{"id":934,"date":"2023-07-28T06:14:54","date_gmt":"2023-07-28T06:14:54","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d0%b2%d1%96%d0%b4%d0%bd%d0%be%d1%81%d0%bd%d0%b0-%d1%87%d0%b0%d1%81%d1%82%d0%be%d1%82%d0%b0-python\/"},"modified":"2023-07-28T06:14:54","modified_gmt":"2023-07-28T06:14:54","slug":"%d0%b2%d1%96%d0%b4%d0%bd%d0%be%d1%81%d0%bd%d0%b0-%d1%87%d0%b0%d1%81%d1%82%d0%be%d1%82%d0%b0-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d0%b2%d1%96%d0%b4%d0%bd%d0%be%d1%81%d0%bd%d0%b0-%d1%87%d0%b0%d1%81%d1%82%d0%be%d1%82%d0%b0-python\/","title":{"rendered":"\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0412\u0456\u0434\u043d\u043e\u0441\u043d\u0430 \u0447\u0430\u0441\u0442\u043e\u0442\u0430<\/strong> \u0432\u0438\u043c\u0456\u0440\u044e\u0454, \u044f\u043a \u0447\u0430\u0441\u0442\u043e \u043f\u0435\u0432\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0437\u2019\u044f\u0432\u043b\u044f\u0454\u0442\u044c\u0441\u044f \u0432 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445 <em>\u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e<\/em> \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u043e\u0457 \u043a\u0456\u043b\u044c\u043a\u043e\u0441\u0442\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0442\u0430\u043a\u0443 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0432 Python \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0438\u0445 \u0447\u0430\u0441\u0442\u043e\u0442:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">def<\/span> <span style=\"color: #3366ff;\">rel_freq<\/span> (x):<\/strong><\/span>\n<span style=\"color: #000000;\"><strong>freqs = [(value, x.count(value) \/ len(x)) for value in set(x)]<\/strong><\/span>\n<span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">return<\/span> freqs<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0456 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u043f\u043e\u043a\u0430\u0437\u0443\u044e\u0442\u044c, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0446\u0456.<\/span><\/p>\n<h3> <strong>\u041f\u0440\u0438\u043a\u043b\u0430\u0434 1: \u0412\u0456\u0434\u043d\u043e\u0441\u043d\u0456 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0434\u043b\u044f \u0441\u043f\u0438\u0441\u043a\u0443 \u0447\u0438\u0441\u0435\u043b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u0443\u0454, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0438\u0445 \u0447\u0430\u0441\u0442\u043e\u0442 \u0441\u043f\u0438\u0441\u043a\u0443 \u0447\u0438\u0441\u0435\u043b:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data<\/span>\ndata = [1, 1, 1, 2, 3, 4, 4]\n\n<span style=\"color: #008080;\">#calculate relative frequencies for each value in list\n<\/span>rel_freq(data)\n\n[(1, 0.42857142857142855),\n (2, 0.14285714285714285),\n (3, 0.14285714285714285),\n (4, 0.2857142857142857)]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0421\u043f\u043e\u0441\u0456\u0431 \u0456\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0456\u0457 \u0446\u044c\u043e\u0433\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0443:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab1\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,42857<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab2\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,142857<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab3\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,142857<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab4\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,28571<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0412\u0438 \u043f\u043e\u043c\u0456\u0442\u0438\u0442\u0435, \u0449\u043e \u0432\u0441\u0456 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0456 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0432 \u0441\u0443\u043c\u0456 \u0434\u043e\u0440\u0456\u0432\u043d\u044e\u044e\u0442\u044c 1.<\/span><\/p>\n<h3> <strong>\u041f\u0440\u0438\u043a\u043b\u0430\u0434 2: \u0412\u0456\u0434\u043d\u043e\u0441\u043d\u0456 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0434\u043b\u044f \u0441\u043f\u0438\u0441\u043a\u0443 \u0441\u0438\u043c\u0432\u043e\u043b\u0456\u0432<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u0443\u0454, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e\u0457 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0441\u043f\u0438\u0441\u043a\u0443 \u0441\u0438\u043c\u0432\u043e\u043b\u0456\u0432:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data<\/span>\ndata = ['a', 'a', 'b', 'b', 'c']\n\n<span style=\"color: #008080;\">#calculate relative frequencies for each value in list\n<\/span>rel_freq(data)\n\n[('a', 0.4), ('b', 0.4), ('c', 0.2)]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0421\u043f\u043e\u0441\u0456\u0431 \u0456\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0456\u0457 \u0446\u044c\u043e\u0433\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0443:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00aba\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,4<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00abb\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,4<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00abc\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,2<\/strong> \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0417\u043d\u043e\u0432\u0443 \u0436 \u0442\u0430\u043a\u0438, \u0443\u0441\u0456 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0456 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0432 \u0441\u0443\u043c\u0456 \u0434\u0430\u044e\u0442\u044c 1.<\/span><\/p>\n<h3> <strong>\u041f\u0440\u0438\u043a\u043b\u0430\u0434 3: \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0456 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0434\u043b\u044f \u0441\u0442\u043e\u0432\u043f\u0446\u044f \u0443 pandas DataFrame<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043a\u043e\u0434 \u043f\u043e\u043a\u0430\u0437\u0443\u0454, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0438\u0445 \u0447\u0430\u0441\u0442\u043e\u0442 \u0434\u043b\u044f \u043f\u0435\u0432\u043d\u043e\u0433\u043e \u0441\u0442\u043e\u0432\u043f\u0446\u044f \u0432 pandas DataFrame:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#define data\n<\/span>data = pd.DataFrame({'A': [25, 15, 15, 14, 19],\n                     'B': [5, 7, 7, 9, 12],\n                     'C': [11, 8, 10, 6, 6]})\n\n<span style=\"color: #008080;\">#calculate relative frequencies of values in column 'A'\n<\/span>rel_freq( <span style=\"color: #008000;\">list<\/span> (data['A']))\n\n[(25, 0.2), (19, 0.2), (14, 0.2), (15, 0.4)]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0421\u043f\u043e\u0441\u0456\u0431 \u0456\u043d\u0442\u0435\u0440\u043f\u0440\u0435\u0442\u0430\u0446\u0456\u0457 \u0446\u044c\u043e\u0433\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0443:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab25\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,2<\/strong> \u0443 \u0441\u0442\u043e\u0432\u043f\u0446\u0456.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab19\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,2<\/strong> \u0443 \u0441\u0442\u043e\u0432\u043f\u0446\u0456.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab14\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,2<\/strong> \u0443 \u0441\u0442\u043e\u0432\u043f\u0446\u0456.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0417\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u00ab15\u00bb \u043c\u0430\u0454 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 <strong>0,4<\/strong> \u0443 \u0441\u0442\u043e\u0432\u043f\u0446\u0456.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0417\u043d\u043e\u0432\u0443 \u0436 \u0442\u0430\u043a\u0438, \u0443\u0441\u0456 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0456 \u0447\u0430\u0441\u0442\u043e\u0442\u0438 \u0432 \u0441\u0443\u043c\u0456 \u0434\u0430\u044e\u0442\u044c 1.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0414\u043e\u0434\u0430\u0442\u043a\u043e\u0432\u0456 \u0440\u0435\u0441\u0443\u0440\u0441\u0438<br \/><\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/uk\/\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440-\u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e\u0456-\u0447\u0430\u0441\u0442\u043e\u0442\u0438\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e\u0457 \u0447\u0430\u0441\u0442\u043e\u0442\u0438<\/a><br \/> <a href=\"https:\/\/statorials.org\/uk\/\u0433\u0456\u0441\u0442\u043e\u0433\u0440\u0430\u043c\u0430-\u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e\u0456-\u0447\u0430\u0441\u0442\u043e\u0442\u0438-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0413\u0456\u0441\u0442\u043e\u0433\u0440\u0430\u043c\u0430 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e\u0457 \u0447\u0430\u0441\u0442\u043e\u0442\u0438: \u0432\u0438\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f + \u043f\u0440\u0438\u043a\u043b\u0430\u0434<\/a><br \/> <a href=\"https:\/\/statorials.org\/uk\/\u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0430-\u0447\u0430\u0441\u0442\u043e\u0442\u0430-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 \u0432 Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0412\u0456\u0434\u043d\u043e\u0441\u043d\u0430 \u0447\u0430\u0441\u0442\u043e\u0442\u0430 \u0432\u0438\u043c\u0456\u0440\u044e\u0454, \u044f\u043a \u0447\u0430\u0441\u0442\u043e \u043f\u0435\u0432\u043d\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0437\u2019\u044f\u0432\u043b\u044f\u0454\u0442\u044c\u0441\u044f \u0432 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u043e \u0437\u0430\u0433\u0430\u043b\u044c\u043d\u043e\u0457 \u043a\u0456\u043b\u044c\u043a\u043e\u0441\u0442\u0456 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u0443 \u043d\u0430\u0431\u043e\u0440\u0456 \u0434\u0430\u043d\u0438\u0445. \u0412\u0438 \u043c\u043e\u0436\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0442\u0430\u043a\u0443 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0432 Python \u0434\u043b\u044f \u043e\u0431\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044f \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0438\u0445 \u0447\u0430\u0441\u0442\u043e\u0442: def rel_freq (x): freqs = [(value, x.count(value) \/ len(x)) for value in set(x)] return freqs \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0456 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u043f\u043e\u043a\u0430\u0437\u0443\u044e\u0442\u044c, \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u0446\u044e \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u0446\u0456. \u041f\u0440\u0438\u043a\u043b\u0430\u0434 1: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u042f\u043a \u043e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438 \u0432\u0456\u0434\u043d\u043e\u0441\u043d\u0443 \u0447\u0430\u0441\u0442\u043e\u0442\u0443 \u0432 Python - \u0421\u0442\u0430\u0442\u043e\u043b\u043e\u0433\u0456\u044f<\/title>\n<meta name=\"description\" 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