{"id":236,"date":"2023-08-03T20:09:08","date_gmt":"2023-08-03T20:09:08","guid":{"rendered":"https:\/\/statorials.org\/tr\/normal-dagilim\/"},"modified":"2023-08-03T20:09:08","modified_gmt":"2023-08-03T20:09:08","slug":"normal-dagilim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/normal-dagilim\/","title":{"rendered":"Normal da\u011f\u0131l\u0131m"},"content":{"rendered":"<p>Bu makale istatistikte normal da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece normal da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131, normal da\u011f\u0131l\u0131m \u00f6rneklerini ve normal da\u011f\u0131l\u0131m\u0131n \u00f6zelliklerinin neler oldu\u011funu bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-normal\"><\/span> Normal da\u011f\u0131l\u0131m nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Normal da\u011f\u0131l\u0131m,<\/strong> grafi\u011fi \u00e7an \u015feklinde ve ortalamas\u0131na g\u00f6re simetrik olan s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. \u0130statistikte normal da\u011f\u0131l\u0131m \u00e7ok farkl\u0131 \u00f6zelliklere sahip olgular\u0131 modellemek i\u00e7in kullan\u0131l\u0131r, bu nedenle bu da\u011f\u0131l\u0131m \u00e7ok \u00f6nemlidir.<\/p>\n<p> Asl\u0131nda istatistikte normal da\u011f\u0131l\u0131m, t\u00fcm olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131 aras\u0131nda a\u00e7\u0131k ara en \u00f6nemli da\u011f\u0131l\u0131m olarak kabul edilir, \u00e7\u00fcnk\u00fc sadece \u00e7ok say\u0131da ger\u00e7ek d\u00fcnya olay\u0131n\u0131 modellemekle kalmaz, ayn\u0131 zamanda normal da\u011f\u0131l\u0131m di\u011fer olas\u0131l\u0131k t\u00fcrlerine yakla\u015f\u0131k olarak da kullan\u0131labilir. da\u011f\u0131t\u0131mlar. belirli ko\u015fullar alt\u0131nda.<\/p>\n<p> Normal da\u011f\u0131l\u0131m\u0131n sembol\u00fc b\u00fcy\u00fck harf N&#8217;dir. Yani bir de\u011fi\u015fkenin normal da\u011f\u0131l\u0131m izledi\u011fini belirtmek i\u00e7in N harfi ile g\u00f6sterilir ve parantez i\u00e7inde aritmetik ortalamas\u0131 ve standart sapmas\u0131 de\u011ferleri eklenir.<\/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-9e682e473c45274794b6fece4d7683f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim N(\\mu,\\sigma)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Normal da\u011f\u0131l\u0131m\u0131n <strong>Gauss da\u011f\u0131l\u0131m\u0131<\/strong> , <strong>Gauss da\u011f\u0131l\u0131m\u0131<\/strong> ve <strong>Laplace-Gauss da\u011f\u0131l\u0131m\u0131<\/strong> dahil olmak \u00fczere bir\u00e7ok farkl\u0131 ad\u0131 vard\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-distribuciones-normales\"><\/span> Normal Da\u011f\u0131l\u0131m \u00d6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Tipik olarak normal bir da\u011f\u0131l\u0131m izleyen veri k\u00fcmeleri \u00e7ok say\u0131da g\u00f6zlem i\u00e7erir ve \u00e7ok genel konular\u0131 kapsar. A\u015fa\u011f\u0131da genellikle normal da\u011f\u0131l\u0131mla modellenebilecek istatistiksel \u00f6rneklerin birka\u00e7 \u00f6rne\u011fi verilmi\u015ftir.<\/p>\n<p> <strong><u style=\"text-decoration-color:#FF8A05\">Normal da\u011f\u0131l\u0131m \u00f6rnekleri:<\/u><\/strong><\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir kurstaki \u00f6\u011frencilerin b\u00fcy\u00fckl\u00fc\u011f\u00fc.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir \u015firketin \u00e7al\u0131\u015fanlar\u0131n\u0131n IQ&#8217;su.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir fabrikada bir g\u00fcnde \u00fcretilen hatal\u0131 par\u00e7a say\u0131s\u0131.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6\u011frencilerin bir derste yapt\u0131klar\u0131 s\u0131navda ald\u0131klar\u0131 notlar.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Borsada i\u015flem g\u00f6ren \u015firketlerin hisselerinin karl\u0131l\u0131\u011f\u0131.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-normal\"><\/span> Normal da\u011f\u0131l\u0131m grafi\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Normal da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu ve bu t\u00fcr olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n baz\u0131 \u00f6rneklerini g\u00f6rd\u00fckten sonra, kavram\u0131 daha iyi anlamak i\u00e7in grafi\u011finin nas\u0131l g\u00f6r\u00fcnd\u00fc\u011f\u00fcne bakal\u0131m.<\/p>\n<p> A\u015fa\u011f\u0131daki grafikte normal da\u011f\u0131l\u0131m\u0131n yo\u011funluk fonksiyonunun aritmetik ortalama ve standart sapma de\u011ferlerine ba\u011fl\u0131 olarak nas\u0131l de\u011fi\u015fti\u011fini g\u00f6rebilirsiniz. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-normale.png\" alt=\"normal da\u011f\u0131l\u0131m grafi\u011fi\" class=\"wp-image-4862\" width=\"607\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Aritmetik ortalamay\u0131 merkeze alan \u00e7an \u015fekline sahip bir de\u011fi\u015fkenin normal da\u011f\u0131l\u0131ma sahip olmas\u0131, en \u00e7ok tekrarlanan de\u011ferin ortalama oldu\u011fu ve ortalaman\u0131n etraf\u0131ndaki de\u011ferlerin u\u00e7 de\u011ferlerden daha s\u0131k tekrarland\u0131\u011f\u0131 anlam\u0131na gelir. Benzer \u015fekilde, normal da\u011f\u0131l\u0131m\u0131n standart sapmas\u0131 ne kadar b\u00fcy\u00fck olursa, grafiksel temsilinin \u015fekli de o kadar d\u00fcz olur.<\/p>\n<p> \u00d6te yandan normal da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonunun grafi\u011fi de a\u015fa\u011f\u0131daki g\u00f6rselde g\u00f6rebilece\u011finiz gibi aritmetik ortalama ve standart sapma de\u011ferlerine ba\u011fl\u0131d\u0131r: <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-normale-probabilite-cumulative.png\" alt=\"normal da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonunun grafi\u011fi\" class=\"wp-image-4863\" width=\"606\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Normal da\u011f\u0131l\u0131m\u0131n yo\u011funluk fonksiyonu ve da\u011f\u0131l\u0131m fonksiyonu, bu da\u011f\u0131l\u0131ma ba\u011fl\u0131 olas\u0131l\u0131klar\u0131n hesaplanmas\u0131n\u0131 m\u00fcmk\u00fcn k\u0131lar. Ancak onlar\u0131n form\u00fcllerini kullanmak yerine do\u011frudan normal da\u011f\u0131l\u0131m tablolar\u0131n\u0131 kullanabilirsiniz \u00e7\u00fcnk\u00fc daha h\u0131zl\u0131d\u0131r. Bu tablolara a\u015fa\u011f\u0131daki ba\u011flant\u0131dan ula\u015fabilirsiniz: <\/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\/normal-dagilim-tablosu\/\">Normal da\u011f\u0131l\u0131m tablosu<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-normal\"><\/span> Normal da\u011f\u0131l\u0131m\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Normal da\u011f\u0131l\u0131m a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul>\n<li> Normal da\u011f\u0131l\u0131m, aritmetik ortalamas\u0131 (\u03bc) ve standart sapmas\u0131 (\u03c3) olmak \u00fczere iki karakteristik parametreye ba\u011fl\u0131d\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-9e682e473c45274794b6fece4d7683f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim N(\\mu,\\sigma)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"98\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Normal da\u011f\u0131l\u0131m pozitif ve negatif de\u011ferler alabilir, dolay\u0131s\u0131yla normal da\u011f\u0131l\u0131m\u0131n alan\u0131 ger\u00e7ek say\u0131lardan olu\u015fur.<\/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-f92764165bb4c0a92f9c5a932553f36f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"45\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<ul>\n<li> Normal da\u011f\u0131l\u0131m\u0131n medyan\u0131 ve modu, da\u011f\u0131l\u0131m\u0131n aritmetik ortalamas\u0131na e\u015fittir.<\/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-7e7ae2e9d0a74498034cde9078c1941f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me=Mo=\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Normal da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131 ve bas\u0131kl\u0131k katsay\u0131s\u0131 s\u0131f\u0131rd\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-07222608274cee7faf40d2878e04b647_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}A=0\\\\[2ex]C=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Normal da\u011f\u0131l\u0131m\u0131n yo\u011funluk fonksiyonunun form\u00fcl\u00fc \u015f\u00f6yledir:<\/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-a961aa7d7f1026ce6e78107e2ece538d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac1{\\sigma\\sqrt{2\\pi}}\\; e^{ - \\frac{(x-\\mu)^2}{2\\sigma^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"212\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> Benzer \u015fekilde normal da\u011f\u0131l\u0131m\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonu form\u00fcl\u00fc \u015f\u00f6yledir:<\/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-70d45a2b29001cf6a030973786e9ec1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X\\leq x]=\\frac{1}{\\sigma\\sqrt{2\\pi}}\\int_{-\\infty}^x e^{-\\frac{(x - \\mu)^2}{2\\sigma^2}}\\, dx ,\\quad x\\in\\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"343\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<ul>\n<li> Merkezi limit teoreminin bir uygulamas\u0131, \u03bb de\u011feri yeterince b\u00fcy\u00fck oldu\u011funda bir <a href=\"https:\/\/statorials.org\/tr\/balik-kanunu\/\">Poisson da\u011f\u0131l\u0131m\u0131n\u0131n<\/a> normal da\u011f\u0131l\u0131ma yakla\u015fabilmesidir.<\/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-48e4c10d6e50ccf813263255b0f774e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Poisson}(\\lambda)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ N\\left(\\lambda, \\sqrt{\\lambda}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"298\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<ul>\n<li> Merkezi limit teoreminin ba\u015fka bir uygulamas\u0131, \u00e7ok say\u0131da g\u00f6zlem i\u00e7eren veri k\u00fcmeleri i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/binom-dagilimi-1\/\">binom da\u011f\u0131l\u0131m\u0131n\u0131n<\/a> normal da\u011f\u0131l\u0131mla yakla\u015f\u0131k olarak tahmin edilebilmesidir. <\/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-647b2adf8f89568d0ec3de652b389ff5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Bin}(n,p)\\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ N\\left(n\\cdot p, \\sqrt{n\\cdot p \\cdot (1-p)}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"398\" style=\"vertical-align: -11px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"distribucion-normal-estandar\"><\/span> Standart normal da\u011f\u0131l\u0131m<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Birim normal da\u011f\u0131l\u0131m<\/strong> olarak da adland\u0131r\u0131lan <strong>standart normal da\u011f\u0131l\u0131m<\/strong> , normal da\u011f\u0131l\u0131m\u0131n en basit halidir. Daha do\u011frusu standart normal da\u011f\u0131l\u0131m, ortalama ve standart sapma de\u011ferleri s\u0131ras\u0131yla 0 ve 1&#8217;e e\u015fit olan bir normal da\u011f\u0131l\u0131md\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-3ca26cb58ac445099df12aeebda27e38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle N(0,1) \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\begin{cases} \\mu=0\\\\[2ex]\\sigma=1\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"247\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Herhangi bir normal da\u011f\u0131l\u0131m\u0131n, her bir de\u011ferden aritmetik ortalamas\u0131n\u0131n \u00e7\u0131kar\u0131lmas\u0131n\u0131 ve ard\u0131ndan standart sapmaya b\u00f6l\u00fcnmesini i\u00e7eren, yazma ad\u0131 verilen bir i\u015flem uygulanarak standart normal da\u011f\u0131l\u0131ma d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilece\u011fini unutmay\u0131n.<\/p>\n<p> Ek olarak standart normal da\u011f\u0131l\u0131m, olas\u0131l\u0131k tablosunu kullanarak normal da\u011f\u0131l\u0131m\u0131n herhangi bir olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r. Dolay\u0131s\u0131yla normal da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in \u00f6nce de\u011fi\u015fkeni standart normal da\u011f\u0131l\u0131ma d\u00f6n\u00fc\u015ft\u00fcrmek \u00fczere giriyoruz ve ard\u0131ndan kar\u015f\u0131l\u0131k gelen olas\u0131l\u0131k de\u011ferinin ne oldu\u011funu g\u00f6rmek i\u00e7in tabloya bak\u0131yoruz. Daha fazlas\u0131n\u0131 \u00f6\u011frenmek i\u00e7in a\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klay\u0131n: <\/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\/normal-standart-dagilim\/\">Standart Normal Da\u011f\u0131l\u0131m<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"la-distribucion-normal-y-la-regla-empirica\"><\/span> Normal da\u011f\u0131l\u0131m ve ampirik kural<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte, <strong>68-95-99,7 kural\u0131<\/strong> olarak da adland\u0131r\u0131lan <strong>temel kural<\/strong> , normal da\u011f\u0131l\u0131mdaki ortalaman\u0131n \u00fc\u00e7 standart sapmas\u0131 dahilinde kalan de\u011ferlerin y\u00fczdesini tan\u0131mlayan bir kurald\u0131r.<\/p>\n<p> Daha spesifik olarak, temel kural a\u015fa\u011f\u0131dakileri belirtir:<\/p>\n<ul>\n<li> Normal da\u011f\u0131l\u0131mdaki de\u011ferlerin %68&#8217;i ortalaman\u0131n bir standart sapmas\u0131 i\u00e7erisinde yer al\u0131r.<\/li>\n<li> Normal da\u011f\u0131l\u0131mdaki de\u011ferlerin %95&#8217;i ortalaman\u0131n iki standart sapmas\u0131 i\u00e7erisinde yer al\u0131r.<\/li>\n<li> Normal da\u011f\u0131l\u0131mdaki de\u011ferlerin %99,7&#8217;si ortalaman\u0131n \u00fc\u00e7 standart sapmas\u0131 dahilindedir. <\/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\/regle-empirique.png\" alt=\"temel kural, normal da\u011f\u0131l\u0131m\" class=\"wp-image-2764\" width=\"530\" height=\"435\" srcset=\"\" sizes=\"auto, \"><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte normal da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece normal da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131, normal da\u011f\u0131l\u0131m \u00f6rneklerini ve normal da\u011f\u0131l\u0131m\u0131n \u00f6zelliklerinin neler oldu\u011funu bulacaks\u0131n\u0131z. Normal da\u011f\u0131l\u0131m nedir? Normal da\u011f\u0131l\u0131m, grafi\u011fi \u00e7an \u015feklinde ve ortalamas\u0131na g\u00f6re simetrik olan s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. \u0130statistikte normal da\u011f\u0131l\u0131m \u00e7ok farkl\u0131 \u00f6zelliklere sahip olgular\u0131 modellemek i\u00e7in kullan\u0131l\u0131r, bu nedenle bu da\u011f\u0131l\u0131m \u00e7ok [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-236","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Normal da\u011f\u0131l\u0131m<\/title>\n<meta name=\"description\" content=\"Burada normal da\u011f\u0131l\u0131m\u0131n ne oldu\u011funu, 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