{"id":252,"date":"2023-08-03T14:33:41","date_gmt":"2023-08-03T14:33:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/yari-standart-sapma\/"},"modified":"2023-08-03T14:33:41","modified_gmt":"2023-08-03T14:33:41","slug":"yari-standart-sapma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/yari-standart-sapma\/","title":{"rendered":"Yar\u0131 standart sapma"},"content":{"rendered":"<p>Bu makalede istatistikte yar\u0131 standart sapman\u0131n ne oldu\u011fu ve nas\u0131l hesapland\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece yar\u0131 standart sapma form\u00fcl\u00fcn\u00fc, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ek olarak herhangi bir veri k\u00fcmesinin yar\u0131 standart sapmas\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesi bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-cuasidesviacion-tipica\"><\/span> Yar\u0131 standart sapma nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>yar\u0131 standart sapma<\/strong> , numunenin de\u011fi\u015fkenli\u011fini g\u00f6steren bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Spesifik olarak, yar\u0131 standart sapma, sapmalar\u0131n karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn, toplam veri noktas\u0131 say\u0131s\u0131 eksi bire b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> Yar\u0131 standart sapman\u0131n sembol\u00fc \u03c3 <sub>n-1<\/sub> veya <sub>n-1&#8217;dir<\/sub> .<\/p>\n<p> Yar\u0131 standart sapma ayn\u0131 zamanda <strong>yar\u0131 standart sapma<\/strong> olarak da adland\u0131r\u0131labilir ve bazen \u00f6rnek standart sapma olarak da adland\u0131r\u0131l\u0131r, \u00e7\u00fcnk\u00fc genellikle istatistiksel bir \u00f6rnekten al\u0131nan de\u011ferler kullan\u0131larak hesaplan\u0131r. A\u015fa\u011f\u0131da yar\u0131 standart sapma ile standart sapma aras\u0131ndaki fark hakk\u0131nda ayr\u0131nt\u0131l\u0131 bilgi verece\u011fiz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-cuasidesviacion-tipica\"><\/span> Yar\u0131 standart sapma form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yar\u0131 standart sapma, veri serisindeki sapmalar\u0131n karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn toplam g\u00f6zlem say\u0131s\u0131 eksi bire b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle, <strong>yar\u0131 standart sapmay\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quasi-ecart-type-quasi-ecart-type.png\" alt=\"yar\u0131 standart sapma (veya yar\u0131 standart sapma) form\u00fcl\u00fc\" class=\"wp-image-5840\" width=\"374\" height=\"325\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-70a702348011b35abaf2b648487c4998_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_{n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"35\" style=\"vertical-align: -3px;\"><\/p>\n<p> Bu yar\u0131 standart sapmad\u0131r.<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> veri de\u011feri<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-31318c5dcb226c69e0818e5f7d2422b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"i\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:3px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> toplam veri say\u0131s\u0131d\u0131r.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a39858a792fb4fe9a3173e004701f2a7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> veri setinin ortalamas\u0131d\u0131r.<\/li>\n<\/ul>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri seti i\u00e7in yar\u0131 standart sapmay\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesaplay\u0131c\u0131y\u0131 kullanabilirsiniz.<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-cuasidesviacion-tipica\"><\/span> Yar\u0131 standart sapmay\u0131 hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yar\u0131 standart sapman\u0131n tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, a\u015fa\u011f\u0131da bir veri setinin yar\u0131 standart sapmas\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair basit bir \u00f6rnek g\u00f6rebilirsiniz.<\/p>\n<ul>\n<li> Bir \u015firketin ara\u015ft\u0131rma ve geli\u015ftirme departman\u0131na ay\u0131rd\u0131\u011f\u0131 b\u00fct\u00e7e, \u015firketin \u00f6nceki y\u0131lda elde etti\u011fi ekonomik k\u00e2ra ba\u011fl\u0131 oldu\u011fundan \u00e7ok de\u011fi\u015fkendir. B\u00f6ylece son be\u015f y\u0131lda bu kesimin b\u00fct\u00e7esi \u015f\u00f6yle oldu: 3, 6, 2, 9, 4 milyon euro. Bu veri serisinin yar\u0131 standart sapmas\u0131n\u0131 hesaplay\u0131n.<\/li>\n<\/ul>\n<p> Yar\u0131 standart sapmay\u0131 belirlemek i\u00e7in yapmam\u0131z gereken ilk \u015fey, \u00f6rne\u011fin aritmetik ortalamas\u0131n\u0131 hesaplamakt\u0131r. Bunu yapmak i\u00e7in t\u00fcm verileri toplay\u0131p toplam g\u00f6zlem say\u0131s\u0131na b\u00f6l\u00fcyoruz ki bu da be\u015ftir:<\/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-29d93bdafc53afa6ed1e684cdf0ed8cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{3+6+2+9+4}{5}=4,8\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"216\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Daha sonra yar\u0131 standart sapma form\u00fcl\u00fcn\u00fc uyguluyoruz:<\/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-786dbf31e95896cedb683a798d79f7bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma_{n-1}=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^n(x_i-\\overline{x})^2}{n-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"178\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Verileri form\u00fclde de\u011fi\u015ftiririz:<\/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-8c12cd15768af127c1c6066507049c11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\sigma_{n-1}=\\sqrt{\\frac{(3-4,8)^2+(6-4,8)^2+(2-4,8)^2+(9-4,8)^2+(4-4,8)^2}{5-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"557\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> Ve son olarak yar\u0131 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-cdc4009f508347a23cacbf71c71c98cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle\\sigma_{n-1} &amp; = \\sqrt{\\frac{(-1,8)^2+1,2^2+(-2,8)^2+4,2^2+(-0,8)^2}{5-1}}\\\\[2ex]&amp;=\\sqrt{\\frac{3,24+1,44+7,84+17,64+0,64}{4}}\\\\[2ex]&amp;= \\sqrt{\\frac{30,8}{4}}=\\sqrt{7,7}=2,77 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"173\" width=\"418\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> K\u0131sacas\u0131 veri \u00f6rne\u011finin yar\u0131 standart sapmas\u0131 2,77 milyondur. <\/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\/yari-varyans\/\">Yar\u0131-varyans<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-cuasidesviacion-tipica\"><\/span> Yar\u0131 standart sapma hesaplay\u0131c\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Yar\u0131 standart sapmas\u0131n\u0131 hesaplamak i\u00e7in bir istatistiksel veri setini a\u015fa\u011f\u0131daki \u00e7evrimi\u00e7i hesap makinesine tak\u0131n. Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir. <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"3 6 2 9 0.7 4 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Yar\u0131 standart sapmay\u0131 hesaplay\u0131n\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"cuasidesviacion-tipica-y-desviacion-tipica\"><\/span> Yar\u0131 standart sapma ve standart sapma<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak yar\u0131 standart sapma ile standart sapma aras\u0131ndaki fark\u0131n ne oldu\u011funu g\u00f6rece\u011fiz \u00e7\u00fcnk\u00fc bunlar \u00e7ok benzer ada sahip ve \u00e7ok benzer \u015fekilde hesaplanan iki farkl\u0131 istatistiksel \u00f6l\u00e7\u00fcd\u00fcr.<\/p>\n<p> <strong>Yar\u0131 standart sapma ile standart sapma aras\u0131ndaki fark<\/strong> form\u00fcl\u00fcn paydas\u0131d\u0131r. Yar\u0131 standart sapmay\u0131 hesaplamak i\u00e7in n-1&#8217;e b\u00f6l\u00fcn, ancak standart sapma n&#8217;ye b\u00f6l\u00fcnerek hesaplan\u0131r.<\/p>\n<p> Bu nedenle yar\u0131 standart sapma ve standart sapma matematiksel olarak ili\u015fkilidir, \u00e7\u00fcnk\u00fc yar\u0131 standart sapma standart sapma \u00e7arp\u0131 n&#8217;nin (toplam veri noktas\u0131 say\u0131s\u0131) n-1&#8217;in karek\u00f6k\u00fcne e\u015fittir.<\/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-fae89f4c6945f3a4cfeb4ba7d4921a9d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\sigma_{n-1}=\\sqrt{\\frac{n}{n-1}}\\cdot \\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"147\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u00d6nceki denklemden, ayn\u0131 veri seti i\u00e7in yar\u0131 standart sapma de\u011ferinin her zaman standart sapma de\u011ferinden daha b\u00fcy\u00fck olaca\u011f\u0131 sonucunu \u00e7\u0131karabiliriz.<\/p>\n<p> Ek olarak, yar\u0131 standart sapma form\u00fcl\u00fc, \u00f6nyarg\u0131y\u0131 ortadan kald\u0131rd\u0131\u011f\u0131 i\u00e7in bir numunenin standart sapmas\u0131n\u0131 hesaplamak i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r. Bu nedenle yar\u0131 standart sapma, pop\u00fclasyon standart sapmas\u0131n\u0131n iyi bir tahmincisidir. Bu nedenle, bir \u00f6rnekten istatistiksel \u00e7\u0131kar\u0131m yaparken standart sapman\u0131n hesapland\u0131\u011f\u0131n\u0131 s\u00f6ylemek olduk\u00e7a yayg\u0131nd\u0131r, ancak ger\u00e7ekte hesaplanan yar\u0131 standart sapmad\u0131r. <\/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 sapman\u0131n \u00f6zellikleri<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte yar\u0131 standart sapman\u0131n ne oldu\u011fu ve nas\u0131l hesapland\u0131\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece yar\u0131 standart sapma form\u00fcl\u00fcn\u00fc, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve ek olarak herhangi bir veri k\u00fcmesinin yar\u0131 standart sapmas\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesi bulacaks\u0131n\u0131z. Yar\u0131 standart sapma nedir? \u0130statistikte yar\u0131 standart sapma , numunenin de\u011fi\u015fkenli\u011fini g\u00f6steren bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Spesifik olarak, yar\u0131 [&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-252","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>\u25b7 Yar\u0131 standart sapma: form\u00fcl, \u00f6rnek ve hesap makinesi<\/title>\n<meta name=\"description\" content=\"Burada yar\u0131 standart sapman\u0131n ne oldu\u011funu, nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl), somut bir \u00f6rne\u011fi ve yar\u0131 standart sapma hesaplay\u0131c\u0131s\u0131n\u0131 bulacaks\u0131n\u0131z.\" \/>\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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