{"id":278,"date":"2023-08-03T05:34:09","date_gmt":"2023-08-03T05:34:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/"},"modified":"2023-08-03T05:34:09","modified_gmt":"2023-08-03T05:34:09","slug":"ortalamanin-ornekleme-dagilimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/","title":{"rendered":"Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131"},"content":{"rendered":"<p>Bu makale istatistikte ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca ortalama \u00f6rnekleme da\u011f\u0131l\u0131m form\u00fcl\u00fcn\u00fc ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmay\u0131 da bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-muestral-de-la-media\"><\/span> Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<\/strong> (veya <strong>ortalamalar\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<\/strong> ), bir pop\u00fclasyondan olas\u0131 her \u00f6rne\u011fin \u00f6rnekleme ortalamas\u0131n\u0131n hesaplanmas\u0131ndan kaynaklanan da\u011f\u0131l\u0131md\u0131r. Yani, bir pop\u00fclasyondaki t\u00fcm olas\u0131 \u00f6rneklerden elde edilen <a href=\"https:\/\/statorials.org\/tr\/ornek-ortalama\/\">\u00f6rnek<\/a> ortalamalar\u0131 k\u00fcmesi, ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131 olu\u015fturur.<\/p>\n<p> Veya ba\u015fka bir deyi\u015fle, bir pop\u00fclasyondan al\u0131nabilecek t\u00fcm \u00f6rnekleri incelersek ve \u00f6rneklerin her birinin ortalamas\u0131n\u0131 hesaplarsak, hesaplanan de\u011ferler k\u00fcmesi, \u00f6rnek ortalamas\u0131n\u0131n bir \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131 olu\u015fturur.<\/p>\n<p> \u0130statistikte ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131, tek bir \u00f6rnek analiz edilirken anak\u00fctle ortalamas\u0131n\u0131n de\u011ferine yakla\u015fma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in kullan\u0131l\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-distribucion-muestral-de-la-media\"><\/span> Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 i\u00e7in form\u00fcl<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ortalama ile <a href=\"https:\/\/statorials.org\/tr\/normal-dagilim\/\">normal bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131<\/a> takip eden bir pop\u00fclasyon g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda<\/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-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> ve standart sapma<\/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> ve boyut \u00f6rnekleri \u00e7\u0131kar\u0131ld\u0131<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki \u00f6zelliklere sahip bir normal da\u011f\u0131l\u0131mla da tan\u0131mlanacakt\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-44571aa7337b095ab9c9fa1f746e93a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\mu_{\\overline{x}}=\\mu \\qquad \\sigma_{\\overline{x}}=\\cfrac{\\sigma}{\\sqrt{n}}\\\\[4ex]\\displaystyle N_{\\overline{x}}\\left(\\mu, \\frac{\\sigma}{\\sqrt{n}}\\right) \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"159\" style=\"vertical-align: 0px;\"><\/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-8ed084decbdfb365889aae767cf63e81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu_{\\overline{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p> ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\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-9067e28d896c7e5278763081c6cc40d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_{\\overline{x}}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"19\" style=\"vertical-align: -3px;\"><\/p>\n<p> onun standart sapmas\u0131d\u0131r. \u00dcstelik,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7d78e2a2f2fae99a53eb087263cbb478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\sigma}{\\sqrt{n}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"26\" style=\"vertical-align: -16px;\"><\/p>\n<p> \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n standart hatas\u0131d\u0131r.<\/p>\n<p> <strong>Not:<\/strong> E\u011fer pop\u00fclasyon normal bir da\u011f\u0131l\u0131m izlemiyorsa ancak \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc b\u00fcy\u00fckse (n&gt;30), ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 merkezi limit teoremi ile \u00f6nceki normal da\u011f\u0131l\u0131ma da yakla\u015ft\u0131r\u0131labilir.<\/p>\n<p> Bu nedenle, ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 normal bir da\u011f\u0131l\u0131m izledi\u011finden, <strong>\u00f6rnek ortalamas\u0131na ili\u015fkin herhangi bir olas\u0131l\u0131\u011f\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/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-ecd8bcb78b739c50d01b8bad563e5cb7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z=\\cfrac{\\overline{x}-\\mu}{\\displaystyle\\frac{\\sigma}{\\sqrt{n}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"58\" width=\"81\" style=\"vertical-align: -34px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnek anlam\u0131na gelir.<\/li>\n<li style=\"margin-bottom:5px\">\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> Bu n\u00fcfus ortalamas\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> n\u00fcfus standart sapmas\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0be116875001706f29a24434bd0d91c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Z\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> standart normal da\u011f\u0131l\u0131m N(0,1) taraf\u0131ndan tan\u0131mlanan bir de\u011fi\u015fkendir. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-distribucion-muestral-de-la-media\"><\/span> Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131na ili\u015fkin ger\u00e7ek d\u00fcnya \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131 ve ilgili form\u00fcllerin neler oldu\u011funu g\u00f6rd\u00fckten sonra kavram\u0131 daha iyi anlamak i\u00e7in bir \u00f6rnek \u00e7\u00f6zelim.<\/p>\n<ul>\n<li> \u00dcniversite \u00f6\u011frencilerinin a\u011f\u0131rl\u0131klar\u0131 ortalamas\u0131 68 kg, standart sapmas\u0131 9 kg olan normal bir da\u011f\u0131l\u0131m izlemektedir. Azimli:\n<ol>\n<li> Rastgele se\u00e7ilen 25 \u00f6\u011frenciden olu\u015fan ortalaman\u0131n 66 kg&#8217;dan az olma olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<li> Her biri 25 \u00f6\u011frenciden olu\u015fan 300 numune al\u0131n\u0131rsa ka\u00e7 numunenin ortalamas\u0131 66 kg&#8217;dan k\u00fc\u00e7\u00fck olur?<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<p> \u00d6ncelikle ilgili istatisti\u011fin de\u011ferini hesaplamam\u0131z gerekiyor, bunun i\u00e7in yukar\u0131da g\u00f6rd\u00fc\u011f\u00fcm\u00fcz form\u00fcl\u00fc uyguluyoruz:<\/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-b132f95081cac0e4028d5e8148514671_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle Z=\\frac{\\overline{x}-\\mu}{\\displaystyle\\frac{\\sigma}{\\sqrt{n}}}=\\frac{66-68}{\\displaystyle\\frac{9}{\\sqrt{25}}}=-1,11\" title=\"Rendered by QuickLaTeX.com\" height=\"62\" width=\"238\" style=\"vertical-align: -38px;\"><\/p>\n<\/p>\n<p> Bu nedenle arad\u0131\u011f\u0131m\u0131z olas\u0131l\u0131k, Z olas\u0131l\u0131k tablosundan kolayca elde edilebilecek standart normal da\u011f\u0131l\u0131m\u0131n sol kuyru\u011funun Z=-1,11 de\u011ferine kar\u015f\u0131l\u0131k gelen olas\u0131l\u0131kt\u0131r. Bu nedenle problemin bize sorma olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Z tablosunu kullan\u0131r\u0131z: <\/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-0db3a516f2be44a78c4f69958a9f0d51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[\\overline{x}\\leq 66]=P[Z\\leq -1,11] =0,1335\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"283\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\/normal-dagilim-tablosu\/\">Tablo Z<\/a><\/div>\n<p> Art\u0131k rastgele bir numunenin ortalamas\u0131n\u0131n 66 kg&#8217;dan az olma olas\u0131l\u0131\u011f\u0131n\u0131 bildi\u011fimize g\u00f6re, 300 e\u015fit numune alarak numune say\u0131s\u0131n\u0131n 66 kg&#8217;dan az oldu\u011funu bilmek i\u00e7in hesaplanan olas\u0131l\u0131\u011f\u0131 al\u0131nan numunelerin toplam say\u0131s\u0131yla \u00e7arpmam\u0131z gerekir:<\/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-7d2519cbeabf4b272e6f5a1463472768_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0,1335\\cdot 300 =40,05 \\approx 40\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Bu nedenle, \u00e7\u0131kar\u0131lan \u00f6rneklerin yakla\u015f\u0131k 40 tanesinin ortalamas\u0131 66 kg&#8217;\u0131n alt\u0131nda olacakt\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayr\u0131ca ortalama \u00f6rnekleme da\u011f\u0131l\u0131m form\u00fcl\u00fcn\u00fc ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmay\u0131 da bulacaks\u0131n\u0131z. Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 nedir? Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 (veya ortalamalar\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131 ), bir pop\u00fclasyondan olas\u0131 her \u00f6rne\u011fin \u00f6rnekleme ortalamas\u0131n\u0131n hesaplanmas\u0131ndan kaynaklanan da\u011f\u0131l\u0131md\u0131r. Yani, bir pop\u00fclasyondaki t\u00fcm olas\u0131 \u00f6rneklerden elde edilen \u00f6rnek ortalamalar\u0131 k\u00fcmesi, ortalaman\u0131n [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-278","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131<\/title>\n<meta name=\"description\" content=\"Burada ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.\" \/>\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\/ortalamanin-ornekleme-dagilimi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131\" \/>\n<meta property=\"og:description\" content=\"Burada ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T05:34:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/\",\"url\":\"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/\",\"name\":\"\u25b7 Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T05:34:09+00:00\",\"dateModified\":\"2023-08-03T05:34:09+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131","description":"Burada ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131","og_description":"Burada ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.","og_url":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/","og_site_name":"Statorials","article_published_time":"2023-08-03T05:34:09+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"3 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/","url":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/","name":"\u25b7 Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-03T05:34:09+00:00","dateModified":"2023-08-03T05:34:09+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Burada ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fc ve ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131n\u0131n somut bir \u00f6rne\u011fini bulacaks\u0131n\u0131z.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/ortalamanin-ornekleme-dagilimi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Ortalaman\u0131n \u00f6rnekleme da\u011f\u0131l\u0131m\u0131"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/tr\/#website","url":"https:\/\/statorials.org\/tr\/","name":"Statorials","description":"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Person","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48","name":"Dr.benjamin anderson","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr.benjamin anderson"},"description":"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=278"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/278\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}