{"id":2087,"date":"2023-07-23T18:30:04","date_gmt":"2023-07-23T18:30:04","guid":{"rendered":"https:\/\/statorials.org\/tr\/ortalama-standart-sapmalar\/"},"modified":"2023-07-23T18:30:04","modified_gmt":"2023-07-23T18:30:04","slug":"ortalama-standart-sapmalar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ortalama-standart-sapmalar\/","title":{"rendered":"\u00c7oklu standart sapmalar\u0131n ortalamas\u0131 nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bazen iki veya daha fazla standart sapman\u0131n ortalamas\u0131n\u0131 bulmak isteyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu yapmak i\u00e7in verilerinize ba\u011fl\u0131 olarak a\u015fa\u011f\u0131daki iki form\u00fclden birini kullanabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 1: E\u015fit \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>K<\/em> grup aras\u0131ndaki ortalama standart sapmay\u0131 bulmak istiyorsan\u0131z ve her grup ayn\u0131 \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahipse a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama SD = \u221a <span style=\"border-top: 1px solid black;\">(s <sub>1<\/sub> <sup>2<\/sup> + s <sub>2<\/sub> <sup>2<\/sup> + \u2026 + s <sub>k<\/sub> <sup>2<\/sup> ) \/ k<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>sk<\/sub> :<\/strong> <sup>k&#8217;inci<\/sup> grubun standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k<\/strong> : Toplam grup say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 2: E\u015fit olmayan numune boyutlar\u0131<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>K<\/em> grup aras\u0131ndaki ortalama standart sapmay\u0131 bulmak istiyorsan\u0131z ve her grup ayn\u0131 \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahip de\u011filse a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">Ortalama SD = \u221a ((n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> + \u2026 + (n <sub>k<\/sub> -1)s <sub>k<\/sub> <sup>2<\/sup> ) \/ (n <sub>1<\/sub> +n <sub>2<\/sub> + \u2026 + n <sub>k<\/sub> \u2013 J)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>k<\/sub> :<\/strong> k <sup>.<\/sup> grup i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>sk<\/sub> :<\/strong> <sup>k&#8217;inci<\/sup> grubun standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k<\/strong> : Toplam grup say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler her form\u00fcl\u00fcn pratikte nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 1: E\u015fit \u00d6rneklem B\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in Standart Sapmalar\u0131n Ortalamas\u0131n\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki alt\u0131 sat\u0131\u015f d\u00f6nemi boyunca sat\u0131\u015flar\u0131n ortalama standart sapmas\u0131n\u0131 hesaplamak istedi\u011fimizi varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19413 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_sd1.png\" alt=\"\" width=\"329\" height=\"202\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her sat\u0131\u015f d\u00f6neminde ayn\u0131 say\u0131da sat\u0131\u015f i\u015flemi yapt\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. D\u00f6nem ba\u015f\u0131na sat\u0131\u015flar\u0131n ortalama standart sapmas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ortalama standart sapma = \u221a <span style=\"border-top: 1px solid black;\">(s <sub>1<\/sub> <sup>2<\/sup> + s <sub>2<\/sub> <sup>2<\/sup> + \u2026 + s <sub>k<\/sub> <sup>2<\/sup> ) \/ k<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama standart sapma = \u221a <span style=\"border-top: 1px solid black;\">(12 <sup>2<\/sup> + 11 <sup>2<\/sup> + 8 <sup>2<\/sup> + 8 <sup>2<\/sup> + 6 <sup>2<\/sup> + 14 <sup>2<\/sup> ) \/ 6<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama standart sapma = 10,21<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">D\u00f6nem ba\u015f\u0131na sat\u0131\u015flar\u0131n ortalama standart sapmas\u0131 <strong>10,21&#8217;dir<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Y\u00f6ntem 2: E\u015fit Olmayan \u00d6rneklem Boyutlar\u0131 i\u00e7in Standart Sapmalar\u0131n Ortalamas\u0131n\u0131 Alma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki alt\u0131 sat\u0131\u015f d\u00f6nemi boyunca sat\u0131\u015flar\u0131n ortalama standart sapmas\u0131n\u0131 hesaplamak istedi\u011fimizi varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19414 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne_sd2.png\" alt=\"\" width=\"423\" height=\"215\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (toplam i\u015flemler) her sat\u0131\u015f d\u00f6neminde e\u015fit olmad\u0131\u011f\u0131ndan, d\u00f6nem ba\u015f\u0131na sat\u0131\u015flar\u0131n ortalama standart sapmas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">Ortalama SD = \u221a ((n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> + \u2026 + (n <sub>k<\/sub> -1)s <sub>k<\/sub> <sup>2<\/sup> ) \/ (n <sub>1<\/sub> +n <sub>2<\/sub> + \u2026 + n <sub>k<\/sub> \u2013 J)<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"border-top: 1px solid black;\">Ortalama SD = \u221a ((21)12 <sup>2<\/sup> + (16)11 <sup>2<\/sup> + (14)8 <sup>2<\/sup> + (18)8 <sup>2<\/sup> + (19)6 <sup>2<\/sup> + (18)14 <sup>2<\/sup> ) \/ 106<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama SD = 10,29<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">D\u00f6nem ba\u015f\u0131na sat\u0131\u015flar\u0131n ortalama standart sapmas\u0131 <strong>10,29&#8217;dur<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki \u00f6rnekteki ortalama standart sapman\u0131n olduk\u00e7a benzer oldu\u011funu unutmay\u0131n. Bunun nedeni, ikinci \u00f6rnekteki \u00f6rneklem b\u00fcy\u00fckl\u00fcklerinin (toplam i\u015flemlerin) birbirine olduk\u00e7a yak\u0131n olmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ortalama standart sapmay\u0131 hesaplamaya y\u00f6nelik iki y\u00f6ntem, yaln\u0131zca \u00f6rneklem boyutlar\u0131 gruplar aras\u0131nda \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131l\u0131k g\u00f6sterdi\u011finde \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131l\u0131k g\u00f6sterir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bazen iki veya daha fazla standart sapman\u0131n ortalamas\u0131n\u0131 bulmak isteyebilirsiniz. Bunu yapmak i\u00e7in verilerinize ba\u011fl\u0131 olarak a\u015fa\u011f\u0131daki iki form\u00fclden birini kullanabilirsiniz: Y\u00f6ntem 1: E\u015fit \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc K grup aras\u0131ndaki ortalama standart sapmay\u0131 bulmak istiyorsan\u0131z ve her grup ayn\u0131 \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahipse a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz: Ortalama SD = \u221a (s 1 2 + s 2 2 [&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-2087","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>\u00c7oklu Standart Sapmalar\u0131n Ortalamas\u0131 Nas\u0131l Bulunur - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, \u00e7oklu standart sapmalar\u0131n ortalamas\u0131n\u0131n nas\u0131l bulunaca\u011f\u0131 \u00f6rneklerle 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\/ortalama-standart-sapmalar\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00c7oklu Standart Sapmalar\u0131n Ortalamas\u0131 Nas\u0131l Bulunur - 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