{"id":135,"date":"2023-08-05T02:39:38","date_gmt":"2023-08-05T02:39:38","guid":{"rendered":"https:\/\/statorials.org\/tr\/temel-kural\/"},"modified":"2023-08-05T02:39:38","modified_gmt":"2023-08-05T02:39:38","slug":"temel-kural","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/temel-kural\/","title":{"rendered":"Genel kural"},"content":{"rendered":"<p>Bu yaz\u0131da istatistikte temel kural\u0131n ne oldu\u011funu ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu \u00f6\u011freneceksiniz. Ek olarak, temel kurala ili\u015fkin ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-regla-empirica\"><\/span> Temel kural nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte, <strong>68-95-99,7 kural\u0131<\/strong> olarak da adland\u0131r\u0131lan <strong>temel kural<\/strong> , normal da\u011f\u0131l\u0131mdaki ortalaman\u0131n \u00fc\u00e7 standart sapmas\u0131 dahilinde kalan de\u011ferlerin y\u00fczdesini tan\u0131mlayan bir kurald\u0131r.<\/p>\n<p> Yani genel kural \u015funu belirtir:<\/p>\n<ul>\n<li> De\u011ferlerin %68&#8217;i ortalaman\u0131n bir standart sapmas\u0131 dahilindedir.<\/li>\n<li> De\u011ferlerin %95&#8217;i ortalaman\u0131n iki standart sapmas\u0131 dahilindedir.<\/li>\n<li> De\u011ferlerin %99,7&#8217;si ortalaman\u0131n \u00fc\u00e7 standart sapmas\u0131 dahilindedir. <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regle-empirique.png\" alt=\"Genel kural\" class=\"wp-image-2764\" width=\"530\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-regla-empirica\"><\/span> Ba\u015fparmak Kural\u0131 Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Temel kural a\u015fa\u011f\u0131daki form\u00fcllerle de ifade edilebilir: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e92eaf9290bcca728ecc254cc4db66f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-1\\sigma\\leq X \\leq \\mu+1\\sigma)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3e71dd42960bbc41b7e7422a76e2c09c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-2\\sigma\\leq X \\leq \\mu+2\\sigma)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e746a83d35dd0de33d187c4b2c901e04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-3\\sigma\\leq X \\leq \\mu+3\\sigma)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> normal da\u011f\u0131l\u0131m taraf\u0131ndan y\u00f6netilen rastgele bir de\u011fi\u015fkenin g\u00f6zlemidir,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> da\u011f\u0131l\u0131m\u0131n ortalamas\u0131d\u0131r ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> standart sapmas\u0131. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">Aritmetik ortalama nedir?<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-veya-standart-sapma\/\">Standart sapma nedir?<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-regla-empirica\"><\/span> \u00d6rnek temel kural<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k ampirik kural\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu bildi\u011fimize g\u00f6re, normal da\u011f\u0131l\u0131m\u0131n ampirik kural\u0131n\u0131n temsili de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131na dair somut bir \u00f6rnek g\u00f6relim.<\/p>\n<ul>\n<li> Belirli bir b\u00f6lgedeki y\u0131ll\u0131k do\u011fum say\u0131s\u0131n\u0131n ortalamas\u0131 10.000 ve standart sapmas\u0131 1.000 olan normal bir da\u011f\u0131l\u0131m izledi\u011fini biliyoruz. Bu normal da\u011f\u0131l\u0131m\u0131n ampirik kural\u0131n\u0131n karakteristik aral\u0131klar\u0131n\u0131 hesaplay\u0131n.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d09b321949a08b77332ea928d62a8bff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu=10000\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"79\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0135bc054da6b9586f68fb0d8fa10274_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma=1000\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Yukar\u0131da a\u00e7\u0131kland\u0131\u011f\u0131 gibi, temel kural aral\u0131klar\u0131n\u0131 hesaplamaya y\u00f6nelik form\u00fcller \u015funlard\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e92eaf9290bcca728ecc254cc4db66f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-1\\sigma\\leq X \\leq \\mu+1\\sigma)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3e71dd42960bbc41b7e7422a76e2c09c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-2\\sigma\\leq X \\leq \\mu+2\\sigma)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"270\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e746a83d35dd0de33d187c4b2c901e04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\mu-3\\sigma\\leq X \\leq \\mu+3\\sigma)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>Bu nedenle egzersiz verilerini form\u00fcllerde de\u011fi\u015ftiriyoruz: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-071728b8171e6298d5d87844d9a7c435_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(10000-1\\cdot 1000\\leq X \\leq 10000+1\\cdot 1000)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cab8ec3bbd5f0a77239069d42c6d3a6d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(10000-2\\cdot 1000\\leq X \\leq 10000+2\\cdot 1000)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"413\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5b65d82fd46ec1867ef7495209fa55b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(10000-3\\cdot 1000\\leq X \\leq 10000+3\\cdot 1000)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Ve hesaplamalar yap\u0131ld\u0131\u011f\u0131nda elde edilen sonu\u00e7lar \u015funlard\u0131r: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e6f922719937bb5efbf52c36cc66012d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(9000\\leq X \\leq 11000)\\approx 0,6827\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-55c2ae5f287da3e1f9b60aefcf4a792c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(8000\\leq X \\leq 12000)\\approx 0,9545\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b799f69b8991d29afbaf1ca6da4014ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(7000\\leq X \\leq 13000)\\approx 0,9973\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"247\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> B\u00f6ylece do\u011fum say\u0131s\u0131n\u0131n [9000,11000] aral\u0131\u011f\u0131nda olma olas\u0131l\u0131\u011f\u0131n\u0131n %68,27, [8000,12000] aral\u0131\u011f\u0131nda olma olas\u0131l\u0131\u011f\u0131n\u0131n %95,45 ve son olarak %99,73 olas\u0131l\u0131\u011f\u0131n\u0131n oldu\u011fu sonucuna var\u0131yoruz. [7000,13000] aras\u0131ndad\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tabla-de-valores-de-la-regla-empirica\"><\/span> Temel De\u011ferler Kural\u0131 Tablosu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> 68, 95 ve 99,7 de\u011ferlerinin yan\u0131 s\u0131ra standart sapma kullan\u0131larak ba\u015fka olas\u0131l\u0131k de\u011ferleri de bulunabilir. A\u015fa\u011f\u0131da normal da\u011f\u0131l\u0131m olas\u0131l\u0131klar\u0131n\u0131 i\u00e7eren bir tablo g\u00f6rebilirsiniz: <\/p>\n<figure class=\"wp-block-table is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> D\u00fczenli<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Olas\u0131l\u0131k<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 0,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.382924922548026<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 1\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.682689492137086<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 1,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.866385597462284<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 2\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.954499736103642<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 2,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.987580669348448<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 3\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,997300203936740<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b13,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999534741841929<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 4\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.999936657516334<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u03bc \u00b1 4,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.999993204653751<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999999426696856<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b15,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999999962020875<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 6\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,999999998026825<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> \u00b5\u00b16,5\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,9999999999919680<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> u \u00b1 7\u03c3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0.9999999999997440<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> Tablodaki t\u00fcm bu say\u0131sal de\u011ferler normal da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonundan gelmektedir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da istatistikte temel kural\u0131n ne oldu\u011funu ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu \u00f6\u011freneceksiniz. Ek olarak, temel kurala ili\u015fkin ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 g\u00f6rebileceksiniz. Temel kural nedir? \u0130statistikte, 68-95-99,7 kural\u0131 olarak da adland\u0131r\u0131lan temel kural , normal da\u011f\u0131l\u0131mdaki ortalaman\u0131n \u00fc\u00e7 standart sapmas\u0131 dahilinde kalan de\u011ferlerin y\u00fczdesini tan\u0131mlayan bir kurald\u0131r. Yani genel kural \u015funu belirtir: De\u011ferlerin %68&#8217;i [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-135","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Temel kural nedir? 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