{"id":1369,"date":"2023-07-26T16:20:05","date_gmt":"2023-07-26T16:20:05","guid":{"rendered":"https:\/\/statorials.org\/tr\/medyan-ortalama-histogrami\/"},"modified":"2023-07-26T16:20:05","modified_gmt":"2023-07-26T16:20:05","slug":"medyan-ortalama-histogrami","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/medyan-ortalama-histogrami\/","title":{"rendered":"Herhangi bir histogram\u0131n ortalamas\u0131 ve medyan\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\u015ftirmemize yard\u0131mc\u0131 olan bir grafiktir.<\/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;\">Histogramlar da\u011f\u0131l\u0131mlar\u0131 g\u00f6rselle\u015ftirmek i\u00e7in faydal\u0131 olsa da sadece histogramlara bakarak <strong>ortalama<\/strong> ve <strong>medyan<\/strong> de\u011ferleri bilmek her zaman a\u00e7\u0131k de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve bir da\u011f\u0131l\u0131m\u0131n tam ortalama ve medyan de\u011ferlerini sadece histograma bakarak bulmak m\u00fcmk\u00fcn olmasa da her iki de\u011feri de tahmin etmek m\u00fcmk\u00fcnd\u00fcr. Bu e\u011fitimde bunun nas\u0131l yap\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir histogram\u0131n ortalamas\u0131 nas\u0131l tahmin edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Herhangi bir histogram\u0131n ortalamas\u0131n\u0131n en iyi tahminini bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ortalaman\u0131n en iyi tahmini:<\/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 <a href=\"https:\/\/statorials.org\/tr\/sinifin-ortasi\/\" target=\"_blank\" rel=\"noopener\">ortas\u0131<\/a><\/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 histogram\u0131 g\u00f6z \u00f6n\u00fcnde bulundurun:<\/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;\">Ortalamaya ili\u015fkin en iyi tahminimiz \u015f\u00f6yle olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama = (5,5*2 + 15,5*7 + 25,5*10 + 35,5*3 + 45,5*1) \/ 23 = <strong>22,89<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Histograma bak\u0131ld\u0131\u011f\u0131nda bu ortalaman\u0131n makul bir tahmini gibi g\u00f6r\u00fcn\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bir histogram\u0131n medyan\u0131 nas\u0131l tahmin edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Herhangi bir histogram\u0131n medyan\u0131n\u0131n en iyi tahminini bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>En iyi medyan tahmini:<\/strong> L + ((n\/2 \u2013 F) \/ f) * w<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>L:<\/strong> Orta grubun alt s\u0131n\u0131r\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>F:<\/b> Orta gruba kadar k\u00fcm\u00fclatif frekans<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>f:<\/strong> Orta grubun frekans\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>w:<\/strong> Orta grubun geni\u015fli\u011fi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Yine a\u015fa\u011f\u0131daki histogram\u0131 g\u00f6z \u00f6n\u00fcnde bulundurun:<\/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;\">Medyanla ilgili en iyi tahminimiz \u015f\u00f6yle olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Medyan = 21 + ((25\/2 \u2013 9) \/ 10) * 9 = <strong>24,15<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Histograma bak\u0131ld\u0131\u011f\u0131nda bu ayn\u0131 zamanda medyan\u0131n makul bir tahmini gibi g\u00f6r\u00fcn\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/histogramin-standart-sapmasi\/\">Herhangi Bir Histogram\u0131n Standart Sapmas\u0131 Nas\u0131l Tahmin Edilir?<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kok-ve-yaprak-grafigi-ortalama-mod-anlamina-gelir\/\" target=\"_blank\" rel=\"noopener\">K\u00f6k ve yaprak grafiklerinde ortalama, medyan ve mod nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/frekans-tablosu-ortalamasi\/\" target=\"_blank\" rel=\"noopener\">Frekans Tablolar\u0131ndan Ortalama Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ortalama-ve-medyan-ne-zaman-kullanilir\/\" target=\"_blank\" rel=\"noopener\">Ortalama ve medyan ne zaman kullan\u0131lmal\u0131?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Histogram, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6rselle\u015ftirmemize yard\u0131mc\u0131 olan bir grafiktir. 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. Histogramlar da\u011f\u0131l\u0131mlar\u0131 g\u00f6rselle\u015ftirmek i\u00e7in faydal\u0131 olsa da sadece histogramlara bakarak ortalama ve medyan de\u011ferleri bilmek her zaman a\u00e7\u0131k de\u011fildir. Ve bir da\u011f\u0131l\u0131m\u0131n tam ortalama [&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-1369","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 ortalamas\u0131 ve medyan\u0131 nas\u0131l tahmin edilir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde \u00f6rnekler de dahil olmak \u00fczere herhangi bir histogram\u0131n ortalama ve medyan de\u011ferinin nas\u0131l tahmin edilece\u011fi 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\" 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