{"id":16,"date":"2023-08-06T20:48:20","date_gmt":"2023-08-06T20:48:20","guid":{"rendered":"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/"},"modified":"2023-08-06T20:48:20","modified_gmt":"2023-08-06T20:48:20","slug":"aritmetik-ortalama","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/","title":{"rendered":"Aritmetik ortalama"},"content":{"rendered":"<p>Burada aritmetik ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Herhangi bir istatistiksel \u00f6rne\u011fin aritmetik ortalamas\u0131n\u0131 bulmak i\u00e7in aritmetik ortalama \u00f6rnekleri ve hatta bir hesap makinesi bulacaks\u0131n\u0131z. Son olarak bu t\u00fcr ortalaman\u0131n \u00f6zelliklerinin neler oldu\u011funu ve aral\u0131klara g\u00f6re grupland\u0131r\u0131lm\u0131\u015f verilerle aritmetik ortalaman\u0131n nas\u0131l elde edildi\u011fini g\u00f6rebileceksiniz.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-media-aritmetica\"><\/span> Aritmetik ortalama nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Aritmetik ortalama, bir dizi istatistiksel verinin merkezi de\u011fer \u00f6zelli\u011fidir. <strong>Aritmetik ortalamay\u0131 hesaplamak i\u00e7in t\u00fcm de\u011ferler toplan\u0131r ve toplam veri say\u0131s\u0131na b\u00f6l\u00fcn\u00fcr.<\/strong><\/p>\n<p> Ayr\u0131ca aritmetik ortalama, bir numunenin istatistiksel \u00e7al\u0131\u015fmas\u0131n\u0131 y\u00fcr\u00fctmek i\u00e7in kullan\u0131lan ana g\u00f6stergelerden biridir.<\/p>\n<p> Dolay\u0131s\u0131yla aritmetik ortalaman\u0131n form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir: <\/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\/moyenne-arithmetique.png\" alt=\"aritmetik ortalama\" class=\"wp-image-240\" width=\"233\" height=\"233\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> <strong>Aritmetik ortalaman\u0131n sembol\u00fc<\/strong> x harfinin \u00fczerinde yatay bir bantt\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-24a8a1d0f6fbaf0d52af4d1c6b498413_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(\\overline{x}).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"27\" style=\"vertical-align: -5px;\"><\/p>\n<p> Ayr\u0131ca ortalama simgesiyle \u00f6rnek ortalamas\u0131n\u0131 pop\u00fclasyon ortalamas\u0131ndan ay\u0131rt edebilirsiniz: bir \u00f6rne\u011fin ortalamas\u0131 simgesiyle ifade edilir.<meta charset=\"utf-8\"><\/p>\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> , bir n\u00fcfusun ortalamas\u0131 i\u00e7in ise Yunan harfini kullan\u0131yoruz.<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-813b25ebeeb2f57eb45196f549132a7c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Bir pop\u00fclasyonun aritmetik ortalamas\u0131n\u0131n istatistiksel de\u011fi\u015fkenin beklenen de\u011ferine e\u015fde\u011fer oldu\u011funa dikkat edilmelidir.<\/p>\n<p> Aritmetik ortalama olarak da adland\u0131r\u0131lan aritmetik ortalama, var olan tek ortalama t\u00fcr\u00fc de\u011fildir; di\u011ferlerinin yan\u0131 s\u0131ra a\u011f\u0131rl\u0131kl\u0131 ortalama, kare ortalama, geometrik ortalama ve harmonik ortalama da vard\u0131r. Web sitemizin arama motorunda her birinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilirsiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-media-aritmetica\"><\/span> Aritmetik ortalama nas\u0131l hesaplan\u0131r<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Aritmetik ortalamay\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar ger\u00e7ekle\u015ftirilmelidir:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6rnekteki t\u00fcm istatistiksel verileri ekleyin.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6nceki toplam\u0131 toplam veri say\u0131s\u0131na b\u00f6l\u00fcn.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Elde edilen sonu\u00e7 istatistiksel \u00f6rne\u011fin aritmetik ortalamas\u0131d\u0131r.<\/span><\/li>\n<\/ol>\n<p> \ud83d\udc49Herhangi <u style=\"text-decoration-color:#FF8A05;\">bir veri setinin aritmetik 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-del-calculo-de-la-media-aritmetica\"><\/span> Aritmetik ortalamay\u0131 hesaplama \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Aritmetik ortalaman\u0131n tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, ad\u0131m ad\u0131m bir \u00f6rnek \u00e7\u00f6zerek bir veri k\u00fcmesinin aritmetik ortalamas\u0131n\u0131n nas\u0131l elde edilece\u011fini g\u00f6rece\u011fiz.<\/p>\n<ul>\n<li> Bir \u00f6\u011frenci bir okul y\u0131l\u0131 boyunca \u015fu notlar\u0131 ald\u0131: matematikte 9, dilde 7, tarihte 6, ekonomide 8 ve fen bilimlerinde 7,5. T\u00fcm notlar\u0131n\u0131z\u0131n aritmetik ortalamas\u0131 nedir?<\/li>\n<\/ul>\n<p> Aritmetik ortalamay\u0131 bulmak i\u00e7in t\u00fcm notlar\u0131 toplay\u0131p dersteki toplam ders say\u0131s\u0131na (5) b\u00f6lmemiz gerekir. Bu nedenle aritmetik ortalama 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-76bdcc6e187628b14cc363fc78433502_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}=\\frac{1}{N}\\sum_{i=1}^N x_i=\\frac{x_1+x_2+x_3+x_4+x_5}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"303\" style=\"vertical-align: -21px;\"><\/p>\n<\/p>\n<p> Verileri form\u00fclde yerine koyar\u0131z ve aritmetik ortalamay\u0131 hesaplar\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-969b50e7b19b8faaac16b429942e5474_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{9+7+5+8+7,5}{5}=7,3\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"233\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi aritmetik ortalamada her de\u011fere ayn\u0131 a\u011f\u0131rl\u0131k atan\u0131r, yani her veri par\u00e7as\u0131 b\u00fct\u00fcn i\u00e7inde ayn\u0131 a\u011f\u0131rl\u0131\u011fa sahiptir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-media-aritmetica\"><\/span> Aritmetik Ortalama Hesaplay\u0131c\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Aritmetik ortalamas\u0131n\u0131 hesaplamak i\u00e7in herhangi bir istatistiksel \u00f6rnekten verileri a\u015fa\u011f\u0131daki hesap makinesine 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=\"1 2 3 9.7 10 65.91 ...\" 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=\"Aritmetik ortalamay\u0131 hesaplay\u0131n\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"media-aritmetica-para-datos-agrupados\"><\/span> Grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in aritmetik ortalama<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Grupland\u0131r\u0131lm\u0131\u015f verilerle, verilerin gruplar veya aral\u0131klar halinde yap\u0131land\u0131r\u0131lmas\u0131n\u0131 kastediyoruz. Bu genellikle istatistiksel \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00e7ok b\u00fcy\u00fck oldu\u011funda meydana gelir.<\/p>\n<p> Dolay\u0131s\u0131yla, kavram ayn\u0131 olsa bile, veriler bir arada grupland\u0131\u011f\u0131nda aritmetik ortalaman\u0131n hesaplanmas\u0131 biraz farkl\u0131l\u0131k g\u00f6sterir.<\/p>\n<p> Aral\u0131klara g\u00f6re <strong>grupland\u0131r\u0131lm\u0131\u015f verilerin aritmetik ortalamas\u0131n\u0131 hesaplamak<\/strong> i\u00e7in, her grubun s\u0131n\u0131f puan\u0131 mutlak frekans\u0131yla \u00e7arp\u0131lmal\u0131 ve ard\u0131ndan t\u00fcm mutlak frekanslar\u0131n toplam\u0131na b\u00f6l\u00fcnmelidir. <\/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-37ed24809efdb8b75c9fa8835da0a062_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}=\\frac{\\sum_{i=1}^N x_i\\cdot f_i}{\\sum_{i=1}^N f_i} =\\frac{x_1\\cdot f_1+ x_2\\cdot f_2+\\dots +x_N\\cdot f_N}{N}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"389\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 23px; padding-bottom: 0.5px; padding-right: 40px; padding-left: 30px; border: 1px dashed #FFB74D; border-radius:20px;\">\n<p> <strong>Not:<\/strong> Bir aral\u0131\u011f\u0131n s\u0131n\u0131f puan\u0131, aral\u0131\u011f\u0131n u\u00e7 noktalar\u0131n\u0131n toplam\u0131n\u0131n ikiye b\u00f6l\u00fcnmesiyle hesaplan\u0131r. \u00d6rne\u011fin, [3,7) aral\u0131\u011f\u0131n\u0131n s\u0131n\u0131f notu \u015f\u00f6yle 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-72b59a1f00fe883bd0b5b7e105abe8ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3+7}{2}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"71\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<\/div>\n<p> Bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rebilmeniz i\u00e7in a\u015fa\u011f\u0131da aral\u0131klara g\u00f6re grupland\u0131r\u0131lm\u0131\u015f verilerin aritmetik ortalamas\u0131na ili\u015fkin \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rma bulunmaktad\u0131r:<\/p>\n<ul>\n<li> Bir grubun a\u011f\u0131rl\u0131\u011f\u0131n\u0131 istatistiksel olarak incelemek istiyoruz, bunun i\u00e7in 81 ki\u015filik temsili bir grupla g\u00f6r\u00fc\u015ft\u00fck ve a\u015fa\u011f\u0131daki verileri elde ettik: <\/li>\n<\/ul>\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\/donnees-exemple-statistiques.png\" alt=\"istatistiksel veri \u00f6rnekleri\" class=\"wp-image-260\" width=\"298\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Burada x <sub>i<\/sub> her grubun s\u0131n\u0131f puan\u0131 ve f <sub>i<\/sub> mutlak frekans\u0131, yani bu aral\u0131kta a\u011f\u0131rl\u0131\u011f\u0131 olan ki\u015fi say\u0131s\u0131d\u0131r.<\/p>\n<p> Aritmetik ortalamay\u0131 belirlemek i\u00e7in, ders notlar\u0131n\u0131n ilgili mutlak frekanslar\u0131na g\u00f6re \u00e7arp\u0131m\u0131 olan frekans tablosuna bir s\u00fctun eklemek gerekir: <\/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\/exercice-resolu-de-moyenne-arithmetique-pour-donnees-groupees.png\" alt=\"grupland\u0131r\u0131lm\u0131\u015f veriler i\u00e7in \u00e7\u00f6z\u00fclm\u00fc\u015f aritmetik ortalama al\u0131\u015ft\u0131rmas\u0131\" class=\"wp-image-262\" width=\"407\" height=\"231\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> B\u00f6ylece, grupland\u0131r\u0131lm\u0131\u015f verilerin aritmetik ortalamas\u0131n\u0131 hesaplamak i\u00e7in, ders notlar\u0131n\u0131n \u00e7arp\u0131mlar\u0131n\u0131n toplam\u0131n\u0131, frekanslar\u0131na g\u00f6re toplam veri say\u0131s\u0131na b\u00f6lmeniz 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-60343c724877d36793aa9f6ab8ff88cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\overline{x}=\\frac{\\sum_{i=1}^N x_i\\cdot f_i}{\\sum_{i=1}^N f_i} =\\frac{4985}{81}=61,54 \\text{ kg}\" title=\"Rendered by QuickLaTeX.com\" height=\"49\" width=\"279\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-media-aritmetica\"><\/span> Aritmetik ortalaman\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Aritmetik ortalama a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul>\n<li> Bir da\u011f\u0131l\u0131mdaki t\u00fcm verilerin ortalamadan sapmalar\u0131n\u0131n toplam\u0131 s\u0131f\u0131rla sonu\u00e7lan\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-726a71ae88578af5372ba9097d8f24b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sum_{i=1}^N\\left(x_i-\\overline{x}\\right)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"139\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bir \u00f6rneklemdeki t\u00fcm verilere ayn\u0131 miktar\u0131 eklersek \u00f6rneklem ortalamas\u0131 o kadar artar.<\/li>\n<\/ul>\n<ul>\n<li> \u00c7arpma i\u015fleminde de ayn\u0131 \u015fey olur, bir \u00f6rnekteki t\u00fcm de\u011ferler bir say\u0131yla \u00e7arp\u0131l\u0131rsa \u00f6rnek ortalamas\u0131 o say\u0131yla \u00e7arp\u0131l\u0131r.<\/li>\n<\/ul>\n<ul>\n<li> Aritmetik ortalama yaln\u0131zca <strong>niceliksel de\u011fi\u015fkenlerde<\/strong> hesaplanabilir. Ba\u015fka bir deyi\u015fle niteliksel de\u011fi\u015fkenlerin ortalamas\u0131n\u0131 alamazs\u0131n\u0131z.<\/li>\n<\/ul>\n<ul>\n<li> Aritmetik ortalama her zaman bir da\u011f\u0131l\u0131m\u0131n minimum ve maksimum de\u011ferleri aras\u0131nda bir de\u011fer olacakt\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-000613c74b01a3cea182db31c2c97dbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{min}\\{x_1,x_2,...,x_N\\}\\leq \\cfrac{x_1+\\dots +x_N}{N}\\leq \\text{max}\\{x_1,x_2,...,x_N\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"446\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Bu t\u00fcr ortalama, \u00e7ok y\u00fcksek veya \u00e7ok d\u00fc\u015f\u00fck de\u011ferlere kar\u015f\u0131 \u00e7ok hassast\u0131r ve ayk\u0131r\u0131 de\u011ferin aritmetik ortalaman\u0131n sonucunu \u00f6nemli \u00f6l\u00e7\u00fcde de\u011fi\u015ftirmesine neden olur.<\/li>\n<\/ul>\n<ul>\n<li> Bir veri k\u00fcmesinin aritmetik ortalamas\u0131 her zaman ayn\u0131 veri k\u00fcmesinin geometrik ortalamas\u0131na e\u015fit veya ondan daha b\u00fcy\u00fckt\u00fcr. <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c03bd7e099e5a0d5dd9f7b23c8323bcf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\frac{x_1+x_2+\\dots+x_N}{N}\\geq \\sqrt[N]{x_1+x_2+\\dots+x_N}\" title=\"Rendered by QuickLaTeX.com\" height=\"35\" width=\"335\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-la-media-aritmetica-con-excel\"><\/span> Aritmetik ortalamay\u0131 Excel ile hesaplay\u0131n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Excel&#8217;de aritmetik ortalamay\u0131 hesaplamak<\/strong> \u00e7ok basittir, \u00e7\u00fcnk\u00fc verileri bir sayfaya girmeniz ve <em>ORTALAMA<\/em> i\u015flevini kullanman\u0131z yeterlidir.<\/p>\n<p> \u00d6rne\u011fin, a\u00e7\u0131klad\u0131\u011f\u0131m\u0131z ilk \u00e7\u00f6z\u00fclm\u00fc\u015f al\u0131\u015ft\u0131rmadaki verilerin aritmetik ortalamas\u0131n\u0131 belirlemek i\u00e7in, t\u00fcm verileri bir Excel belgesine kopyalay\u0131p bir h\u00fccreye a\u015fa\u011f\u0131daki form\u00fcl\u00fc yazman\u0131z yeterlidir: <em>=ORTALAMA(9;7;5; 8;7) ,5)<\/em> . \u0130\u015flev, verilerin aritmetik ortalamas\u0131n\u0131 (7,3) d\u00f6nd\u00fcr\u00fcr.<\/p>\n<p> A\u00e7\u0131k\u00e7as\u0131, belirli say\u0131lar\u0131n aritmetik ortalamas\u0131n\u0131 Excel program\u0131yla bulmak, \u00f6zellikle \u00f6rneklem boyutu \u00e7ok b\u00fcy\u00fck oldu\u011funda, elle hesaplamaktan \u00e7ok daha h\u0131zl\u0131d\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Burada aritmetik ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz. Herhangi bir istatistiksel \u00f6rne\u011fin aritmetik ortalamas\u0131n\u0131 bulmak i\u00e7in aritmetik ortalama \u00f6rnekleri ve hatta bir hesap makinesi bulacaks\u0131n\u0131z. Son olarak bu t\u00fcr ortalaman\u0131n \u00f6zelliklerinin neler oldu\u011funu ve aral\u0131klara g\u00f6re grupland\u0131r\u0131lm\u0131\u015f verilerle aritmetik ortalaman\u0131n nas\u0131l elde edildi\u011fini g\u00f6rebileceksiniz. Aritmetik ortalama nedir? Aritmetik ortalama, bir dizi istatistiksel verinin merkezi [&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-16","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>Aritmetik ortalamay\u0131 hesaplay\u0131n: form\u00fcl, \u00f6rnekler, hesap makinesi,...<\/title>\n<meta name=\"description\" content=\"Aritmetik ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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Verilerinizin aritmetik ortalamas\u0131n\u0131 hesaplamak i\u00e7in \u00f6rnekler ve bir hesap makinesi ile.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/","og_locale":"tr_TR","og_type":"article","og_title":"Aritmetik ortalamay\u0131 hesaplay\u0131n: form\u00fcl, \u00f6rnekler, hesap makinesi,...","og_description":"Aritmetik ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. Verilerinizin aritmetik ortalamas\u0131n\u0131 hesaplamak i\u00e7in \u00f6rnekler ve bir hesap makinesi ile.","og_url":"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/","og_site_name":"Statorials","article_published_time":"2023-08-06T20:48:20+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyenne-arithmetique.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"5 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/","url":"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/","name":"Aritmetik ortalamay\u0131 hesaplay\u0131n: form\u00fcl, \u00f6rnekler, hesap makinesi,...","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-06T20:48:20+00:00","dateModified":"2023-08-06T20:48:20+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Aritmetik ortalaman\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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