{"id":2089,"date":"2023-07-23T18:12:36","date_gmt":"2023-07-23T18:12:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/"},"modified":"2023-07-23T18:12:36","modified_gmt":"2023-07-23T18:12:36","slug":"ortalamaya-kiyasla-beklenen-deger","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/","title":{"rendered":"Beklenen de\u011fer ve ortalama: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde bazen birbirinin yerine kullan\u0131lan iki terim <strong>beklenen de\u011fer<\/strong> ve <strong>ortalamad\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak a\u015fa\u011f\u0131daki terimleri farkl\u0131 durumlarda kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Beklenen de\u011fer,<\/strong> bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131n\u0131 hesaplamak istedi\u011fimizde kullan\u0131l\u0131r. Bu, veri toplamadan \u00f6nce bekledi\u011fimiz ortalama de\u011feri temsil eder.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ortalama<\/strong> genellikle belirli bir \u00f6rne\u011fin ortalama de\u011ferini hesaplamak istedi\u011fimizde kullan\u0131l\u0131r. Bu, halihaz\u0131rda toplad\u0131\u011f\u0131m\u0131z ham verilerin ortalama de\u011ferini temsil eder.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler pratikte beklenen de\u011ferin ve ortalaman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: beklenen de\u011ferin hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 bize bir <a href=\"https:\/\/statorials.org\/tr\/rastgele-degiskenler\/\" target=\"_blank\" rel=\"noopener\">rastgele de\u011fi\u015fkenin<\/a> belirli de\u011ferleri alma olas\u0131l\u0131\u011f\u0131n\u0131 anlat\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131 bize belirli bir futbol tak\u0131m\u0131n\u0131n belirli bir ma\u00e7ta belirli say\u0131da gol atma olas\u0131l\u0131\u011f\u0131n\u0131 s\u00f6yler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-14093 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.png\" alt=\"\" width=\"255\" height=\"181\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n beklenen de\u011ferini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Beklenen de\u011fer = \u03a3x * P(x)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> : veri de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(x)<\/strong> : De\u011fer olas\u0131l\u0131\u011f\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bu olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n beklenen de\u011ferini \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Beklenen de\u011fer = 0*0,18 + 1*0,34 + 2*0,35 + 3*0,11 + 4*0,02 = <strong>1,45<\/strong> gol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, tak\u0131m\u0131n belirli bir ma\u00e7ta atmas\u0131 beklenen gol say\u0131s\u0131n\u0131 temsil eder.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Ortalaman\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Genellikle ham verileri toplad\u0131ktan sonra ortalamay\u0131 hesaplar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir futbol tak\u0131m\u0131n\u0131n 15 farkl\u0131 ma\u00e7ta att\u0131\u011f\u0131 gol say\u0131s\u0131n\u0131 kaydetti\u011fimizi varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">At\u0131lan goller: 1, 1, 0, 2, 2, 1, 0, 3, 1, 1, 1, 2, 4, 3, 1<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ma\u00e7 ba\u015f\u0131na at\u0131lan ortalama gol say\u0131s\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = \u03a3x <sub>i<\/sub> \/ n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : Ham veri de\u011ferleri<\/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;\">\u00d6rne\u011fin at\u0131lan ortalama gol say\u0131s\u0131n\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = (1+1+0+2+2+1+0+3+1+1+1+2+4+3+1) \/ 15 = <strong>1.533<\/strong> gol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, tak\u0131m\u0131n ma\u00e7 ba\u015f\u0131na att\u0131\u011f\u0131 ortalama gol say\u0131s\u0131n\u0131 temsil eder.<\/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\u011fitimler olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131 hakk\u0131nda daha fazla bilgi sa\u011flar:<\/span><\/p>\n<p> Olas\u0131l\u0131k da\u011f\u0131l\u0131m tablosu nedir?<br \/><a href=\"https:\/\/statorials.org\/tr\/olasilik-dagiliminin-ortalamasi\/\" target=\"_blank\" rel=\"noopener\">Olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/olasilik-dagiliminin-standart-sapmasi\/\" target=\"_blank\" rel=\"noopener\">Olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131 nas\u0131l bulunur?<\/a><br \/> Olas\u0131l\u0131k Da\u011f\u0131l\u0131m\u0131 Hesaplay\u0131c\u0131s\u0131<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde bazen birbirinin yerine kullan\u0131lan iki terim beklenen de\u011fer ve ortalamad\u0131r . Genel olarak a\u015fa\u011f\u0131daki terimleri farkl\u0131 durumlarda kullan\u0131r\u0131z: Beklenen de\u011fer, bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131n\u0131 hesaplamak istedi\u011fimizde kullan\u0131l\u0131r. Bu, veri toplamadan \u00f6nce bekledi\u011fimiz ortalama de\u011feri temsil eder. Ortalama genellikle belirli bir \u00f6rne\u011fin ortalama de\u011ferini hesaplamak istedi\u011fimizde kullan\u0131l\u0131r. Bu, halihaz\u0131rda toplad\u0131\u011f\u0131m\u0131z ham verilerin ortalama de\u011ferini temsil [&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-2089","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>Beklenen de\u011fer ve ortalama: fark nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde istatistiklerde beklenen de\u011fer ile ortalama aras\u0131ndaki fark birka\u00e7 \u00f6rnekle 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\/ortalamaya-kiyasla-beklenen-deger\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Beklenen de\u011fer ve ortalama: fark nedir? - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde istatistiklerde beklenen de\u011fer ile ortalama aras\u0131ndaki fark birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T18:12:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/\",\"url\":\"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/\",\"name\":\"Beklenen de\u011fer ve ortalama: fark nedir? - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-23T18:12:36+00:00\",\"dateModified\":\"2023-07-23T18:12:36+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde istatistiklerde beklenen de\u011fer ile ortalama aras\u0131ndaki fark birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/ortalamaya-kiyasla-beklenen-deger\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Beklenen de\u011fer ve ortalama: fark nedir?\"}]},{\"@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. 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