{"id":2510,"date":"2023-07-21T23:16:20","date_gmt":"2023-07-21T23:16:20","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-verileri-merkezilestirme\/"},"modified":"2023-07-21T23:16:20","modified_gmt":"2023-07-21T23:16:20","slug":"pythonda-verileri-merkezilestirme","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-verileri-merkezilestirme\/","title":{"rendered":"Python&#39;da veri nas\u0131l ortalan\u0131r: \u00f6rneklerle"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir veri setini <strong>ortalamak,<\/strong> veri setindeki her bir <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemin<\/a> <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">ortalama de\u011ferini<\/a> \u00e7\u0131karmak anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri k\u00fcmesini ortalad\u0131\u011f\u0131n\u0131zda veri k\u00fcmesinin ortalama de\u011feri s\u0131f\u0131r olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler Python&#8217;da verilerin nas\u0131l merkezlenece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bir NumPy dizisinin de\u011ferlerini ortalay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">A\u015fa\u011f\u0131daki NumPy dizisine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#create NumPy array<\/span>\ndata = np. <span style=\"color: #3366ff;\">array<\/span> ([4, 6, 9, 13, 14, 17, 18, 19, 19, 21])\n\n<span style=\"color: #008080;\">#display mean of array<\/span>\n<span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">data.mean<\/span> ())\n\n14.0<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Her bir g\u00f6zlemden ortalama dizi de\u011ferini \u00e7\u0131karacak bir <a href=\"https:\/\/statorials.org\/tr\/dijital-kart\/\" target=\"_blank\" rel=\"noopener\">fonksiyon<\/a> tan\u0131mlayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create function to data center\n<span style=\"color: #000000;\">center_function = <span style=\"color: #008000;\">lambda<\/span> x: x - x. <span style=\"color: #3366ff;\">mean<\/span> ()<\/span>\n\n#apply function to original NumPy array\n<span style=\"color: #000000;\">data_centered = center_function(data)\n<\/span>\n#view updated Array\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">print<\/span> (data_centered)\n\narray([-10., -8., -5., -1., 0., 3., 4., 5., 5., 7.])\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ortaya \u00e7\u0131kan de\u011ferler veri k\u00fcmesinin ortalanm\u0131\u015f de\u011ferleridir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal tablonun ortalamas\u0131 14 oldu\u011fundan, bu i\u015flev orijinal tablodaki her bir de\u011ferden basit\u00e7e 14&#8217;\u00fc \u00e7\u0131kard\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalanm\u0131\u015f dizinin 1. de\u011feri = 4 \u2013 14 = <strong>-10<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalanm\u0131\u015f dizinin 2. de\u011feri = 6 \u2013 14 = <strong>-8<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalanm\u0131\u015f dizide 3. de\u011fer = 9 \u2013 14 = <strong>-5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve benzeri.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca ortalanm\u0131\u015f tablonun ortalamas\u0131n\u0131n s\u0131f\u0131r olup olmad\u0131\u011f\u0131n\u0131 da kontrol edebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#display mean of centered array<\/span>\n<span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">data_centered.mean<\/span> ())\n\n0.0<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Pandas DataFrame&#8217;in s\u00fctunlar\u0131n\u0131 ortalay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">A\u015fa\u011f\u0131daki pandalara sahip oldu\u011fumuzu varsayal\u0131m DataFrame:<\/span><\/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;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">x<\/span> ': [1, 4, 5, 6, 6, 8, 9],\n                   ' <span style=\"color: #ff0000;\">y<\/span> ': [7, 7, 8, 8, 8, 9, 12],\n                   ' <span style=\"color: #ff0000;\">z<\/span> ': [3, 3, 4, 4, 6, 7, 7]})\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n   X Y Z\n0 1 7 3\n1 4 7 3\n2 5 8 4\n3 6 8 4\n4 6 8 6\n5 8 9 7\n6 9 12 7<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">DataFrame&#8217;deki her s\u00fctunun de\u011ferlerini ortalamak i\u00e7in pandas <strong>application()<\/strong> i\u015flevini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#center the values in each column of the DataFrame<\/span>\ndf_centered = df. <span style=\"color: #3366ff;\">apply<\/span> ( <span style=\"color: #008000;\">lambda<\/span> x: <span style=\"color: #3366ff;\">xx.mean<\/span> ())\n\n<span style=\"color: #008080;\">#view centered DataFrame<\/span>\n<span style=\"color: #008000;\">print<\/span> (df_centered)\n\n\t        X Y Z\n0 -4.571429 -1.428571 -1.857143\n1 -1.571429 -1.428571 -1.857143\n2 -0.571429 -0.428571 -0.857143\n3 0.428571 -0.428571 -0.857143\n4 0.428571 -0.428571 1.142857\n5 2.428571 0.571429 2.142857\n6 3.428571 3.571429 2.142857 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Daha sonra her s\u00fctunun ortalama de\u011ferinin s\u0131f\u0131r oldu\u011funu do\u011frulayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#display mean of each column in the DataFrame<\/span>\ndf_centered. <span style=\"color: #3366ff;\">mean<\/span> ()\n\nx 2.537653e-16\ny-2.537653e-16\nz 3.806479e-16\ndtype:float64\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">S\u00fctun ortalamalar\u0131 bilimsel g\u00f6sterimle g\u00f6r\u00fcnt\u00fclenir, ancak her de\u011fer asl\u0131nda s\u0131f\u0131rd\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Python&#8217;da di\u011fer yayg\u0131n i\u015flemlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pythonda-orta-boy\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da k\u0131rp\u0131lm\u0131\u015f ortalama nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kare-hatasi-python-anlamina-gelir\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Ortalama Kare Hatas\u0131 (MSE) Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pandalarin-secilen-sutunlarin-ortalamasi\/\" target=\"_blank\" rel=\"noopener\">Pandalar&#8217;da se\u00e7ilen s\u00fctunlar\u0131n ortalamas\u0131 nas\u0131l hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir veri setini ortalamak, veri setindeki her bir g\u00f6zlemin ortalama de\u011ferini \u00e7\u0131karmak anlam\u0131na gelir. Bir veri k\u00fcmesini ortalad\u0131\u011f\u0131n\u0131zda veri k\u00fcmesinin ortalama de\u011feri s\u0131f\u0131r olur. A\u015fa\u011f\u0131daki \u00f6rnekler Python&#8217;da verilerin nas\u0131l merkezlenece\u011fini g\u00f6sterir. \u00d6rnek 1: Bir NumPy dizisinin de\u011ferlerini ortalay\u0131n A\u015fa\u011f\u0131daki NumPy dizisine sahip oldu\u011fumuzu varsayal\u0131m: import numpy as np #create NumPy array data = np. array [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2510","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python&#039;da Veri Nas\u0131l Ortalan\u0131r (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da verilerin nas\u0131l merkezlenece\u011fi \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/pythonda-verileri-merkezilestirme\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Veri Nas\u0131l Ortalan\u0131r (\u00d6rneklerle) - 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