{"id":2977,"date":"2023-07-19T19:52:25","date_gmt":"2023-07-19T19:52:25","guid":{"rendered":"https:\/\/statorials.org\/tr\/histogramin-standart-sapmasi\/"},"modified":"2023-07-19T19:52:25","modified_gmt":"2023-07-19T19:52:25","slug":"histogramin-standart-sapmasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/histogramin-standart-sapmasi\/","title":{"rendered":"Herhangi bir histogram\u0131n standart sapmas\u0131 nas\u0131l tahmin edilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Histogram,<\/strong> bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmenin kullan\u0131\u015fl\u0131 bir yolunu sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Histogram\u0131n x ekseni veri de\u011feri gruplar\u0131n\u0131 g\u00f6r\u00fcnt\u00fcler ve y ekseni bize her grupta bir veri setindeki ka\u00e7 g\u00f6zlemin oldu\u011funu s\u00f6yler.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13591 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme_moyenne3.png\" alt=\"Histogram Ortalamas\u0131\" width=\"445\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Histogram, g\u00f6zlemleri b\u00f6lmelere yerle\u015ftirdi\u011finden, histogram taraf\u0131ndan temsil edilen veri k\u00fcmesinin tam standart sapmas\u0131n\u0131 hesaplamak m\u00fcmk\u00fcn de\u011fildir, ancak standart sapmay\u0131 tahmin etmek m\u00fcmk\u00fcnd\u00fcr.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/medyan-ortalama-histogrami\/\" target=\"_blank\" rel=\"noopener\">Herhangi Bir Histogram\u0131n Ortalamas\u0131 ve Medyan\u0131 Nas\u0131l Tahmin Edilir?<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir histogram\u0131n standart sapmas\u0131 nas\u0131l tahmin edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir histogram\u0131n standart sapmas\u0131n\u0131 tahmin etmek i\u00e7in \u00f6ncelikle ortalamay\u0131 tahmin etmeniz gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalamay\u0131 tahmin etmek i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortalama:<\/strong> \u03a3m <sub>i<\/sub> n <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>m <sub>i<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> b\u00f6lmenin ortas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> i <sup>.<\/sup> kutunun frekans\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Toplam \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki histograma sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13591 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/histogramme_moyenne3.png\" alt=\"Histogram ortalamas\u0131\" width=\"445\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu histogram\u0131n ortalama de\u011ferini \u015fu \u015fekilde tahmin edebilirsiniz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14463 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped2.png\" alt=\"Grupland\u0131r\u0131lm\u0131\u015f verilerin ortalamas\u0131n\u0131 alma form\u00fcl\u00fc\" width=\"432\" height=\"295\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ortalaman\u0131n <strong>22,89<\/strong> oldu\u011funu tahmin ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> Her grubun <a href=\"https:\/\/statorials.org\/tr\/sinifin-ortasi\/\" target=\"_blank\" rel=\"noopener\">orta noktas\u0131,<\/a> aral\u0131\u011f\u0131n alt ve \u00fcst de\u011ferlerinin ortalamas\u0131 al\u0131narak bulunabilir. \u00d6rne\u011fin birinci grubun orta noktas\u0131 \u015fu \u015fekilde hesaplan\u0131r: (1+10) \/ 2 = 5,5.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131k ortalamaya ili\u015fkin bir tahminimiz oldu\u011funa g\u00f6re, standart sapmay\u0131 tahmin etmek i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart sapma:<\/strong> \u221a <span style=\"border-top: 1px solid black;\">\u03a3n <sub>ben<\/sub> (m <sub>ben<\/sub> -\u03bc) <sup>2<\/sup> \/ (N-1)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>i<\/sub> :<\/strong> i <sup>.<\/sup> kutunun frekans\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>m <sub>i<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> b\u00f6lmenin ortas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc<\/strong> : Ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Toplam \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu form\u00fcl\u00fc veri k\u00fcmemize \u015fu \u015fekilde uygulayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14466\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mean_sd_grouped3-1.png\" alt=\"Histogram\u0131n standart sapmas\u0131n\u0131 tahmin edin\" width=\"668\" height=\"282\" srcset=\"\" sizes=\"auto, \"> <span style=\"color: #000000;\">Veri setinin standart sapmas\u0131n\u0131 <strong>9,6377<\/strong> olarak tahmin ediyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veri setinin standart sapmas\u0131na tam olarak uymas\u0131 garanti edilmese de (veri setinin <a href=\"https:\/\/statorials.org\/tr\/islenmemis-veri\/\" target=\"_blank\" rel=\"noopener\">ham veri de\u011ferlerini<\/a> bilmedi\u011fimiz i\u00e7in), standart sapmaya ili\u015fkin en iyi tahminimizi 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\u011fitimlerde gruplar halinde grupland\u0131r\u0131lm\u0131\u015f verilerle ilgili di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/gruplandirilmis-verilerin-varyansi\/\" target=\"_blank\" rel=\"noopener\">Grupland\u0131r\u0131lm\u0131\u015f verilerin varyans\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/gruplandirilmis-verilerin-medyani\/\" target=\"_blank\" rel=\"noopener\">Grupland\u0131r\u0131lm\u0131\u015f verilerin medyan\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/gruplandirilmis-veri-modu\/\" target=\"_blank\" rel=\"noopener\">Grupland\u0131r\u0131lm\u0131\u015f veri modunu bulma<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Histogram, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmenin kullan\u0131\u015fl\u0131 bir yolunu sa\u011flar. Histogram\u0131n x ekseni veri de\u011feri gruplar\u0131n\u0131 g\u00f6r\u00fcnt\u00fcler ve y ekseni bize her grupta bir veri setindeki ka\u00e7 g\u00f6zlemin oldu\u011funu s\u00f6yler. Histogram, g\u00f6zlemleri b\u00f6lmelere yerle\u015ftirdi\u011finden, histogram taraf\u0131ndan temsil edilen veri k\u00fcmesinin tam standart sapmas\u0131n\u0131 hesaplamak m\u00fcmk\u00fcn de\u011fildir, ancak standart sapmay\u0131 tahmin etmek m\u00fcmk\u00fcnd\u00fcr. A\u015fa\u011f\u0131daki \u00f6rnek [&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-2977","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>Herhangi bir histogram\u0131n standart sapmas\u0131 nas\u0131l tahmin edilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde bir histogram\u0131n standart sapmas\u0131n\u0131n nas\u0131l tahmin edilece\u011fi bir \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\/histogramin-standart-sapmasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Herhangi bir histogram\u0131n standart sapmas\u0131 nas\u0131l tahmin edilir - 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