{"id":276,"date":"2023-08-03T06:11:34","date_gmt":"2023-08-03T06:11:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/numune-standart-sapmasi-veya-numune-standart-sapmasi\/"},"modified":"2023-08-03T06:11:34","modified_gmt":"2023-08-03T06:11:34","slug":"numune-standart-sapmasi-veya-numune-standart-sapmasi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/numune-standart-sapmasi-veya-numune-standart-sapmasi\/","title":{"rendered":"\u00d6rnek standart sapmas\u0131 (veya \u00f6rnek standart sapmas\u0131)"},"content":{"rendered":"<p>Bu makalede istatistikte \u00f6rnek standart sapman\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Benzer \u015fekilde, \u00f6rnek standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve \u00f6rnek standart sapmas\u0131 ile pop\u00fclasyon standart sapmas\u0131 aras\u0131ndaki fark\u0131n ne oldu\u011funu \u00f6\u011freneceksiniz. Son olarak, herhangi bir numunenin standart sapmas\u0131n\u0131 \u00e7evrimi\u00e7i bir hesap makinesiyle hesaplayabilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-desviacion-estandar-muestral\"><\/span> \u00d6rneklem standart sapmas\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u00d6rnek standart sapmas\u0131<\/strong> (veya <strong>\u00f6rnek standart sapmas\u0131<\/strong> ), bir \u00f6rne\u011fin de\u011fi\u015fkenli\u011fini g\u00f6steren bir da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Daha kesin olarak, numunenin standart sapmas\u0131, sapmalar\u0131n karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn numune b\u00fcy\u00fckl\u00fc\u011f\u00fc eksi bire b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> \u00d6rnek standart sapman\u0131n sembol\u00fc k\u00fc\u00e7\u00fck harf <em>s&#8217;dir<\/em> .<\/p>\n<p> \u00d6rneklem standart sapmas\u0131na bazen onu pop\u00fclasyon standart sapmas\u0131ndan ay\u0131rmak i\u00e7in yar\u0131 standart sapma (veya yar\u0131 standart sapma) ad\u0131 verilir. A\u015fa\u011f\u0131da \u00f6rnek standart sapman\u0131n pop\u00fclasyon standart sapmas\u0131ndan ne kadar farkl\u0131 oldu\u011funu g\u00f6rece\u011fiz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-desviacion-estandar-muestral\"><\/span> Standart Sapma Form\u00fcl\u00fc \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Numune standart sapmas\u0131, numune verilerinin sapmalar\u0131n\u0131n karelerinin toplam\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn numune b\u00fcy\u00fckl\u00fc\u011f\u00fc eksi bire b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle <strong>numune standart sapmas\u0131n\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\/formule-pour-lecart-type-de-lechantillon-ou-lecart-type-de-lechantillon.png\" alt=\"\u00f6rnek standart sapma veya \u00f6rnek standart sapma form\u00fcl\u00fc.png\" class=\"wp-image-5855\" width=\"352\" height=\"308\" 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-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnek standart sapmas\u0131 (veya \u00f6rnek standart sapmas\u0131).<\/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> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/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> \u00f6rnek anlam\u0131na gelir.<\/li>\n<\/ul>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri \u00f6rne\u011finin standart sapmas\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-desviacion-estandar-muestral\"><\/span> Numune standart sapmas\u0131n\u0131 hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k \u00f6rnek standart sapman\u0131n (veya \u00f6rnek standart sapman\u0131n) tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu bildi\u011fimize g\u00f6re, bunun nas\u0131l hesapland\u0131\u011f\u0131n\u0131 anlamay\u0131 tamamlamak i\u00e7in basit bir \u00f6rnek \u00e7\u00f6zece\u011fiz.<\/p>\n<ul>\n<li> Bir ayakkab\u0131 \u015firketi yeni bir ayakkab\u0131 modeli piyasaya s\u00fcr\u00fcp s\u00fcrmemeye karar vermek i\u00e7in pazar ara\u015ft\u0131rmas\u0131 yap\u0131yor. Pek \u00e7ok farkl\u0131 model oldu\u011fu ve h\u0131zl\u0131 bir \u00f6n analiz yapmak istedi\u011finiz i\u00e7in, en iyi be\u015f rakip ayakkab\u0131 markas\u0131n\u0131n fiyatlar\u0131na bakmaya karar veriyorsunuz (fiyatlar a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir). Bu veri setinin standart sapmas\u0131 nedir?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> \u20ac98 \u20ac70 \u20ac125 \u20ac89 \u20ac75<\/p>\n<p> \u00d6rneklem standart sapmas\u0131n\u0131 hesaplamak i\u00e7in \u00f6ncelikle <a href=\"https:\/\/statorials.org\/tr\/ornek-ortalama\/\">\u00f6rnek ortalamas\u0131n\u0131<\/a> hesaplamam\u0131z gerekir:<\/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-129bc4568ffeb630fec0f50f68232d78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{98+70+125+89+75}{5}=91,4\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"278\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u00d6rnek ortalamas\u0131 hesapland\u0131ktan sonra \u00f6rnek standart sapma form\u00fcl\u00fcn\u00fc uygular\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-aa9643bab4e499ed9535cf199236d8f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s=\\sqrt{\\frac{\\displaystyle\\sum_{i=1}^n\\left(x_i-\\overline{x}\\right)^2}{n-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"153\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> \u00d6rnek 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-ca5ef69fd4eefbb7b110c4f6f28cd528_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s=\\sqrt{\\frac{\\displaystyle (98-91,4)^2+(70-91,4)^2+(125-91,4)^2+(89-91,4)^2+(75-91,4)^2}{5-1}}\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"627\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla geriye kalan tek \u015fey numunenin standart sapmas\u0131n\u0131 hesaplamak i\u00e7in gerekli i\u015flemleri \u00e7\u00f6zmektir:<\/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-0a9a5050ca14179085932bb9cc550ebb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle s&amp;=\\sqrt{\\frac{6,6^2+(-21,4)^2+33,6^2+(-2,4)^2+(-16,4)^2}{4}}\\\\[2ex]\\displaystyle s&amp;=\\sqrt{\\frac{43,56+457,96+1128,96+5,76+268,96}{4}}\\\\[2ex]s&amp;=\\sqrt{\\frac{1905,2}{4}}\\\\[2ex]s&amp;=\\sqrt{476,3}\\\\[2ex]s&amp;=21,82 \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"257\" width=\"417\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu nedenle analiz edilen numunenin \u00f6rnekleme fark\u0131 21,82 Euro&#8217;dur. <\/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\/numune-sapmasi\/\">\u00d6rnekleme varyasyonlar\u0131<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"desviacion-estandar-muestral-y-desviacion-estandar-poblacional\"><\/span> \u00d6rneklem standart sapmas\u0131 ve pop\u00fclasyon standart sapmas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Daha sonra, \u00f6rneklem standart sapmas\u0131 ile pop\u00fclasyon standart sapmas\u0131 aras\u0131ndaki farklar\u0131n ne oldu\u011funu g\u00f6rece\u011fiz \u00e7\u00fcnk\u00fc bunlar, a\u00e7\u0131kl\u0131\u011fa kavu\u015fturmam\u0131z gereken birbiriyle ili\u015fkili iki istatistiksel kavramd\u0131r.<\/p>\n<p> Stad\u00edstica&#8217;da, <strong>pop\u00fclasyonun standart sapmas\u0131,<\/strong> pop\u00fclasyonun t\u00fcm unsurlar\u0131 ile hesaplama yap\u0131l\u0131rken elde edilen standart sapmad\u0131r, ancak <strong>standart sapma,<\/strong> hesaplaman\u0131n pop\u00fclasyondan al\u0131nan tek bir veri \u00f6rne\u011fi ile yap\u0131lmas\u0131yla elde edilen standart sapmad\u0131r. .<\/p>\n<p> Matematiksel olarak <strong>\u00f6rneklem standart sapmas\u0131 ile pop\u00fclasyon standart sapmas\u0131 aras\u0131ndaki fark,<\/strong> hesaplanmas\u0131nda kullan\u0131lan form\u00fcl\u00fcn paydas\u0131d\u0131r. \u00d6rneklem standart sapmas\u0131n\u0131 hesaplamak i\u00e7in n-1&#8217;e b\u00f6l\u00fcnmesi gerekir; pop\u00fclasyon standart sapmas\u0131 ise n&#8217;ye b\u00f6l\u00fcnerek hesaplan\u0131r.<\/p>\n<p> Ayr\u0131ca \u00f6rneklem standart sapmas\u0131n\u0131 pop\u00fclasyon standart sapmas\u0131ndan ay\u0131rt etmek i\u00e7in farkl\u0131 sembollerle temsil edilirler. \u00d6rneklem standart sapmas\u0131n\u0131n sembol\u00fc s harfi, pop\u00fclasyon standart sapmas\u0131n\u0131n sembol\u00fc ise Yunanca \u03c3 harfidir.<\/p>\n<p> Genel olarak, bir pop\u00fclasyonun t\u00fcm unsurlar\u0131 bilinmez; bu nedenle istatistiksel \u00e7al\u0131\u015fma, pop\u00fclasyonun bir \u00f6rne\u011fi \u00fczerinde y\u00fcr\u00fct\u00fcl\u00fcr. B\u00f6ylece \u00f6rneklem standart sapmas\u0131, t\u00fcm pop\u00fclasyonun standart sapma de\u011ferinin nokta tahminini yapmak i\u00e7in kullan\u0131l\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\/\">N\u00fcfus standart sapmas\u0131<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-desviacion-estandar-muestral\"><\/span> Standart Sapma Hesaplay\u0131c\u0131 \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Numune standart sapmas\u0131n\u0131 (veya numune standart sapmas\u0131n\u0131) hesaplamak i\u00e7in bir numunenin verilerini a\u015fa\u011f\u0131daki \u00e7evrimi\u00e7i hesaplay\u0131c\u0131ya girin. 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=\"\u00d6rnek standart sapmas\u0131n\u0131 hesaplay\u0131n\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte \u00f6rnek standart sapman\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Benzer \u015fekilde, \u00f6rnek standart sapman\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 ve \u00f6rnek standart sapmas\u0131 ile pop\u00fclasyon standart sapmas\u0131 aras\u0131ndaki fark\u0131n ne oldu\u011funu \u00f6\u011freneceksiniz. Son olarak, herhangi bir numunenin standart sapmas\u0131n\u0131 \u00e7evrimi\u00e7i bir hesap makinesiyle hesaplayabilirsiniz. \u00d6rneklem standart sapmas\u0131 nedir? \u00d6rnek standart sapmas\u0131 (veya \u00f6rnek standart sapmas\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-276","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>Standart sapma \u00f6rne\u011fi: nedir, form\u00fcl ve hesap makinesi<\/title>\n<meta name=\"description\" content=\"\u00d6rnek standart sapmas\u0131 nedir (veya \u00f6rnek standart sapmas\u0131) - Nas\u0131l hesaplan\u0131r (form\u00fcl) - \u00c7\u00f6z\u00fclm\u00fc\u015f \u00f6rnek - Hesap Makinesi\" \/>\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\/numune-standart-sapmasi-veya-numune-standart-sapmasi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Standart sapma \u00f6rne\u011fi: nedir, form\u00fcl ve hesap makinesi\" \/>\n<meta property=\"og:description\" content=\"\u00d6rnek standart sapmas\u0131 nedir (veya \u00f6rnek standart sapmas\u0131) - 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