{"id":332,"date":"2023-08-02T08:49:54","date_gmt":"2023-08-02T08:49:54","guid":{"rendered":"https:\/\/statorials.org\/tr\/kontrol-limitleri\/"},"modified":"2023-08-02T08:49:54","modified_gmt":"2023-08-02T08:49:54","slug":"kontrol-limitleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kontrol-limitleri\/","title":{"rendered":"Kontrol limitleri"},"content":{"rendered":"<p>Bu makalede, kontrol limitinin ne oldu\u011fu ve bir kontrol grafi\u011finin farkl\u0131 kontrol limitlerinin neler oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca kontrol limitlerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve bir prosesin kontrol limitlerinin belirlendi\u011fi \u00e7al\u0131\u015f\u0131lm\u0131\u015f bir \u00f6rne\u011fi de g\u00f6receksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-limites-de-control\"><\/span> Kontrol s\u0131n\u0131rlar\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Kontrol limitleri,<\/strong> bir prosesin kontrol edilip edilmedi\u011fini belirlemek i\u00e7in kullan\u0131lan kontrol grafi\u011findeki yatay \u00e7izgilerdir.<\/p>\n<p> Bir kontrol grafi\u011finin iki kontrol limiti vard\u0131r: s\u0131ras\u0131yla kontrol alan\u0131n\u0131 \u00fcstte ve altta s\u0131n\u0131rlayan \u00fcst ve alt kontrol limitleri.<\/p>\n<p> Yani kontrol limitleri bir s\u00fcrecin kontrol alan\u0131n\u0131 belirtmek i\u00e7in kullan\u0131lan de\u011ferlerdir. Bir prosesten elde edilen \u00f6l\u00e7\u00fcm kontrol limitleri i\u00e7erisinde ise proses kontrol ediliyor demektir. Aksi takdirde makine veya prosesin sapm\u0131\u015f olma ihtimali oldu\u011fundan kontrol edilmesi gerekir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"tipos-de-limites-de-control\"><\/span> Kontrol limiti t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kontrol s\u0131n\u0131rlar\u0131 \u015funlard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00dcst Kontrol Limiti (LCS)<\/strong> : Proseste kabul edilen maksimum de\u011feri g\u00f6steren \u00e7izgidir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Alt Kontrol Limiti (LCI)<\/strong> : S\u00fcre\u00e7te kabul edilen minimum de\u011feri g\u00f6steren \u00e7izgidir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Merkezi kontrol \u00e7izgisi<\/strong> : Grafi\u011fin ortalama de\u011ferini temsil eden \u00e7izgidir. Noktalar bu do\u011fruya ne kadar yak\u0131nsa s\u00fcre\u00e7 o kadar istikrarl\u0131 olur.<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"650\" height=\"328\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/carte-de-controle-carte-de-controle.png\" alt=\"kontrol limitleri\" class=\"wp-image-7233\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-los-limites-de-control\"><\/span> Kontrol Limitleri Nas\u0131l Hesaplan\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> G\u00fcn\u00fcm\u00fczde bir prosesin kontrol limitleri genellikle prosesin kontrol edilmesini sa\u011flayan bilgisayar yaz\u0131l\u0131mlar\u0131 ile hesaplanmaktad\u0131r. Ancak, bunlar\u0131 manuel olarak bulman\u0131z gerekebilece\u011finden bunlar\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 bilmeniz de \u00f6nemlidir.<\/p>\n<p> Bir kontrol grafi\u011finin kontrol limitlerinin hesaplanmas\u0131, yapmak istedi\u011finiz grafi\u011fin t\u00fcr\u00fcne ba\u011fl\u0131d\u0131r \u00e7\u00fcnk\u00fc de\u011ferler, bunun ortalama veya aral\u0131k i\u00e7in bir kontrol grafi\u011fi olmas\u0131na ba\u011fl\u0131 olarak de\u011fi\u015fecektir.<\/p>\n<p> <strong>Ortalama kontrol grafi\u011fi,<\/strong> bir s\u00fcrecin ortalamas\u0131n\u0131n geli\u015fiminin de\u011ferlendirildi\u011fi bir grafiktir. Dolay\u0131s\u0131yla, bir dizi de\u011ferin ortalamas\u0131 a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak hesaplan\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-4912731aa4c9d00f8aaa874947c49045_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}=\\cfrac{\\displaystyle \\sum_{i=1}^n x_i}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"90\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\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-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> \u00f6l\u00e7\u00fc numaras\u0131 i&#8217;dir.<\/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-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> al\u0131nan \u00f6l\u00e7\u00fcmlerin say\u0131s\u0131d\u0131r.<\/li>\n<\/ul>\n<p> Ortalama i\u00e7in kontrol grafi\u011finin merkezi de\u011ferini \u015fu \u015fekilde belirleyece\u011fiz:<\/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-9a4b871b1b19f0ec03c16689c692f8e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{\\overline{X}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"17\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklerin ortalamas\u0131 olan ve a\u015fa\u011f\u0131daki ifadeyle hesaplan\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-9f1ba7db9f340b44bdc7fedb2371db5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{\\overline{X}}=\\cfrac{\\displaystyle \\sum_{j=1}^m {\\overline{X}_j}}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"97\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\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-b802d1ec4d549b48ccf830051d7b3b5b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{X}_j\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"22\" style=\"vertical-align: -6px;\"><\/p>\n<p> j \u00f6rne\u011finin ortalamas\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-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> al\u0131nan numunelerin say\u0131s\u0131d\u0131r. <\/li>\n<\/ul>\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\/aritmetik-ortalama\/\">Aritmetik ortalaman\u0131n hesaplanmas\u0131<\/a><\/div>\n<p> Buna kar\u015f\u0131l\u0131k, <strong>kapsam kontrol tablosunun<\/strong> merkezi de\u011feri, al\u0131nan t\u00fcm numunelerin kapsamlar\u0131n\u0131n ortalamas\u0131d\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-8509192f73750fcb91349b1c470f2d31_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{R}=\\cfrac{\\displaystyle \\sum_{j=1}^m R_j}{m}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"92\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\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-ae43a1bfb7564b1b120c1383a4feaef8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R_j\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"19\" style=\"vertical-align: -6px;\"><\/p>\n<p> j \u00f6rne\u011finin aral\u0131\u011f\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-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> al\u0131nan numunelerin say\u0131s\u0131d\u0131r. <\/li>\n<\/ul>\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\/istatistiksel-aralik\/\">\u0130statistiksel aral\u0131\u011f\u0131n hesaplanmas\u0131<\/a><\/div>\n<p> Dolay\u0131s\u0131yla bir kontrol grafi\u011finin <strong>kontrol limitlerini hesaplamaya y\u00f6nelik form\u00fcller<\/strong> a\u015fa\u011f\u0131daki gibidir: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-3 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-vertically-aligned-top is-layout-flow wp-block-column-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff8a05\"> <strong>kontrol kart\u0131<\/strong> <\/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-fea27f2cb07784e5d8f7e128a010a02c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}LCS=\\overline{\\overline{X}}+A_2\\cdot \\overline{R}\\\\[3ex]LCI=\\overline{\\overline{X}}-A_2\\cdot \\overline{R}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"147\" style=\"vertical-align: 0px;\"><\/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 has-text-color has-medium-font-size\" style=\"color:#ff8a05\"> <strong>R kontrol kart\u0131<\/strong><\/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-5d3cf71032f18cd8710d9a2165d8daac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}LCS=D_4\\cdot \\overline{R}\\\\[3ex]LCI=D_3\\cdot\\overline{R}\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"111\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> A <sub>2<\/sub> , D <sub>3<\/sub> ve D <sub>4<\/sub> parametrelerinin de\u011ferleri a\u015fa\u011f\u0131daki tabloda bulunur: <\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th class=\"has-text-align-center\" data-align=\"center\"> Boyut (no.)<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> <sub>2&#8217;de<\/sub><\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> <sub>3.<\/sub> G\u00fcn<\/th>\n<th> <sub>J4<\/sub><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.880<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,000<\/td>\n<td> 3.267<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1.023<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,000<\/td>\n<td> 2.575<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,729<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,000<\/td>\n<td> 2.282<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,577<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,000<\/td>\n<td> 2.115<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,483<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,000<\/td>\n<td> 2004<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 7<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,419<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,076<\/td>\n<td> 1.924<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 8<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,373<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,136<\/td>\n<td> 1.864<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 9<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,337<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,184<\/td>\n<td> 1.816<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> on<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,308<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 0,223<\/td>\n<td> 1.777 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-limites-de-control\"><\/span> Kontrol limitlerinin hesaplanmas\u0131na \u00f6rnek<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir sanayi \u015firketi, \u00fcretim s\u00fcrecinin kontrol alt\u0131nda olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in bir silindirin \u00e7ap\u0131n\u0131n \u00f6l\u00e7\u00fcm\u00fcn\u00fc kontrol etmek istiyor. Bunu yapmak i\u00e7in her 15 dakikada bir 5 silindirden numune al\u0131n ve \u00e7aplar\u0131n\u0131 \u00f6l\u00e7\u00fcn. A\u015fa\u011f\u0131daki tabloda \u00f6l\u00e7\u00fcm kayd\u0131 g\u00f6sterilmektedir. <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"500\" height=\"792\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-donnees-de-carte-de-controle-.png\" alt=\"kontrol grafi\u011fi veri \u00f6rne\u011fi\" class=\"wp-image-7247\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Kontrol limitlerini bulmak i\u00e7in \u00f6ncelikle her \u00f6l\u00e7\u00fcm grubunun aritmetik ortalamas\u0131n\u0131 ve aral\u0131\u011f\u0131n\u0131 almal\u0131y\u0131z: <\/p>\n<figure class=\"wp-block-image aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"665\" height=\"792\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-de-calculs-de-carte-de-controle.png\" alt=\"kontrol grafi\u011fi hesaplamalar\u0131na \u00f6rnekler\" class=\"wp-image-7248\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u015eimdi s\u0131ras\u0131yla ortalama ve aral\u0131k i\u00e7in kontrol grafi\u011finin merkezi de\u011ferleri olacak ortalama ve aral\u0131klar\u0131n ortalamas\u0131n\u0131 hesaplayal\u0131m:<\/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-bb065f802bb00dbf7fe6791ca3d220a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{\\overline{X}}=\\cfrac{\\displaystyle \\sum_{j=1}^m {\\overline{X}_j}}{m}=4,8589\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"173\" style=\"vertical-align: -12px;\"><\/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-d03ee6b8414e1035c986ed2718d0056a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{R}=\\cfrac{\\displaystyle \\sum_{j=1}^m R_j}{m}=0,0227\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"168\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu durumda her numune 5 \u00f6l\u00e7\u00fcmden olu\u015fur, dolay\u0131s\u0131yla kontrol limit form\u00fcllerinin katsay\u0131lar\u0131 a\u015fa\u011f\u0131daki gibidir: <\/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-109da007c475699c5c68735d76ffba2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_2=0,577\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"88\" style=\"vertical-align: -4px;\"><\/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-b6c2ba8434d4660729a13e8bd0a92a41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D_3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"55\" style=\"vertical-align: -3px;\"><\/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-540cb48c507e89bef05b41af89e053ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D_4=2,115\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"89\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Ortalama ve geni\u015fletilmi\u015f kontrol grafi\u011finin \u00fcst ve alt kontrol limitlerini hesapl\u0131yoruz:<\/p>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff8a05\"> <strong>Kontrol Grafi\u011fi Kontrol Limitleri<\/strong> <\/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-c36f6b368a9a737de0ad139fd3a3953c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}LCS=\\overline{\\overline{X}}+A_2\\cdot \\overline{R}=4,8589+0,577\\cdot 0,0227=4,8720\\\\[3ex]LCI=\\overline{\\overline{X}}-A_2\\cdot \\overline{R}=4,8589-0,577\\cdot 0,0227=4,8458\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"72\" width=\"429\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff8a05\"> <strong style=\"font-weight: bold;\">Kontrol limitleri<\/strong><span><strong style=\"font-weight: bold;\"> <\/strong><\/span><strong>R kontrol kart\u0131<\/strong><\/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-4f60f6739025a68d8e145d789bf3edea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}LCS=D_4\\cdot \\overline{R}=2,115\\cdot 0,0227=0,0481\\\\[3ex]LCI=D_3\\cdot\\overline{R}=0\\cdot 0,0227=0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"318\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu nedenle egzersiz kontrol kartlar\u0131 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\/exemple-carte-de-controle-moyenne.png\" alt=\"kontrol limitlerinin hesaplanmas\u0131 \u00f6rne\u011fi\" class=\"wp-image-7335\" width=\"508\" height=\"306\" srcset=\"\" sizes=\"auto, \"><\/figure>\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\/exemple-tableau-de-plage-de-controle.png\" alt=\"kontrol limitlerine \u00f6rnek\" class=\"wp-image-7336\" width=\"508\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u0130lk kontrol grafi\u011finde iki de\u011ferin alt kontrol limitinden k\u00fc\u00e7\u00fck oldu\u011funu g\u00f6rebiliyoruz. Ayr\u0131ca ikinci kontrol grafi\u011finde de \u00fcst kontrol limitinin \u00fczerinde bir de\u011fer bulunmaktad\u0131r. Bu nedenle s\u00fcre\u00e7 kontrol edilmez.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede, kontrol limitinin ne oldu\u011fu ve bir kontrol grafi\u011finin farkl\u0131 kontrol limitlerinin neler oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. Ayr\u0131ca kontrol limitlerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve bir prosesin kontrol limitlerinin belirlendi\u011fi \u00e7al\u0131\u015f\u0131lm\u0131\u015f bir \u00f6rne\u011fi de g\u00f6receksiniz. Kontrol s\u0131n\u0131rlar\u0131 nedir? Kontrol limitleri, bir prosesin kontrol edilip edilmedi\u011fini belirlemek i\u00e7in kullan\u0131lan kontrol grafi\u011findeki yatay \u00e7izgilerdir. Bir kontrol grafi\u011finin iki kontrol limiti [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-332","post","type-post","status-publish","format-standard","hentry","category-kalite-yonetimi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Kontrol limitleri<\/title>\n<meta name=\"description\" content=\"Burada bir kontrol grafi\u011finin kontrol limitlerinin ne oldu\u011funu, kontrol limitlerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve somut bir \u00f6rnek 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\" href=\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Kontrol limitleri\" \/>\n<meta property=\"og:description\" content=\"Burada bir kontrol grafi\u011finin kontrol limitlerinin ne oldu\u011funu, kontrol limitlerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve somut bir \u00f6rnek bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-02T08:49:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/carte-de-controle-carte-de-controle.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/\",\"url\":\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/\",\"name\":\"\u25b7 Kontrol limitleri\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-02T08:49:54+00:00\",\"dateModified\":\"2023-08-02T08:49:54+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada bir kontrol grafi\u011finin kontrol limitlerinin ne oldu\u011funu, kontrol limitlerinin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve somut bir \u00f6rnek bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/kontrol-limitleri\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kontrol limitleri\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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