIBALtIBDk1A56kTcQCAQCgUCgFgSCnGqBNQoNBAKBQCAQaAeBIKd20Iu8gUAgEAgEArUgEORUC6xRaCAQCAQCgUA7CAQ5tYNe5A0EAoFAIBCoBYEgp1pgjUIDgUAgEAgE2kEgyKkd9CJvIBAIBAKBQC0IBDnVAmsUGggEAoFAINAOAkFO7aAXeQOBQCAQCARqQSDIqRZYo9BAIBAIBAKBdhAIcmoHvcgbCAQCgUAgUAsCQU61wBqFBgKBQCAQCLSDQJBTO+hF3pYQeOONN9Jrr72WXnnllfSvf/0r/99vvZy0/9///vdkTP7zn/+kXsekl8dDtD2lIKcYBR1FgMJFSPfee2/6zW9+k6688sr0wAMPZMXcq8r49ddfz6R0++23Z0yuuOKK9Mgjj2RMOto5UVkgMIIQCHIaQZ3RC6Kwlv7whz+kCRMmpIUXXjiNGzcuffzjH0+33HJLJq1ewKC5jS+88EK66KKL0hprrJHe9773pcUWWyxts8026c4770wsqEiBQC8iEOTUi73exTb//e9/z4p31llnTdNPP32aYYYZ0pxzzpn23nvvbC10UbSuVX3bbbelj33sY+ntb397mm666dJb3vKWjMlxxx2Xnn/++a7JFRUHAt1EIMipm+j3YN3XXnttWmaZZdKUU06ZpphiivxBUmuvvXa69dZbexCRlF15LKZpp512Mibw2XLLLdPjjz/ek5hEowOBIKcYAx1F4M9//nNaddVV/4ec1l9//ezG6qgwI6Syq666Ki2xxBLZaiqEjZx233339MQTT4wQKUOMQKCzCAQ5dRbvnq/tqaeeSt/4xjfSu9/97jTzzDOnWWaZJe87nXXWWenZZ5/tSXweeuihdOihh6Z55503zTTTTInLk3X5i1/8Ir300ks9iUk0OhAIcoox0FEEXn311fTwww+nb3/722mHHXbI1sE555yTLQSh1L2YXn755fS3v/0tnXzyyWn77bdPe+yxR/rJT36SMRHJFykQ6EUEgpx6sde73GYKVzj5P/7xj7zhj7B6NYy8dIX2I6mCiefAeh2Tgk189yYCQU692e9dbTWli6AoYJ+wDv7bHY2YBDF1dYhG5SMAgSCnEdAJIUIgEAgEAoHAmxEIcnozHvFXPwhYyfe3mh9J1/oRf9CfW2nboIW2cMNAWA5UXH/yy9PqtYHqa+VaO20bqA2tytLJfP3V1Som/ZU32O9V4zhYfe1cD3JqB70eyuukAp++XHDlWvPA93d/10BXrjXD2Jiv+Zr6+8vXfO9Q/y7lDdS2vq4Ntfyh3jdQuwcqYyBMyrW+5B+o3QPV18q1KtqmjCqSdg93T0/dMBxuvoHkLX1DnqraNlh9Vco/UF1VXAtyqgLFMVzGiy++mG6++eb0rW99K331q1/Nx+x4MFRknWN3rrvuunTKKaekr33tazn0+ZlnnsnXnGzg+Z2vf/3r+eMcPb/J99xzz6VLL700nXjiiTlC7Xe/+11Sj2vy/+xnP8vXvvnNbyYP7QqnFjSh3gsvvDCdcMIJ6fTTT89yCSJoNcnrPLvvfve7uczzzjsvRxKqS52eySrt/vGPf1xbRCGF8fTTT09uNzz/9Kc/pX/+858DNo2cTtw499xz0/HHH5/OOOOMdPfdd+fACgEn99xzT/r+97+fr/l2hqHffZxK4X75tPvRRx/N+A9YYQsXKV5BHr/+9a/TSSedlMfC1VdfnX8bqDhjwfmCjnUio374y1/+0nJoPeUPL2Vot9M3Sn/Dv7+EQMqRW6eeemoeJ5dcckl68sknWyYUmHh+7ec//3lumyhNY22w/u5PxoF+127t84C7cX7sscemH/3oR+nBBx/Mi7yB8nb7WpBTt3tgBNdvEt14441ps802S+9973vzs0njx4/PE5syu+aaa5KHZ9/znvek+eefP62wwgpZiTz22GPp8ssvz6c+LLjggmmBBRbID96ef/75yTWKfuWVV8555HU6xGWXXZYVpBDz5ZZbLl9T50c+8pE8cYWfH3XUUWnppZfOcjiXj1wU8EDKpT94KR2KfLvttkuLLLJILnOppZZKn//857PCR1qbbLJJPuvOM1nLLrtsbrfntKpOnu+i+N7//vdPxsRxRtdff32/hEHpwPKQQw5J5J5vvvlyO3bcccdMuBT7nnvumRZffPF8bdFFF0377rtvPnAXoW299db5+TL5PACs3cqrOlmQ/OAHP0irrLJKHgfGwrrrrpv7GwH1lbQNoelvY4GMCy20UJo4cWIeC64PN6nrr3/9a9p8881zu9/1rnfldh955JFpoD61gLHIIjMZyLLSSislz+W18gwa2S3EEJJylGfu6G9nThqXVSaEbJx/8pOfzOPDs3TGC2wtElvBskr5BioryGkgdHr8mslnEM8444xpqqmmyqc6OAuPMrMS/sxnPpNPNSjXnAm3+uqrZwtg0qRJaeqpp855nHagDERmJfyhD33of645qsdKFsE5xkceH/Xts88+WcEtueSSk6+p0zUrwVbOn6N0EKEHgYuczrVzjBBL5Etf+tKb2uYagvrtb39b+ahgfSJr+GmztqkP8VAgfSWEjNDf+c53TsZEO+aYY45snVgdv/Wtb03TTDNNLtM3RYgEPQSt3aXf5NNuz1ZVne666658yK/6Sp/qX89ysZL7ShZFVvoWLo62KphoDzJh+Q1XqcKR5T/77LNPbrdykTdLqL+E5Hfbbbd87mGRH14WTffff/+w5dA2CypzyPgtZXoY/VOf+lS2eofbtv5k93tp9zzzzDO5Lv1ukfnHP/6xcjIcSJbhXgtyGi5iPXS/ge1A1qK8Ha1Dyc0999zpe9/7XvrEJz6RB3w5cqcodwpwnXXWedM1SoZlwCXH+jEpSz7X1lprrfSVr3wlK0n1lWsU2UYbbZTJwmq38Zr/77zzztnFMtxuQWiHHXbYm9qmPMqdGwm5Nsqo3SwobsWqExcnK7H5bL0tttiiX2vGihiJloUDvMgLy89+9rPpmGOOmUxarlFIb3vb2zLh6VP3FYxdm2uuudJpp51WddOypUMRN9ZHTpYCxd9XYuV4bQgyKv0tj/FlocLyGK4CZxV++tOfzqdvlHb7RtgWKf0lBLTBBhtkMi/5yGIRdcMNNwxbDm2zGIF3aZty9b0FmjlXpfXE/bjffvtlUi7y++bRsFBEliM1BTmN1J4ZAXLZU2I5WdWVVXaxnBytY9Bb7ZdrFKVz86zAuY0ok3LNsTxWmxdccEG2nExGk9x1q2qK+Ic//GEmMPnKNfn22muv7Eah5Mo1E9u1o48+uqVjjyg4+1ZFARblhyS4ob74xS/mtqnHNcrVkULeP1V1sr/UbDnB+aCDDsp7UX3VR8lxnVKujZggV3t5LKfZZpvtfywnVpNPY7sRL5fVxRdf3FdVbf3GcuISK5aT/oYla4Ti7CuVPRLWnHvLWECuLCd7QMMlJ1aahZET8EufkoW7czDLadddd81YlrFs7BrL3ITDlUPbWE4WaM2WE/JshXj7wrD8xmVsscXCLvJrP8vJ3l+VRFjqrOo7yKkqJMdgOVZVTH9uOK9zQAZWXBS3FaXV7WqrrZYVHeVj74biu++++3Jwg6T6cwAAIABJREFUBDcYYvPhkqP0TWjHFVEKfqckWVS//OUv836IYAAEoTzKiJuQDJQcVxv/PDm4Z8jlPVCsiOGm4jraeOONs7WEWCn6Aw44IB9Aa1XM+qPgS7sRtb2vqpNVPUKhjNX1tre+NbfbXgcXVl+JUhTggLhZlOSneO0tkF0fbLXVVtnKdY21u8suu+QgElhuuOGG+X7X7EOwtvRp1Umgx3e+853sPtOnzg3U3z/96U8zyfRVn7YhLm5Nrj0y6gduYQp1uISgDjjecccdb2o3hW2vTXBAf8kCjQu7jHP9Y79TgEYr7mSys46MJXNA22DywQ9+MAcJVU0WiFwQCO+DOVP6m9dAgFErWPaHVdW/BzlVjegYKs/ANTlFdtkARjy/+tWv8qA26G1aizKifJAKsqKMXDMBBUxwFYm6+/3vf59/c80qluKVh/UiIs9Ed83mtL0UUX5chyWKyR6RyYTEXBN9Rq5WV5raJi9FzWJTpihBriZ1iZyy79HYbhFWrRDhYEOCFVTabaP8jO9+N910000Zk4GUFbwoVpYq+bn5vGFYu7TBQoClKpKSO1IghH1EH4raIsE1RKHd/RHhYPIPdF3brN71v3HAhSbQw28DtQ3OZGrsby9fNB5bSeqClzJKdKP+ttgYqE8tYuApMEi0mzlg39FYaNUlxnoylss4Vy4CaYXsBsNCu7WvtNsiiNfDYcP6ZiSnIKeR3DsjQDYTsJCGCYl0TC7K3TWKzirXB1n5zTX3mNTlGqVSJrNr/naNUkYEjfmUoy7XlF+umUzqd62Q4EAKbjD45KWQlaVMClMdpW0UPBma2z1YucO9XvB69qkn09+vuyY9fPtt6aWXXpyMV3/lyVeUf8FEe7SrKCULAdd8U1LyuKZP+2p3f3W187v6KF79TRbjwhgYKBVMSn/rBzIrq9WkTH0KC+Sg7IGIqdQjnzFKBvmM3XYUe2lbGecwIVeZH6XeKr9Lu1npQ213lfW3Utag5GQwAK1O4FoRPPIEAmMKAUT52KPp4W+ckJ48/wfpde68FkKmxxQm0ZieRmBAcsLwVq580VZZ/o4UCAQC1SPw+qv/Sk/95IJ09xYbp3u2mZhevu/e9PoId7tUj0KUGAj8fwQGJCfWksgSD/Pxzw5miv//Yv/7P1aXPCON1MhDNp/BZGO+88nbG7EJ6mOPRRgmPzR3xXBxacYp/u5tBJDQy3+7P92763bp9nVWT3d8+APpkW+elP79dPUP/PY20tH60YTAgOREMduQ/vjHP56P/BiOn5XSL6cIDCdfJ8Ajj81h5MIXO1ByXQSUaB0RTqK74CE89qMf/WiOsuKHHi2pLBhGAqHqh5EwNsgAD9h0I7323LPpse99K93+obXTzassl25ec8V0z1abphf+fH3XrKeR0jcWyPrGZ7CFZN19RxZ7et2WAxZl/7DuNg9UPhxgQpY65s6byEllKikflVLgHphjLTQqkuZ75WnsNPd61sJxKqyL5uuD5e8PlKHka76nUS7l2hAUOeSEAxuEzbI11m0j1AOi3trq4TkRXAhbhJSjb0qIdHMdjWWMlP+T0Wa00OxWo56qbIuINNFy3UwwMR6M864ontdfzyR0z/ZbpFvWWDFdsNS4dPnyS6a/rP7+9PAJR3XNehLFVsdpGMPta0EQzna0AKQIu5mE7pv/yKGbyXh1VqUtl27qHf0h6q/VxzkGw3AyOVHQFDEFLLQWsZiwnivwfEEjORkwQlg9BCikV0gqhU3hKUfnCfP19P6aa66Zw4+FFXsVNTApAWGiHmgUqiu004OIFOdAA1C9LB4HJgozJqNnOtRb8ilf1JV2nH322flIHGGzLCDXfAtlZQGJ/ffgIWVNnkbyLcAVcvLAqWgjA8LHHpzw2MUWWywdccQRQ4r6KWV26xtGIoMcwFnH8zrDbZe+5y7uZjJejUvjSfSUvzuZXvvHc+mRk7+abvvgaunGVcanoxdeMJ2z5Lh06yrj090TN0zP/OrnKXVYJu03f7785S93Eoo+6xJZ5/m4uhRgn5X286P5TjfSQ91MxqvnlEQPdnq8NrabHqfXYUJPVp0mkxPl7BkLR3U4UNMDfJ7yP/jgg9Maa6wxmZwoeKtdD/9xd3myf9NNN81PTCMpVhIFSJl7CtkDgo652WmnnfKzFvJ7/sLDjg5ydGSHAza5yFgzlH5zkgfheY5mm222yfLJJ7+DHMXtAwq5WN2YVMokm7a416GjyE/Hkt3DfZ7SZhWyikoZzXUXciJvCZWm5BGigxqdWuAJ7G6vpprl7utvcnO1OpEZDt1Onnmp4zig4bTL5HYwJlkowo5OdgecXvP7dM+2m2dL6YZVlktHLrxgOhM5rbpcun3CGulvB+2Xo/je6LDVQBFTgN1OFoQWDsWy7aY8FtMW6YNtBdQto2fZPDRNz5ZFed119lU+HIwTz2nR+1WnTE4U65lnnpmf3HZ2lQctPSTpaHmWjyeZi+WEKDx97gFKq16vO6DYWSJIykRHAqwqit/Juywdily+kl99HhD0u4AD7j91GYTNSR7E4BgRpwK4Xz5nkll9e8DMagZAFK97WAeA8xCfgA57RlaDSJi8jotZb731cmAD67C/h/EKOTluxYNy2oBc4YOwkKpBS8Y6knIpzCo+yFv7HZYqArOKMtspQ3AJ67edMtrNa+xbbHlY2MLI3+2WObT8/0mvvfxyeuikY9Pdkz6Z7vjE+ummjT6SvrL8MunsNVdNt23y0XTnphuke/fcKT179VXptf97xmdoZbc/Xozvz33ucx3Con95ufPoId4Oc7xT7e+rHjrNIoZ+6+t6p36jYw888MC8JWFOd6re5nrgYJzgBq7G5uvt/E2XZnJiHrIekAPFSyEbCFaSTvJ1plghJ5lMYPdgTveZ1DrNeVMUNaEoe8elIAoDjGUjnwRQebnH/K4eR4Q4/gYxNit65VklsJIQoNU/YNStHOVaQXD5IUOWjPqVT05l+t2RIVZilBFZ7RmxIMggf3O9ZC3k5Egdx/6zIn3DhCw6B351JW3UVnK0+0HwVl2OAfJKiHbLaze/Uw24Xtstp538FjT2NCxmuKr93U55Q877wgvpheeeS0/fdUd64s83pMeuvy498Iffp68dekj6+fe+mx7907Xp8Rv+lJ689Zb07AMP5HuHXHYFY8XCjwLsZJ191WV+OkjYQpOe6OueTv1mUcu7RId0qs6+6uHidIK5BaY53dc9nfgNDvQ2Q8Wit8o66dNMTpS1/RfWC2WIDCRKm9UjIKCQk2uUpTw25Vg/wqxZFhQ3YSWE5Fh8lgVWbUzyI0HHd8jPbLdKc26a+kr9JQ/SQEIGBgJl3dmnspcEEPcjPP5PbsTdd989A8bc9HF+lnPenMaMtNRtH42rEagDJeVrv0g97aRMWX0sNOTGdQgH9VedEKaONxC5Itv96I/tt98+Y8ht22557eZ3nphFQrvltJOfVa0PJ0yYkMeDv9spb1h599wz7bHzTmn3HXZIu2+/fdp50qQ0Ya0104Yf/Ujabfvt0u47bJ/22HHHtMcuu6S9OinXXntlT4hF2LDaU8EYba7PeOXh4MKnY5qvd/Jv3qEPfOAD2YPTyXqb6zJ3V1xxxWxQmNPN1zv1N0+WLRtnUNKlVdZLl2ZyElSARPgxG4lBtJ5gAQqkkJO9Fu48ez/2nAwepCY/VxkrReqLnJSN/BAQS63kFzjBKkIsyu7Lj4qgrKK4gbbddts8YO2JIQsBEAgPMTpIFFiuuc/HwDawnGgsOq8VckIQiMxKxYf15kw4ZIn06tivYBF+4QtfyLLbC2z3g5ApYS8b84K/dstrNz/rc/nll++qHDDRhxYvlKC/221Xq/nNMy/XM4+6KQf5ycCd32pbqspnvMLEAcDwqarcVspB1ubOhz/84a7KYbE8bty4/DhLN8cJHLyFwDw2d1rBtL88k8mJW8OzO5RsIzGwBoSTcs0VcuJ3pfyRkv0mhOHDrWcgDUROyE74MHCxv7KZptwp9oYEKSCuRhky0/3fP8iNBYUkkBi2FtRgv4Dbj4vNCcsIS4gjAikfZIlUtKkVcuLiQMzF9VesOQQLOw8r9yd3YxuG8391IF6yl3a08w0TfS3IxYKknbKqyGvvy7ipoqxWy2BJs7i5fO1dGlutltVOPvWaC17rYE+VXO2U125ej0rQB+2W025+7mduegtPbvt2y2snv4Wx/qHv2imn3bzGK6tFWHs3xwkcHEYAE/qv3XY15qcns+VEabGEsJ/9o6JkWTlcbvZrCjkZKNx3oqz4HO3r+LbCt7op5GQfxuBWJgUrsW6445ikXGP8+8iG8uVXHsxyQk6sCe5GrkKbpCLxWEfA4Wosod0a6j4f7fCNmJQhqIEbE8Fq+0CpuPVYlY3kRA5yI1qWmYlTcBuovOFeI3NpR7vf+ko0o5f6wavd8trNz2UpwrPdctrJDxOPPXAZs6qNx3bKazWvMWpMI2tRqeRqtawq8pHBIqaKstopg/IVOEMh0xftlNVuXgQpolg/tVtWO/kRtmhoi/pujhM4MFb0Dw5op03NeenJTE4aiHS4NpCQaBBKjPIXks06KeRk34V56+h491H0Oo01xRXg/5KBdPjhh+e8IusASYFbkbnPO4GK1SUP68P7dPqynFgQhLdS0DHK8QEMkrFPQF4A2Y9CiJQe2dTLUrKJSPkgFQOe/9opDzZ+/Q1o15oTcuICK+/CodS1m+Vh5S+UXIABqwzxjeSEPJH2SAolt+fYzaTP9CdSqMM1O9S2FUvcos3mfx0LnaHK4j4y2KvtdjKnR0ooOcKm/yxgupl6KpQc0BS/NzEiHtYIlxmXFSXOredhW6t4biHXWD8CAnw8S2RPRug4wpC48DzgWvYUBClQAFwX9ptYY/L6PxefiYC0kEWzkvc35S9ogo/SHpWP/9vrkqdYYdyG6rKPwBokv/bY0xIyXlaoyEtbtQ2hUZJIujmx9tThtcz2rVhJovQQIKtJODlMmmVuLmck/E3hIWhmOHLvdrLg4RboZtJvJjulw8LvVj8WcvJohMVct8mJDBaX3U48MDDxkD+d0s1kG0JYe7fJyWKbVdvt55zoUjrV4oH+rTply0mhAGdBUPRIxArOAAWE54NMYBO3RNpx63HLnHfeeXngIB2WljIkk42LUEAFJYTcKHEDTJn2jJjIni72bBMLx8rEyl7exuRvVo0VLsIrL7Djm+eS4W4zmckHMGWVgUTGcgJFuU9ZyE77yGbwK5t11pzIqyx1kZll5yPSUHu49ro9WJtl7u9v+BhEcNY33U7GhsVEN5OxpQ/JYnHSPPY6JZt6Lf4E2bD4u0WSpb3mqH3gbidzlv4xp/vybHRSPl4T46TbJMma/PGPfzw5UrmTGDTWZbwaq1yudejAyeRkcgCda8Pq2oTl6lKpSVsmrknjNwAhEuxN4VHsfkcOJRHe4FJeuU897lOPTWD1uEd+hNFfx8uHGK2kyqa1//uteSIri+zkc6+6lW1wK8cHmflN/T7a19dqtSh0ylx95WOVzeVXyixtHsnf2k3e5n7qlsz6Du7dTDApePTV/52UjSzmD1z8v5tJv5Cj24kOgYk53TzPOy0bGei6kSAH3WO8dnOcwIG+Lnqw6v6YTE5VFxzljSwEDCQT3WBq/HRqoplEiLGvCVWumfwUUZ2Ery5tJkdz211rxsjfVZOWepRZ2qs/mnEpspR76sIEBuovBKC96i7J9WZMyNKMXbm/1e9SDzl8yOS3RlkKJkXWOjBRR2PfwL+5Htf7wqRR1lZx6C9fwacZ+/J7wYRsdaaCTxmzpa7+MCnXW/kOcmoFtVGYh6XHheaAXW4S3/42qDuRTGauItGRJlhj8rfgGO5GriQuVtZMHckkYgVz0TT6yU06dXLVFozgBKMSbVqVPCY2HLiLuYq5RVjkFI1EFniR0QPeAobgQ1FWmdTHw6CNXNXqUif5yOA6jFyHRfkISqra4rX61u9kIAtM9FNRtuQxVj14b4xwq/c1ltrFR9t5erjvCibGrd8lmOgr46Tg4dtjCPqHnHUkeIsL0P7GOcvr5HeyepSGt6iMozrkMFd5mkr/lDps59ieKZiYQ2Qt/VfuG853kNNw0BrF95r0IhuF9wt82X///fNp6tyrdU0ocJXJbG9S/YIxKKKSTDqRYR7k3nfffdMhhxySHw0w2ap2KyEf5yMKwxWE03iOo0lECYlOFfADIx+BOpRxVUk9HrcQYaoPlC8SVF1lXwUmoloF/ZDVM3Yel0BSSKuq/hIUc/TRR+eTXBzyKqhJEBHCpPQoQQQqMMpzNQUTkb1c5VXJoV88mwgHG/3GgPGgPnvZxhBZ7A3rm4MOOihfM5btG1clh3IoVzj4FEwEVJk/+gUB6RvBXE5EKJg4iquuaE/EaI4Ymx5pQQ4wsXDwCIQ+gxl5YGO8Ni8Aqxi/8DFm1CUYDYGXJHpbsJg5DBOvI3IkWDuEHeRU0B3j3ya/h6RtuFPQBrCVat37GxSPYBgRnaIdDexGS8RgdwQLJUwxWAUiMJPfc2tVJRNL+P+kSZNy9KYoTedAlkQBICtHKtlshlE56LdR3nJ/q9+UCgvRKfnKt7oUbOOxBkFIiJviRwhIQJSa+0TOmfhW9cqoItmPpfBFXFn5W+1SfohbABRZLCpEp1LOBRN9RjFWRQqUPpJhDcHD2NQ3nptEBK6TR4TsiSeemMeIvhJli+QRaRWYaA8cBF159MT/jUnRv6KKLR7MF0RkYeFaIyYUcRVyNPYtmViIFL4TGcjhsRl1wczxQY5oK/2HVJ2EY95Vmcih7aKckbW+ETxXknrhxMou49o4CcupIBTffSJgYInARA4Ujgnkt7qTOrhAKEBP11sVU7KNyp5idF5ZiZYz6SgnZCZEtapkklxyySX5IGNkQOGWxx7UYWXuxBOPQ1BMZC+fqmQo5SDCRtcMi80D4R5kRz6iXh0LgyzIbRUMH9YE1w3rqYqkHLKoQ1uNDQThMQyKV8CQyNjyHGEZN+6tMilXG4tVqHzEaQFhDCBrJOn4InKVfjGmrOApw6owIQdMSh2sIdaJuWNcwMgzmp4VhE/BpEo8SllkQDJOLynWtW/khJAdym3BYvxI5o65ZqFT5SJG2doJe/UhZ+RkwVKuIU24GEtVYRKWU4Z3bP9jwn3ta1/LbgGKj7/cqsbAN5DqTCa6iUTZeCmjAVzISd1cSJShPRVyGtz2GlhOhx56aGWimegUC588Re+w10Zysiq0SkdOyMsKUJis38lUZdLuRtwpV8qPIiYfOShiVgS51U8WJMG6ooSqSMomh2/J/hMZyGKBQDF70Fy9rD2YsB5YMiVPFXIogxwIBmkbH/qGAmRBwYT7kUuvKGJ57HtwJTktnExVpII3jPU9i4TiZfEbw8Yyq8kiixfCXCJf1ZaKtmiTtiEk30iKdYKcYMSNhyQtACUY2o/zeiD9VyVhcyXCn/sOSXnGk+UEL31mPrG6jRHeD/e3O06DnKoY0SO8DErf81wUHkXjwWQfPmGr0qqVbyMcBq+PSe0lkAiqkBO5rIgNdI8mlHtNdBPSnkKVspWJhKC5JhrJSZ0UgIM0ESMlYM+Ha02QgLx1JLh406v9BGSkP/QVy64oYkqHAuT6JE+j1VWVTPqCq8z+RRkXxXKieFhtxox+YYVT1FViQpFSbI4xs2+CICk7ixZuLf/n2lJvSUidm5bb2MKjqqQsZR5zzDF5r4+LlRXLlYkwnAjD9WmM2IuDifuRRFXjFR4WJFze3Ixc8Pre38jJAk6/ODrIGCrJHiFSR9ztkoMy9XGxHo0/z5WShbejkBNMzFUuRt8wKQcbwNL4bSUFObWC2ijLY3Dw2XNrcQvZWOeqMMCsxK0Q604GaV/kxIeNnEw2qRAIYjD5TdIqlaAJ2xc5qYcrRLAC0uKyoITtc5AbeVUph7LUaYJbkVIylB/i9n8KkXKS9J+VKOVsP6FKciIHhap8lqrVuCAEOKkHQcKD5URWFjjiQCJVKWJthK9+sd+IiLxVgNJnmVDGNthZLPqoJNYBckLmsKsiwYMFqQ9Y+cjAwoFFiax5ApAiPFh15hKrzvFrLO6q+sYixbizl6MPLE6QJcVvXLjO9e1kk8b5a347+xRJwbTdpL3KQoQsJgRsL9iRbvRJ8XbYzzU+1G+Rx9I0r7ntWyXJIKd2e2+U5DeITBwfg9aEd/QSErAyrTv1RU6UGxeWySQUlWKgiK0EreApI79Vmfojp6KkGzEiBwVBAVqxV62MuRdZSBYKLEd9pE6nr3h/mBWqBBN9hKydeFKVAlS2NlE4lIn9BPsqMIKHD5kKUVkhU4r2DinsKglbGylCJAMLViR3GvcZZViIgju6JAoRibO+ja+qEkz0g4WCeWIB5+xQShom5CyY6AvWHfzMpypIEhYCmLi7Ea/FgUUTqwTuSMHYsKixWGis032OZRNIQ8Z2EyJkNRt7XIb2ZR315lg6e0/cnqXvGucOKxh52hcrnpLhyhLkNFzExsj9VqDOKkROjRO+rub1RU4mupWWVZgVsklPGVIIJqHIrKqTCduX5dRcD9koKa6UqsnJSteKkptMpBX8i4VIPnsZrFoTvMjBjy9ogosHTlWkgjU3VYmWpJQpm5LUX5LfyS7E2mMBVZGTOspHHeQyPrn3WC7ICUFwG8FBcr8Vuj1CCrMKK6G0U9nk0P8Uv0WEfRwRln0lsiJPiynWVbtJ+1lqFmgISbnc8QjSmaT6ikxc5DBiVUnk5YlAaqxf5bSbuPFY0x5lYMWxYOkMrzeyMGC5lbHbWBfS4jpnCXMLtpKCnFpBbZTlMUitXgwSk80EskJmqlt5lQ3VOpvVFzmpzwqQ/x4RsZ7I4jBY5GSlWnWi/K241dm452SCcS1y6RSMbP6bYNxMMGtU2q3IRelRIJQpi0l0nsnPGlE+jKw+WUmUrr0oMvmImrNS5lKqQumQn4WCmLjQkKVFgfb7wAkJ6g+ywcTvlI49OQRVlRyIRT3GaMGeK0sfcWMib+NVKLWzON3nfosr/QMv/ddu0r/Khjc5fBAPYrRY4MrTZi7QMk7cYz+K8nZWaBUWHDnMBYuT8vGcE3KwKNBXMPEsoL7jgtZHZOWaZelUMV7hSWeYoywxstiXtChgOSEmJKj/ytyxuIENF6dHVyym/NZKCnJqBbVRlIdCNFBF2XDbiL6y4rIqc1K7gVfVSnwgWExaPnMRRxRASWQzkLmxbKJy4wgh5jKgBKpOlK4JxgqxZ1CSSQgjq1Lvu+LOo4RhhMTaJSb1KINSpTyWXHLJ7LbSJ1ajHrQVeYUgYGLPQySaa5Qw5WgPzETXp1UkLiNvF4C3lbkVuvqQsWdo4K+/rM7tqyAyq2UraZZuFZhoB0WrjbA3PtXDWvU2ABYC5cdiIwNMPLhMVvs8AhEQfhWYmAcWBCwDMhivCIGSFSSCMChe7jsYlblEDvLY162CJGGiPY0fyt9C0ngxRpCksQQLcweJc70hdG4/47yK1CiD/2sfV5/gKo8d+JtbU98ZJzwNCJKVCycytrqICXKqogdHcBkGlElnhW7VSelRSlZdfjPpq1IyA8FABqRAqTXumRjcyMpq0DMaVmNkowiqmmCNclFkLAbWC8uoJDKJyvPsDBIgh4dxYUQhwbHdpAx4W+lajdsr4b+3x6Quk91kholVMMuR289rGuSpet/LSpgMFLx2k6PIwnKxoNBf7injRui/BU2VJKks1mzj+LTitlpH1PqMgtNfcNA33F7GDKuzir7Rt+phCajbHNFmZMViQtTGiDHJ7Vpk1Tf2eeDlel1zCUGzmtUNE22GCXnNF5gYU6w4C6265FCu+u0/6Q9/24ss8xdm+saCDokay632T5BTuxpnFOQvStEE4wKh5AxghFHXIG6GRT3FbUUJNCbXuEfIx3+OrMhWR4KFCWNCNZIkmSgAyg4xwghRVKlw1K0ebVVP4wdhIkHKz30woQSQFFnkIXeVCVFakTfK4f9kgY/63OO3golxAxMyVpUoWQTVOD7J1Yw9eWBkjPjI0+qqvC/ZtckY0O/a60OmxnpK/xVZ3VP6ra8yq/pNvfAgX+M4MF7UX2Q1x+qc0zCCufHY11ilX/SNsdsoZys4BDm1glrkCQQCgUAgEKgVgSCnWuGNwgOBQCAQCARaQSDIqRXUIk8gEAgEAoFArQgEOdUKbxQeCAQCgUAg0AoCQU6toBZ5AoFAIBAIBGpFIMipVnij8EAgEAgEAoFWEAhyagW1yBMIBAKBQCBQKwJBTrXCG4UHAoFAIBAItIJAkFMrqEWeQCAQCAQCgVoRCHKqFd4oPBDoPgJO2/BEv1MGIgUCowWBIKfR0lMhZyDQAgKOm/FSPgeXOpaozqNtWhAvsgQC/SIQ5NQvNHEhEBj9CDgHzcGt3gPkINUqz6Ib/ehEC0YyAkFOI7l3QrYxgQBrhUsNMfh/f4emlnvKfe7t6/5Snvv7K6sA514nZjt13GGqxbVXypXf/9U51PL6q9Pvzdf8rVwf9fSXigyl7Y33lXLLd7nXd6nP/9Ux1HY0lh//H5kIBDmNzH4JqcYAAhSlE629OsCrDLxWoLyCw7WS7Ak5iZ377Zprrslv6nWfV5V7d479IsrXKc/K82oP7zlSptOom0/vLuX6prydKs5qKidWK8c7eJy+rV71eH+T11Y4Udpp0+prTpS/tjgpvfnUeNfIUl78J78Tzf193XXXZXm93qHIUGSTz6naXsOhTT7arJ2FeMijHOTqXu9NgqU2uOYEde+EKhh7zQcXpmuRRi8CQU6jt+9C8hGOAOX/1a9+Nb/V1iu2vTBw9dVXzy97RBgSBYwcvKzNS+s222yz/M0N53XbXlNOYVO0FLAX3K233nr5ld0f/OAH8xt1vTsHQfWVkKCXOXqLrHr8TcF74aGX13mj7QYbbJBfqKc+b+j11tW+ykMCXsJHVq/xKOThG4F6SZ/XlXutBmLyfi5vNNbQfdLaAAAIp0lEQVRuH+3zvp9CPIXQvNDPCw+1hwxeZHfKKadkGZSNmNwjr5dQrr/++mmVVVbJ9yBE76Py5mAYK2OttdbKL09EhpFGLwJBTqO370LyEY6Ad9p4OZ+X0SEY1glyWXfdddO5556blTtF7TfK2Zt5WU9eKLfrrrvm3y699NJs3SjrhBNOyMrXC/CU58V7yIuyVnZfiZV09tlnp8UXXzxbT/5GjGRYeeWV81tLkdH111+fX3zorao77LBDtl6ay0NYXoqICLyUsFhXiFN+r+5GKqyxcp+3CpPVx1t1kc9FF12UyQs5sYa0B0YsLC+B9FZest16663ZQuOW9AZcpEw2dZOZFSfP2muvnU488cT8G+vJSxsRNpKMNHoRCHIavX0Xko9wBCht7iUWFEXpBXXequr1417zzSpAFF4Hv8suu2RrBAHIc+qpp2YL4Ne//nV253F7lVdfc3vJx5KiqJdeeulMcJR9c+J+82bSBRdcMLvt/M0tt9pqq2VLA2kgPu42bjKvp3eNe7E5ITbW19Zbb5223XbbTDDaoG1ez73qqqtOfpvv9ttvn4kEWWg/eZEvUvSad9YQciOP9rqO1Hx7E/Fiiy2WiZ21pu1Ic5lllslExvXIUoOVtwUjXm+BhQurUDnlenMb4u/Rg0CQ0+jpq5B0lCGALLi3uJes8BENxcvFxTooLivExFIqAQvIwuvZKXIWAFLwKm7uqk9/+tOZkFhkrBPljRs3Lu277775LanKbEwDkZOyuOdKYsUJnEACiKQ5KRtZHHnkkdlKsi9GtjvvvDO7I5EOgmDRLLXUUmmnnXbKZEJWH245Vh43orzKg5H2IiDWH0vx0EMPTUsuuWQ655xzsgvQtY022ih/5CtJ/rvuuiv/rkzh8l5lDnPlNmNR8sX36EAgyGl09FNIOcoQsLdj4/4zn/lMJhnWkv0X+y6sgkJOVvispGWXXTbvndxyyy2ZGDbeeONMOKwZBMAyoLBXXHHFbEW4TmFTymussUbex0IczQp5IHLickOIJbGeEB5LjIXXV2LtcJuxrrjwWE2XXHJJJrRf/OIX2WpBEAsssEBabrnlMhmR1QcGCNd+F0LzynGExMqaMGFCbhf3Hdff+973vvTDH/5wMjnJv9tuu6UHH3zwTWKRGWb2upRNLvtTN9100/8EbbwpY/wx4hEIchrxXRQCjkYEuPAOPvjgTB6ULPeZaDiK3Ma9vSJEgnjs1yAawRAHHnhgOuSQQ7J7jYJlzbjHs0oUL+vAntSNN96YP8rkOmOdIcThkNMxxxyT3WAFXxbHxRdfnK2e/sjJvSyjAw44IG2++eZ5X0g5AhHIwNUmmnDhhRfOrktRdY2ykpdrkPvNXlIhHaSoHSLtvvGNb6RFF130TZYTYt9nn31yNGGR13exTpG4/Sp5t9hii+x2VFak0YtAkNPo7buQfAQjQCELcqBQ7Q1R2pQ/kqLICzkhE0TgXiR21VVXZWVO2Zawa6RDyYtiE1TADcYiQlo+/u+evtJAlpNADGWVNFRyQpjcjSwjkXJbbrllJmJ7PdpjT0uQAuvQ3lJfspKbBfbud787uxLtNbmPNXXyySfnfaRGtx5yYhEpuzGx5LQdScnLTQlHwROIqpmsG/PG/0c2AkFOI7t/QrpRigCrR1SbwAH7IhQ3V9b++++fFW9x61Gq559/fnaLiaoThVYsI6QmqIICFjJtX4lbT5Qey4xLUDCBcn33leogJ/KwnrjRWD6I4Je//GXejyIDqwiJ2iMT+l0CGARGlD0pRMLSmXfeeTOJIDEuQtbTJz/5yewWbHTr9UVOiAe5iuqDh/+rSyQksj/99NODnPoaFKPktyCnUdJRIeboQoCytHIXXs39JehBlBty4sLzTblS0p5DGj9+fFbmAgaQmm/7L9/5zneyxcWqsT8jlJoFJcJv9913T5MmTcoEOFAouVDtJZZYIu/DsFhYKYhF+DWCK8melcAFz1ghjoGSvSrPPC2yyCLZjYZIlS0hVIR8+OGH572krbbaKstqbwkGXJTag+CQNytrm222yRj5hg0XpuAM1iP3H1cdVyLZS4IfYpbHR1CJOpClMrgPI41eBIKcRm/fheQjGAFuPK45YdyizyhqloBoM4ED3GKSkxsoaA+2cmNdcMEF+eMBVqSGpAQYUPysL89BKfMLX/hC3pvimmO1sKz6SiwzloWoPlaFvxESWex1IceSkIogDnWTfaDESkF6gieOPvro7JIrLjTfLDZl2cMS3XfQQQflb1YNUlIv9yAL87TTTstuQQEaiFpk409+8pNMPHBkcfkdYTaSqXqQFRJjqdnjExgBHzgpP9LoRSDIafT2XUg+whHg/qJcubkocwrZb4iG8pZE87GQRJyxEvzu494zzjgjR64JQS8kIr//Nz7P436/95fsyciDmKRSBjkKofjd/91D5v72sMp9iJLl5OSJ/qws9SA8beeya8QgC/J/srCiCkbaQi4fshSZlEOm5naWOpAWmZRD/tLWUk98jz4EgpxGX5+FxKMEAYqV8qRUfYqyLb9rxt57752tI9YCBUuxIil7MFyBXFSizihtqShr5VHgRWH7vb9U8pR7fJOr/N2Yb7Br5GCR2Bvi/vPQLousv1TaP5CscCkYFbnIUeRrlKn8Vuor14aDR8kb3yMbgSCnkd0/Id0YR0Bwg30YeyXcWs67o/AFTLCouONYHCPBEkAwXI/O43NahSAFUYnFqhvjXRXN6zACQU4dBjyqCwQaERBlZ/+Ji0w0nhBzrj57KM6b89Bps7XQmL+T/xcwwdUoPB5BOc2Buy5SIFAHAkFOdaAaZQYCgUAgEAi0hUCQU1vwReZAIBAIBAKBOhAIcqoD1SgzEAgEAoFAoC0Egpzagi8yBwKBQCAQCNSBQJBTHahGmYFAIBAIBAJtIRDk1BZ8kTkQCAQCgUCgDgSCnOpANcoMBAKBQCAQaAuB/we8Ncwo4/Th8AAAAABJRU5ErkJggg==[/img][br][br]What do you notice and what do you wonder about the distributions in the two dot plots?
Here are the ages of the people at one party, listed from least to greatest.
7 8 9 10 10 11 12 15 16 20 20 22 23 24 28 30 33 35 38 42[br][br]Using the applet below, [br][list][*]Find the median of the data set and label it “50th percentile.” This splits the data into an upper half and a lower half.[/*][*]Find the middle value of the [/*][/list][i]lower[/i] half of the data, without including the median. Label this value “25th percentile.”[br]Find the middle value of the [i]upper[/i] half of the data, without including the median. Label this value “75th percentile.”
You have split the data set into four pieces. Each of the three values that split the data is called a quartile.
[list][*]We call the 25th percentile the [i]first quartile[/i]. Write “Q1” next to that number.[/*][*]The median can be called the [i]second quartile[/i]. Write “Q2” next to that number.[/*][*]We call the 75th percentile the [i]third quartile[/i]. Write “Q3” next to that number.[/*][/list][br]Label the lowest value in the set “minimum” and the greatest value “maximum.”[br][br]The values you have identified make up the [i]five-number summary[/i] for the data set. Record them here.[br][br]minimum: _____ Q1: _____ Q2: _____ Q3: _____ maximum: _____
The median of this data set is 20. This tells us that half of the people at the party were 20 years old or younger, and the other half were 20 or older. What do each of these other values tell us about the ages of the people at the party?[br][br]The third quartile:
The minimum:
The maximum:
There was another party where 21 people attended. Here is the five-number summary of their ages.
[center]minimum: [u] 5 [/u] Q1: [u] 6 [/u] Q2: [u] 27 [/u] Q3: [u] 32 [/u] maximum: [u] 60 [/u][/center]Do you think this party had more children or fewer children than the earlier one? Explain your reasoning.
Were there more children or adults at this party? Explain your reasoning.
Here is a dot plot that shows the lengths of Elena’s bus rides to school, over 12 days.
[img]data:image/png;base64,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[/img][br][br]Write the five-number summary for this data set. Show your reasoning.[br]
The [b]range [/b]is one way to describe the [i]spread [/i]of values in a data set. It is the difference between the maximum and minimum. What is the range of Elena’s travel times?[br]
[size=150]Another way to describe the spread of values in a data set is the [b]interquartile range (IQR)[/b]. It is the difference between the upper quartile and the lower quartile.[/size][br][br]What is the interquartile range (IQR) of Elena’s travel times?
What fraction of the data values are between the lower and upper quartiles?
Here are two more dot plots.
[img]data:image/png;base64,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[/img][br][br][size=150]Without doing any calculations, predict:[br][/size][br]Which data set has the smaller range?
Which data set has the smaller IQR?
Check your predictions by calculating the range and IQR for the data in each dot plot.
IM 6.8.15 Practice: Quartiles and Interquartile Range
Suppose that there are 20 numbers in a data set and that they are all different.
How many of the values in this data set are between the first quartile and the third quartile?
How many of the values in this data set are between the first quartile and the median?
In a word game, 1 letter is worth 1 point. This dot plot shows the scores for 20 common words.
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[/img][br][br]What is the median score?
What is the first quartile (Q1)?
What is the third quartile (Q3)?
What is the interquartile range (IQR)?
[size=150]Mai and Priya each played 10 games of bowling and recorded the scores. Mai’s median score was 120, and her IQR was 5. Priya’s median score was 118, and her IQR was 15. Whose scores probably had less variability? Explain how you know.[/size]
Here are five dot plots that show the amounts of time that ten sixth-grade students in five countries took to get to school. Match each dot plot with the appropriate median and IQR.
Plot the points given by dragging them to the appropriate place on the coordinate grid.
There are 20 pennies in a jar. If 16% of the coins in the jar are pennies, how many coins are there in the jar?