{"id":1842,"date":"2023-07-24T18:52:36","date_gmt":"2023-07-24T18:52:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/bir-istatistigin-direncli-olmasi-ne-anlama-gelir\/"},"modified":"2023-07-24T18:52:36","modified_gmt":"2023-07-24T18:52:36","slug":"bir-istatistigin-direncli-olmasi-ne-anlama-gelir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bir-istatistigin-direncli-olmasi-ne-anlama-gelir\/","title":{"rendered":"Bir istatisti\u011fin dayan\u0131kl\u0131 olmas\u0131 ne anlama gelir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir istatisti\u011fin u\u00e7 de\u011ferlere duyarl\u0131 olmamas\u0131 durumunda <strong>dayan\u0131kl\u0131 oldu\u011fu<\/strong> s\u00f6ylenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130\u015fte esnek istatistiklere iki \u00f6rnek:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">medyan<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00e7eyrekler aras\u0131 aral\u0131k<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130\u015fte <em>ge\u00e7erli olmayan<\/em> istatistik \u00f6rnekleri:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma<\/span><\/li>\n<li> <span style=\"color: #000000;\">D\u00fczenli<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, diren\u00e7li ve diren\u00e7li olmayan istatistikler aras\u0131ndaki fark\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Diren\u00e7li ve diren\u00e7li olmayan istatistikler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri k\u00fcmesi:<\/strong> 2, 5, 6, 7, 8, 13, 15, 18, 22, 24, 29<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir hesap makinesi veya istatistik yaz\u0131l\u0131m\u0131 kullanarak, bu veri seti i\u00e7in a\u015fa\u011f\u0131daki tutma istatistiklerinin de\u011ferini hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Medyan: 13<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k: 13,5<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki esnek olmayan istatistiklerin de\u011ferini de hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama: 13.54<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma: 8,82<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k: 27<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u015eimdi bu veri k\u00fcmesine ekstrem bir ayk\u0131r\u0131 de\u011ferin eklenip eklenmedi\u011fini d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 2, 5, 6, 7, 8, 13, 15, 18, 22, 24, 29, <span style=\"color: #ff0000;\"><strong>450<\/strong><\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki esnek istatistiklerin de\u011ferini tekrar hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Medyan: 14<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7eyrekler aras\u0131 aral\u0131k: 15,75<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki esnek olmayan istatistiklerin de\u011ferini de hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama: 49.92<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma: 126,27<\/span><\/li>\n<li> <span style=\"color: #000000;\">Aral\u0131k: 448<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Veri setine a\u015f\u0131r\u0131 bir de\u011fer eklendi\u011finde diren\u00e7 d\u0131\u015f\u0131 istatistiklerin ne kadar de\u011fi\u015fti\u011fine dikkat edin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17786\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/resistant1.png\" alt=\"Diren\u00e7 istatisti\u011fi \u00f6rne\u011fi\" width=\"643\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tersine, direni\u015f sava\u015f\u00e7\u0131lar\u0131n\u0131n istatistikleri pek de\u011fi\u015fmedi. Medyan ve \u00e7eyrekler aras\u0131 aral\u0131k yaln\u0131zca \u00e7ok az de\u011fi\u015fti.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Esnek istatistikler ne zaman kullan\u0131lmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri setindeki de\u011ferlerin <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilimi-olcer\/\" target=\"_blank\" rel=\"noopener\">merkezini<\/a> ve da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in en s\u0131k kullan\u0131lan istatistikler s\u0131ras\u0131yla ortalama ve standart sapmad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Maalesef bu istatistiklerin her ikisi de u\u00e7 de\u011ferlere duyarl\u0131d\u0131r. Dolay\u0131s\u0131yla, bir veri setinde ayk\u0131r\u0131 de\u011ferler mevcutsa, ortalama ve standart sapma, bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 do\u011fru bir \u015fekilde tan\u0131mlamayacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun yerine, bu istatistiklerin her ikisi de <strong>sa\u011flam<\/strong> oldu\u011fundan, ayk\u0131r\u0131 de\u011ferler mevcutsa bir veri k\u00fcmesindeki de\u011ferlerin merkezini ve da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in medyan ve \u00e7eyrekler aras\u0131 aral\u0131\u011f\u0131n kullan\u0131lmas\u0131 \u00f6nerilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/aykiri-degerler-ortalamayi-nasil-etkiler\/\" target=\"_blank\" rel=\"noopener\">Ayk\u0131r\u0131 de\u011ferler ortalamay\u0131 nas\u0131l etkiler?<\/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><br \/> <a href=\"https:\/\/statorials.org\/tr\/ceyrekler-arasi-aralik-ve-standart-sapma\/\" target=\"_blank\" rel=\"noopener\">\u00c7eyrekler aras\u0131 aral\u0131k ve standart sapma ne zaman kullan\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir istatisti\u011fin u\u00e7 de\u011ferlere duyarl\u0131 olmamas\u0131 durumunda dayan\u0131kl\u0131 oldu\u011fu s\u00f6ylenir. \u0130\u015fte esnek istatistiklere iki \u00f6rnek: medyan \u00e7eyrekler aras\u0131 aral\u0131k \u0130\u015fte ge\u00e7erli olmayan istatistik \u00f6rnekleri: Ortalama Standart sapma D\u00fczenli A\u015fa\u011f\u0131daki \u00f6rnek, diren\u00e7li ve diren\u00e7li olmayan istatistikler aras\u0131ndaki fark\u0131 g\u00f6stermektedir. \u00d6rnek: Diren\u00e7li ve diren\u00e7li olmayan istatistikler A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m: Veri k\u00fcmesi: 2, 5, 6, [&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-1842","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>Bir istatisti\u011fin dayan\u0131kl\u0131 olmas\u0131 ne anlama gelir? 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