{"id":81,"date":"2023-08-05T17:02:04","date_gmt":"2023-08-05T17:02:04","guid":{"rendered":"https:\/\/statorials.org\/tr\/bagil-standart-sapma\/"},"modified":"2023-08-05T17:02:04","modified_gmt":"2023-08-05T17:02:04","slug":"bagil-standart-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bagil-standart-sapma\/","title":{"rendered":"Ba\u011f\u0131l standart sapma"},"content":{"rendered":"<p>Bu makalede ba\u011f\u0131l standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. G\u00f6receli standart sapman\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fcn ne oldu\u011funu ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen bir al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\" id=\"que-es-la-desviacion-estandar-relativa\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-desviacion-estandar-relativa\"><\/span> G\u00f6receli standart sapma nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>G\u00f6receli standart sapma,<\/strong> bir veri k\u00fcmesinin ortalamas\u0131na g\u00f6re da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6steren istatistiksel bir \u00f6l\u00e7\u00fcd\u00fcr. Ba\u011f\u0131l standart sapma, verilerin standart sapmas\u0131n\u0131n ortalamas\u0131na b\u00f6l\u00fcnmesiyle hesaplan\u0131r.<\/p>\n<p> G\u00f6receli standart sapma y\u00fczde olarak ifade edilir ve de\u011feri her zaman pozitif olacakt\u0131r.<\/p>\n<p> Ba\u011f\u0131l standart sapman\u0131n yorumlanmas\u0131, bir veri \u00f6rne\u011finin da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6stermek i\u00e7in kullan\u0131l\u0131r. G\u00f6receli standart sapman\u0131n de\u011feri ne kadar b\u00fcy\u00fck olursa, veriler o kadar da\u011f\u0131n\u0131k olur. G\u00f6receli standart sapma ne kadar k\u00fc\u00e7\u00fck olursa, veriler ortalamas\u0131na o kadar yak\u0131n olur.<\/p>\n<p> Genel olarak RSD k\u0131saltmas\u0131, ba\u011f\u0131l <em>standart<\/em> sapman\u0131n sembol\u00fc olarak kullan\u0131l\u0131r. <\/p>\n<h2 class=\"wp-block-heading\" id=\"formula-de-la-desviacion-estandar-relativa\"><span class=\"ez-toc-section\" id=\"formula-de-la-desviacion-estandar-relativa\"><\/span> Ba\u011f\u0131l Standart Sapma Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>G\u00f6reli standart sapma, standart sapman\u0131n ortalamaya b\u00f6l\u00fcnmesiyle 100 ile \u00e7arp\u0131lmas\u0131yla elde edilir.<\/strong> Bu nedenle, ba\u011f\u0131l standart sapmay\u0131 hesaplamak i\u00e7in \u00f6nce standart sapmay\u0131 ve aritmetik ortalamay\u0131 belirlemeniz, ard\u0131ndan iki istatistiksel \u00f6l\u00e7\u00fcm\u00fc b\u00f6lmeniz ve son olarak 100 ile \u00e7arpman\u0131z gerekir.<\/p>\n<p> Ba\u015fka bir deyi\u015fle <strong>ba\u011f\u0131l standart sapman\u0131n form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ecart-type-relatif.png\" alt=\"ba\u011f\u0131l standart sapma\" class=\"wp-image-1738\" width=\"277\" height=\"213\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> G\u00f6reli standart sapma hesaplan\u0131rken de\u011ferin y\u00fczde olarak ifade edilmesi i\u00e7in y\u00fcz ile \u00e7arp\u0131l\u0131r. <\/p>\n<h2 class=\"wp-block-heading\" id=\"ejemplo-del-calculo-de-la-desviacion-estandar-relativa\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-desviacion-estandar-relativa\"><\/span> G\u00f6receli standart sapman\u0131n hesaplanmas\u0131na \u00f6rnek<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ba\u011f\u0131l standart sapman\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fc inceledikten sonra a\u015fa\u011f\u0131da ba\u011f\u0131l standart sapman\u0131n nas\u0131l hesapland\u0131\u011f\u0131na dair somut bir \u00f6rnek g\u00f6rebilirsiniz.<\/p>\n<ul>\n<li> A\u015fa\u011f\u0131daki istatistiksel veri setinin g\u00f6receli standart sapmas\u0131n\u0131 hesaplay\u0131n:<br \/> 4, 1, 3, 9, 12, 2, 5, 8, 3, 6<\/li>\n<\/ul>\n<p> \u00d6ncelikle verilerin standart sapmas\u0131n\u0131 bulmam\u0131z gerekiyor: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7f3ebb04fbe5b6efd68384e9010a6eb4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma= 3,29 \" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"69\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-veya-standart-sapma\/\">standart sapma hesaplay\u0131c\u0131s\u0131<\/a><\/div>\n<p> \u0130kinci olarak verilerin aritmetik ortalamas\u0131n\u0131 hesapl\u0131yoruz: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-52b0756e747b78f891ebef4aa37a32cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=5,3\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"60\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">aritmetik ortalama hesaplay\u0131c\u0131<\/a><\/div>\n<p> Veri serisinin standart sapmas\u0131n\u0131 ve aritmetik ortalamas\u0131n\u0131 \u00f6\u011frendikten sonra ba\u011f\u0131l standart sapma form\u00fcl\u00fcn\u00fc kullan\u0131r\u0131z.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cddf6bc7269879943837e29500b48a29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"RSD=\\cfrac{\\sigma}{\\overline{x}}\\cdot 100\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"117\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Son olarak hesaplanan de\u011ferleri form\u00fclde yerine koyuyoruz ve ba\u011f\u0131l standart sapmay\u0131 hesapl\u0131yoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-84104ffd417b3de51679b10e4a026a4f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"RSD=\\cfrac{3,29}{5,3}\\cdot 100=62,08 \\%\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"221\" style=\"vertical-align: -16px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede ba\u011f\u0131l standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. G\u00f6receli standart sapman\u0131n ne oldu\u011funu, form\u00fcl\u00fcn\u00fcn ne oldu\u011funu ve ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen bir al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz. G\u00f6receli standart sapma nedir? G\u00f6receli standart sapma, bir veri k\u00fcmesinin ortalamas\u0131na g\u00f6re da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6steren istatistiksel bir \u00f6l\u00e7\u00fcd\u00fcr. Ba\u011f\u0131l standart sapma, verilerin standart sapmas\u0131n\u0131n ortalamas\u0131na b\u00f6l\u00fcnmesiyle hesaplan\u0131r. G\u00f6receli standart sapma y\u00fczde olarak ifade [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-81","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>G\u00f6receli standart sapmay\u0131 hesaplay\u0131n (form\u00fcl ve \u00f6rnek)<\/title>\n<meta name=\"description\" content=\"G\u00f6receli standart sapman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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