{"id":2158,"date":"2023-07-23T11:09:27","date_gmt":"2023-07-23T11:09:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/ornek-populasyon-varyansi-pitonu\/"},"modified":"2023-07-23T11:09:27","modified_gmt":"2023-07-23T11:09:27","slug":"ornek-populasyon-varyansi-pitonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ornek-populasyon-varyansi-pitonu\/","title":{"rendered":"Python&#39;da \u00f6rnek ve pop\u00fclasyon varyans\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Varyans<\/strong> , bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pop\u00fclasyon varyans\u0131n\u0131<\/strong> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ N<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201cToplam\u201d anlam\u0131na gelen bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc<\/strong> : N\u00fcfus ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Pop\u00fclasyonun <sup>i&#8217;inci<\/sup> eleman\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N<\/strong> : N\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek varyans\u0131n\u0131<\/strong> hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p style=\"text-align: left;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 (x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> : \u00f6rnek ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : \u00d6rneklemin <sup>i&#8217;inci<\/sup> eleman\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Belirli bir tablo i\u00e7in \u00f6rnek varyans\u0131 ve pop\u00fclasyon varyans\u0131n\u0131 (s\u0131ras\u0131yla) h\u0131zl\u0131 bir \u015fekilde hesaplamak i\u00e7in Python&#8217;daki <a href=\"https:\/\/docs.python.org\/3\/library\/statistics.html\" target=\"_blank\" rel=\"noopener\">istatistik<\/a> k\u00fct\u00fcphanesindeki <strong>varyans<\/strong> ve <strong>pvaryans<\/strong> fonksiyonlar\u0131n\u0131 kullanabiliriz.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statistics <span style=\"color: #008000;\">import<\/span> variance, pvariance<\/span>\n\n#calculate sample variance<\/span>\nvariance(s)\n\n<span style=\"color: #008080;\">#calculate population variance\n<\/span>pvariance(x)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler her bir fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Python&#8217;da \u00d6rnek Varyans\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod Python&#8217;da bir tablonun \u00f6rnek varyans\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statistics <span style=\"color: #008000;\">import<\/span> variance<\/span> \n\n#define data<\/span>\ndata = [4, 8, 12, 15, 9, 6, 14, 18, 12, 9, 16, 17, 17, 20, 14]\n\n<span style=\"color: #008080;\">#calculate sample variance\n<\/span>variance(data)\n\n22,067\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u00d6rnek varyans\u0131 <strong>22.067<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Python&#8217;da N\u00fcfus Varyans\u0131n\u0131 Hesaplamak<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod Python&#8217;da bir tablonun pop\u00fclasyon varyans\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">from<\/span> statistics <span style=\"color: #008000;\">import<\/span> pvariance<\/span> \n\n#define data<\/span>\ndata = [4, 8, 12, 15, 9, 6, 14, 18, 12, 9, 16, 17, 17, 20, 14]\n\n<span style=\"color: #008080;\">#calculate sample variance\n<\/span>pvariance(data)\n\n20,596<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">N\u00fcfus varyans\u0131 <strong>20.596<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rneklem ve Pop\u00fclasyon Varyans\u0131n\u0131n Hesaplanmas\u0131na \u0130li\u015fkin Notlar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rneklem ve pop\u00fclasyon varyans\u0131n\u0131 hesaplarken a\u015fa\u011f\u0131dakileri akl\u0131n\u0131zda bulundurun:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00dczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z veri seti t\u00fcm pop\u00fclasyonu, yani ilgilendi\u011finiz her de\u011feri temsil ediyorsa <strong>pop\u00fclasyon varyans\u0131n\u0131<\/strong> hesaplaman\u0131z gerekir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z veri seti daha b\u00fcy\u00fck bir pop\u00fclasyondan al\u0131nan bir \u00f6rne\u011fi temsil ediyorsa <strong>\u00f6rnek varyans\u0131n\u0131<\/strong> hesaplaman\u0131z gerekir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir veri tablosunun \u00f6rnek varyans\u0131 her zaman ayn\u0131 veri tablosunun pop\u00fclasyon varyans\u0131ndan daha b\u00fcy\u00fck olacakt\u0131r \u00e7\u00fcnk\u00fc \u00f6rnek varyans\u0131 hesaplan\u0131rken daha fazla belirsizlik vard\u0131r, dolay\u0131s\u0131yla varyansa ili\u015fkin tahminimiz daha b\u00fcy\u00fck olacakt\u0131r.<\/span><\/li>\n<\/ul>\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 yay\u0131lma metriklerinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/python-ceyrekler-arasi-aralik\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da \u00e7eyrekler aras\u0131 aral\u0131k nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-varyasyon-katsayisi\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Varyasyon Katsay\u0131s\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/python-listesi-standart-sapmasi\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da bir listenin standart sapmas\u0131 nas\u0131l hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Varyans , bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. Pop\u00fclasyon varyans\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: \u03c3 2 = \u03a3 (x ben \u2013 \u03bc) 2 \/ N Alt\u0131n: \u03a3 : \u201cToplam\u201d anlam\u0131na gelen bir sembol \u03bc : N\u00fcfus ortalamas\u0131 x i : Pop\u00fclasyonun i&#8217;inci eleman\u0131 N : N\u00fcfus b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00d6rnek varyans\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir: s 2 [&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-2158","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 bir \u00f6rneklem ve pop\u00fclasyonun varyans\u0131 nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da hem \u00f6rnek varyans\u0131n hem de pop\u00fclasyon varyans\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 \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\/ornek-populasyon-varyansi-pitonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da bir \u00f6rneklem ve pop\u00fclasyonun varyans\u0131 nas\u0131l hesaplan\u0131r - 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