{"id":1727,"date":"2023-07-25T05:42:49","date_gmt":"2023-07-25T05:42:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/aralik-ve-standart-sapma\/"},"modified":"2023-07-25T05:42:49","modified_gmt":"2023-07-25T05:42:49","slug":"aralik-ve-standart-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aralik-ve-standart-sapma\/","title":{"rendered":"Menzil vs. standart sapma: her biri ne zaman kullan\u0131lmal\u0131"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Aral\u0131k<\/strong> ve <strong>standart sapma,<\/strong> bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin iki yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aral\u0131k,<\/strong> bir veri k\u00fcmesindeki minimum de\u011fer ile maksimum de\u011fer aras\u0131ndaki fark\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart sapma,<\/strong> bireysel de\u011ferlerin ortalama de\u011ferden tipik sapmas\u0131n\u0131 \u00f6l\u00e7er. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>s = \u221a(\u03a3(x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1))<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3:<\/strong> \u201ctoplam\u201d anlam\u0131na gelen bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> \u00d6rneklemdeki <sup>i&#8217;inci<\/sup> g\u00f6zlemin de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> <strong>:<\/strong> \u00d6rnek \u015fu anlama gelir:<\/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 a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Aral\u0131k<\/strong> \u015fu \u015fekilde hesaplan\u0131r: 31 -1 = 32.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standart sapman\u0131n<\/strong> 9,25 oldu\u011funu bulmak i\u00e7in hesap makinesi kullanabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">Aral\u0131k ve standart sapma: benzerlikler ve farkl\u0131l\u0131klar<\/span><\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aral\u0131k ve standart sapma <strong>a\u015fa\u011f\u0131daki benzerli\u011fi payla\u015f\u0131r:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her iki \u00f6l\u00e7\u00fcm de bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7er.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ancak aral\u0131k ve standart sapma <strong>a\u015fa\u011f\u0131daki farka sahiptir:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Aral\u0131k bize veri setindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011fer aras\u0131ndaki fark\u0131 s\u00f6yler.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standart sapma bize bireysel de\u011ferlerin veri k\u00fcmesinin ortalama de\u011ferinden tipik sapmas\u0131n\u0131 anlat\u0131r.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Menzil vs. Standart Sapma: Her Biri Ne Zaman Kullan\u0131lmal\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir veri setindeki en b\u00fcy\u00fck ve en k\u00fc\u00e7\u00fck de\u011ferler aras\u0131ndaki fark\u0131 anlamak istedi\u011fimizde <strong>range<\/strong> kullanmam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir profes\u00f6r\u00fcn 100 \u00f6\u011frenciye s\u0131nav yapt\u0131\u011f\u0131n\u0131 varsayal\u0131m. S\u0131n\u0131ftaki t\u00fcm \u00f6\u011frencilerin ald\u0131\u011f\u0131 en y\u00fcksek ve en d\u00fc\u015f\u00fck puan aras\u0131ndaki fark\u0131 anlamak i\u00e7in \u00f6l\u00e7e\u011fi kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, bir veri setinin tipik de\u011ferinin ortalama de\u011ferden ne kadar sapt\u0131\u011f\u0131n\u0131 anlamak istedi\u011fimizde <strong>standart sapmay\u0131<\/strong> kullanmal\u0131y\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir profes\u00f6r 100 \u00f6\u011frenciye s\u0131nav yap\u0131yorsa, tipik s\u0131nav puan\u0131n\u0131n ortalama s\u0131nav puan\u0131ndan ne kadar sapt\u0131\u011f\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in standart sapmay\u0131 kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 a\u00e7\u0131klamak i\u00e7in aral\u0131k veya standart sapmay\u0131 kullanmak aras\u0131nda se\u00e7im yapmak zorunda olmad\u0131\u011f\u0131m\u0131z\u0131 belirtmekte fayda var. Her iki \u00f6l\u00e7\u00fcm\u00fc de kullanabiliriz \u00e7\u00fcnk\u00fc bize tamamen farkl\u0131 bilgiler sa\u011flarlar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Aral\u0131k ve Standart Sapman\u0131n Dezavantajlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Hem aral\u0131k hem de standart sapman\u0131n bir dezavantaj\u0131 vard\u0131r: <strong>her ikisi de ayk\u0131r\u0131 de\u011ferlerden etkilenir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu g\u00f6stermek i\u00e7in a\u015fa\u011f\u0131daki veri k\u00fcmesini g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setinin aral\u0131\u011f\u0131 ve standart sapmas\u0131 i\u00e7in a\u015fa\u011f\u0131daki de\u011ferleri hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Aral\u0131k:<\/strong> 31<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Standart sapma:<\/strong> 9,25<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ancak veri k\u00fcmesinin a\u015f\u0131r\u0131 u\u00e7 de\u011ferlere sahip olup olmad\u0131\u011f\u0131n\u0131 g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Veri seti:<\/strong> 1, 4, 8, 11, 13, 17, 19, 19, 20, 23, 24, 24, 25, 28, 29, 31, 32, <strong>378<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesi i\u00e7in a\u015fa\u011f\u0131daki \u00f6l\u00e7\u00fcmleri bulmak amac\u0131yla bir hesap makinesi kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Aral\u0131k:<\/strong> 377<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Standart sapma:<\/strong> 85.02<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir ayk\u0131r\u0131 de\u011fer nedeniyle aral\u0131k ve standart sapman\u0131n nas\u0131l \u00f6nemli \u00f6l\u00e7\u00fcde de\u011fi\u015fti\u011fine dikkat edin.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her ne kadar bir veri setindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131 hakk\u0131nda fikir edinmek i\u00e7in aral\u0131k ve standart sapma faydal\u0131 \u00f6l\u00e7\u00fcmler olsa da, \u00f6ncelikle veri setinin bu de\u011ferleri etkileyen herhangi bir ayk\u0131r\u0131 de\u011fer i\u00e7ermedi\u011finden emin olmal\u0131s\u0131n\u0131z. miktar. Aksi takdirde aral\u0131k ve standart sapma yan\u0131lt\u0131c\u0131 olabilir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aral\u0131k ve standart sapma, bir veri k\u00fcmesindeki de\u011ferlerin da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin iki yoludur. Aral\u0131k, bir veri k\u00fcmesindeki minimum de\u011fer ile maksimum de\u011fer aras\u0131ndaki fark\u0131 temsil eder. Standart sapma, bireysel de\u011ferlerin ortalama de\u011ferden tipik sapmas\u0131n\u0131 \u00f6l\u00e7er. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: s = \u221a(\u03a3(x ben \u2013 x ) 2 \/ (n-1)) Alt\u0131n: \u03a3: \u201ctoplam\u201d anlam\u0131na gelen bir sembol x [&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-1727","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>Menzil vs. Standart Sapma: Her Biri Ne Zaman Kullan\u0131lmal\u0131<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde aral\u0131k ile standart sapma aras\u0131ndaki fark\u0131n yan\u0131 s\u0131ra her bir \u00f6l\u00e7\u00fcm\u00fc ne zaman kullanman\u0131z gerekti\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, 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