{"id":15,"date":"2023-08-06T21:48:18","date_gmt":"2023-08-06T21:48:18","guid":{"rendered":"https:\/\/statorials.org\/tr\/agirlikli-ortalama\/"},"modified":"2023-08-06T21:48:18","modified_gmt":"2023-08-06T21:48:18","slug":"agirlikli-ortalama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/agirlikli-ortalama\/","title":{"rendered":"A\u011f\u0131rl\u0131kl\u0131 ortalama"},"content":{"rendered":"<p>Burada a\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 nas\u0131l bulaca\u011f\u0131m\u0131za dair \u00e7\u00f6z\u00fcml\u00fc bir al\u0131\u015ft\u0131rma g\u00f6rebileceksiniz. \u00dcstelik sondaki hesap makinesiyle herhangi bir veri setinin a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131n\u0131 hesaplayabilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-media-ponderada\"><\/span> A\u011f\u0131rl\u0131kl\u0131 ortalama nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalama, tan\u0131mlay\u0131c\u0131 istatistiklerin merkezili\u011finin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. <strong>A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 hesaplamak i\u00e7in,<\/strong> \u00f6nce her istatistiksel veriyi a\u011f\u0131rl\u0131\u011f\u0131yla (veya a\u011f\u0131rl\u0131\u011f\u0131yla) \u00e7arpman\u0131z, ard\u0131ndan t\u00fcm \u00fcr\u00fcnleri toplaman\u0131z ve son olarak a\u011f\u0131rl\u0131kl\u0131 toplam\u0131 t\u00fcm a\u011f\u0131rl\u0131klar\u0131n toplam\u0131na b\u00f6lmeniz gerekir.<\/p>\n<p> Ba\u015fka bir deyi\u015fle a\u011f\u0131rl\u0131kl\u0131 ortalama form\u00fcl\u00fc \u015fu \u015fekildedir: <\/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\/moyenne-ponderee.png\" alt=\"A\u011f\u0131rl\u0131kl\u0131 ortalama\" class=\"wp-image-208\" width=\"298\" height=\"298\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Burada <sub>xi<\/sub> her bir veri \u00f6rne\u011fini temsil eder ve <sub>wi<\/sub> buna kar\u015f\u0131l\u0131k gelen a\u011f\u0131rl\u0131\u011f\u0131 temsil eder.<\/p>\n<p> Dolay\u0131s\u0131yla bir verinin a\u011f\u0131rl\u0131\u011f\u0131 ne kadar fazlaysa, a\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n hesaplanmas\u0131nda o kadar \u00f6nemli hale gelir. Ba\u015fka bir deyi\u015fle, bir veri par\u00e7as\u0131n\u0131n a\u011f\u0131rl\u0131\u011f\u0131 ne kadar y\u00fcksek olursa, a\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n sonucu da o kadar fazla etkilenecektir.<\/p>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalama \u00f6zellikle notlar\u0131n hesaplanmas\u0131nda kullan\u0131\u015fl\u0131d\u0131r \u00e7\u00fcnk\u00fc bir ders s\u0131ras\u0131nda yap\u0131lan al\u0131\u015ft\u0131rmalar\u0131 veya s\u0131navlar\u0131 farkl\u0131 \u00f6nemlerle de\u011ferlendirmenize olanak tan\u0131r. A\u011f\u0131rl\u0131kl\u0131 ortalama ayn\u0131 zamanda bir n\u00fcfusun fiyatlar\u0131n\u0131 \u00f6l\u00e7meye y\u00f6nelik bir g\u00f6sterge olan T\u00dcFE&#8217;yi (T\u00fcketici Fiyat Endeksi) hesaplamak i\u00e7in de kullan\u0131l\u0131r.<\/p>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n yan\u0131 s\u0131ra geometrik ortalama, aritmetik ortalama, kare ortalama ve harmonik ortalama gibi ba\u015fka ortalama t\u00fcrleri de vard\u0131r.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-media-ponderada\"><\/span> A\u011f\u0131rl\u0131kl\u0131 ortalama nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131n izlenmesi gerekir:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Her istatistiksel veriyi kar\u015f\u0131l\u0131k gelen a\u011f\u0131rl\u0131\u011f\u0131yla \u00e7arp\u0131n.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6nceki ad\u0131mda hesaplanan t\u00fcm \u00fcr\u00fcnleri toplay\u0131n.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Yukar\u0131daki a\u011f\u0131rl\u0131kl\u0131 toplam\u0131 t\u00fcm a\u011f\u0131rl\u0131klar\u0131n toplam\u0131na b\u00f6l\u00fcn.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Elde edilen sonu\u00e7 istatistiksel numunenin a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131d\u0131r.<\/span><\/li>\n<\/ol>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri setinin a\u011f\u0131rl\u0131kl\u0131 ortalamas\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-de-la-media-ponderada\"><\/span>A\u011f\u0131rl\u0131kl\u0131 Ortalama \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n tan\u0131m\u0131n\u0131 g\u00f6z \u00f6n\u00fcnde bulundurarak \u015fimdi bir veri k\u00fcmesinden a\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n nas\u0131l elde edildi\u011fini tam olarak anlamak i\u00e7in bir al\u0131\u015ft\u0131rma \u00e7\u00f6zece\u011fiz.<\/p>\n<ul>\n<li> Bir lise 1. s\u0131n\u0131f \u00f6\u011frencisi matematik dersinde \u015fu notlar\u0131 ald\u0131: %30 de\u011ferindeki k\u0131smi s\u0131navdan 7, %20 de\u011ferindeki grup \u00e7al\u0131\u015fmas\u0131ndan 9, s\u0131n\u0131fta verilen a\u011f\u0131rl\u0131kl\u0131 a\u011f\u0131rl\u0131kl\u0131 al\u0131\u015ft\u0131rmalardan 6. a\u011f\u0131rl\u0131\u011f\u0131 %40 olan final s\u0131nav\u0131ndan %10 ve 8 puan. Konuyla ilgili son notunuz nedir?<\/li>\n<\/ul>\n<p> \u00d6\u011frencinin notunu belirlemek i\u00e7in ifadenin verdi\u011fi de\u011ferlerle a\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 bulman\u0131z gerekir. Bunu yapmak i\u00e7in a\u011f\u0131rl\u0131kl\u0131 ortalama 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-a9466480b1fa1efeed0d79cb707b6531_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_p}=\\cfrac{\\sum_{i=1}^N x_i\\cdot w_i}{\\sum_{i=1}^N w_i}=\\cfrac{x_1\\cdot w_1+x_2\\cdot w_2+x_3\\cdot w_3+x_4\\cdot w_4+x_5\\cdot w_5}{w_1+w_2+w_3+w_4+w_5}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"505\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> Her teslimat\u0131n puan\u0131 istatistiksel de\u011ferdir ve y\u00fczdesi s\u00f6z konusu de\u011ferin a\u011f\u0131rl\u0131\u011f\u0131na kar\u015f\u0131l\u0131k gelir. Bu nedenle de\u011ferleri ve a\u011f\u0131rl\u0131klar\u0131 form\u00fclde yerine koyuyoruz ve a\u011f\u0131rl\u0131kl\u0131 ortalama hesaplamas\u0131n\u0131 ger\u00e7ekle\u015ftiriyoruz:<\/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-b4c40861b8f18a1c3c1b03ebb30ee6cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_p}=\\cfrac{7\\cdot 0,30+9\\cdot 0,20+6\\cdot 0,10+8\\cdot 0,40}{0,30+0,20+0,10+0,40}=7,7\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"382\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla bu \u00f6\u011frencinin final matematik notu 7,7 olacakt\u0131r \u00e7\u00fcnk\u00fc bu, a\u011f\u0131rl\u0131kl\u0131 ortalamadan elde edilen sonu\u00e7tur. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-media-ponderada\"><\/span> A\u011f\u0131rl\u0131kl\u0131 Ortalama Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131n\u0131 hesaplamak i\u00e7in herhangi bir istatistiksel \u00f6rnekten verileri ve bunlar\u0131n ilgili a\u011f\u0131rl\u0131klar\u0131n\u0131 a\u015fa\u011f\u0131daki hesap makinesine girin.<\/p>\n<p> \u0130statistiksel verileri ilk kutuya, ilgili a\u011f\u0131rl\u0131klar\u0131n\u0131 ise ikinci kutuya girin. A\u011f\u0131rl\u0131klar\u0131 verilerle ayn\u0131 s\u0131rada ve ondal\u0131k formatta yazmal\u0131s\u0131n\u0131z. T\u00fcm say\u0131lar 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=\"7 9 6 8  ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><textarea name=\"pesos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"0.3 0.2 0.1 0.4 ...\" 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-top:0px; margin-bottom: 20px\" type=\"submit\" name=\"submit\" value=\"A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 hesapla\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"pesos-normalizados\"><\/span> Standartla\u015ft\u0131r\u0131lm\u0131\u015f a\u011f\u0131rl\u0131klar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> G\u00f6r\u00fcld\u00fc\u011f\u00fc gibi a\u011f\u0131rl\u0131kl\u0131 ortalamada a\u011f\u0131rl\u0131k, her bir veri par\u00e7as\u0131na az ya da \u00e7ok \u00f6nem vermek i\u00e7in verilen de\u011ferdir. Yani e\u011fer bilgi \u00e7ok \u00f6nemliyse a\u011f\u0131rl\u0131\u011f\u0131 \u00e7ok y\u00fcksek olacakt\u0131r, ancak e\u011fer bilgi \u00e7ok alakal\u0131 de\u011filse a\u011f\u0131rl\u0131\u011f\u0131 \u00e7ok d\u00fc\u015f\u00fck olacakt\u0131r.<\/p>\n<p> Normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131k, herhangi bir b\u00f6lme i\u015flemine gerek kalmadan a\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 elde etmek i\u00e7in kullan\u0131lan bir a\u011f\u0131rl\u0131kland\u0131rma t\u00fcr\u00fcd\u00fcr.<\/p>\n<p> <strong>Normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131k,<\/strong> bir veri \u00f6\u011fesinin a\u011f\u0131rl\u0131\u011f\u0131n\u0131n t\u00fcm a\u011f\u0131rl\u0131klar\u0131n toplam\u0131na b\u00f6l\u00fcnmesiyle elde edilir.<\/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-d545c9a224969ca7ee8da985ed5426f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"w_i'=\\cfrac{w_i}{\\sum_{k=1}^N w_k}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"113\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> Bu nedenle t\u00fcm normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131klar\u0131n toplam\u0131 bire 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-14d524eea7b0540e622012049655ad5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sum_{i=1}^N w_i'=1\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla, <strong>normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131klarla a\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 hesaplamak<\/strong> i\u00e7in her veri \u00f6\u011fesini normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131\u011f\u0131yla \u00e7arpman\u0131z yeterlidir:<\/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-a8e6993f8f1fa47fd17c0c41a12e2225_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x_p}=\\sum_{i=1}^N x_i\\cdot w_i'=x_1\\cdot w_1'+x_2\\cdot w_2'+\\dots+x_N\\cdot w_N'\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"389\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p> \u00d6rne\u011fin verileri 24, 35, 17, 41 ve a\u011f\u0131rl\u0131klar\u0131 4, 9, 6, 3 olan bir istatistiksel \u00f6rne\u011fimiz var. Bu veri setinin a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131n\u0131 bulmak i\u00e7in \u00f6ncelikle normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131klar\u0131 b\u00f6lerek hesaplayabiliriz. her a\u011f\u0131rl\u0131k, t\u00fcm a\u011f\u0131rl\u0131klar\u0131n toplam\u0131na g\u00f6re: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-17 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bbc85021f85f056a412eadd17dc4160d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{4+9+6+3}=0,18\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"159\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-59beb55972c66498c98541ae8c0af159_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{9}{4+9+6+3}=0,41\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"158\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-20 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-14674547f258f18c769accef0fc19cad_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6}{4+9+6+3}=0,27\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"159\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6920b49ca998ba629b2339049c936f0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3}{4+9+6+3}=0,14\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"159\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u015eimdi her veriyi normalle\u015ftirilmi\u015f a\u011f\u0131rl\u0131\u011f\u0131yla \u00e7arp\u0131n; sonu\u00e7 a\u011f\u0131rl\u0131kl\u0131 ortalama olacakt\u0131r: <\/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-9c372bf9b3176312c86c1f57024ebdd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x_p}=24\\cdot 0,18+35\\cdot 0,41+17\\cdot 0,27+41\\cdot 0,14=28,91\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"433\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"diferencia-entre-la-media-ponderada-y-la-media-aritmetica\"><\/span> A\u011f\u0131rl\u0131kl\u0131 ortalama ile aritmetik ortalama aras\u0131ndaki fark<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Benzer i\u015flemlerin yap\u0131lmas\u0131 gerekti\u011finden a\u011f\u0131rl\u0131kl\u0131 ortalama ve aritmetik ortalaman\u0131n hesaplanmas\u0131 ayn\u0131 \u015fekilde yap\u0131l\u0131r. A\u011f\u0131rl\u0131kl\u0131 ortalamada her veri noktas\u0131 a\u011f\u0131rl\u0131\u011f\u0131yla \u00e7arp\u0131l\u0131r ve a\u011f\u0131rl\u0131klar\u0131n toplam\u0131na b\u00f6l\u00fcn\u00fcr, ancak aritmetik ortalamada t\u00fcm veriler toplan\u0131p toplam veri noktas\u0131 say\u0131s\u0131na b\u00f6l\u00fcn\u00fcr.<\/p>\n<p> <strong>A\u011f\u0131rl\u0131kl\u0131 ortalama ile aritmetik ortalama aras\u0131ndaki fark<\/strong> kavram\u0131nda yatmaktad\u0131r, \u00e7\u00fcnk\u00fc aritmetik ortalamada t\u00fcm verilerin ayn\u0131 de\u011fere sahip oldu\u011fu kabul edilir, ancak a\u011f\u0131rl\u0131kl\u0131 ortalamada her veri farkl\u0131 bir a\u011f\u0131rl\u0131\u011fa sahiptir.<\/p>\n<p> T\u00fcm a\u011f\u0131rl\u0131klar\u0131n e\u015fit olmas\u0131 durumunda a\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n aritmetik ortalamaya e\u015fit olaca\u011f\u0131n\u0131 unutmay\u0131n. Matematiksel kan\u0131t\u0131n\u0131 a\u015fa\u011f\u0131da g\u00f6rebilirsiniz:<\/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-16b06cfb0813f7f4fd755ea7bbf1bf00_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\overline{x_p}&amp;=\\cfrac{x_1\\cdot w+x_2\\cdot w+x_3\\cdot w+\\dots+x_N\\cdot w}{w+w+w+\\dots +w}\\\\[2ex]&amp;= \\cfrac{w\\cdot (x_1+x_2+\\dots+x_N)}{N\\cdot w}=\\\\[2ex] &amp;= \\cfrac{x_1+x_2+\\dots+x_N}{N}=\\overline{x}\\end{aligned} \" title=\"Rendered by QuickLaTeX.com\" height=\"164\" width=\"331\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Burada a\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 nas\u0131l bulaca\u011f\u0131m\u0131za dair \u00e7\u00f6z\u00fcml\u00fc bir al\u0131\u015ft\u0131rma g\u00f6rebileceksiniz. \u00dcstelik sondaki hesap makinesiyle herhangi bir veri setinin a\u011f\u0131rl\u0131kl\u0131 ortalamas\u0131n\u0131 hesaplayabilirsiniz. A\u011f\u0131rl\u0131kl\u0131 ortalama nedir? A\u011f\u0131rl\u0131kl\u0131 ortalama, tan\u0131mlay\u0131c\u0131 istatistiklerin merkezili\u011finin bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. A\u011f\u0131rl\u0131kl\u0131 ortalamay\u0131 hesaplamak i\u00e7in, \u00f6nce her istatistiksel veriyi a\u011f\u0131rl\u0131\u011f\u0131yla (veya a\u011f\u0131rl\u0131\u011f\u0131yla) \u00e7arpman\u0131z, ard\u0131ndan t\u00fcm \u00fcr\u00fcnleri toplaman\u0131z [&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-15","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 A\u011f\u0131rl\u0131kl\u0131 ortalama: form\u00fcl, \u00f6rnekler, hesap makinesi,...<\/title>\n<meta name=\"description\" content=\"A\u011f\u0131rl\u0131kl\u0131 ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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