{"id":3142,"date":"2023-07-19T00:25:25","date_gmt":"2023-07-19T00:25:25","guid":{"rendered":"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/"},"modified":"2023-07-19T00:25:25","modified_gmt":"2023-07-19T00:25:25","slug":"krzywa-lorenza-w-excelu","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/","title":{"rendered":"Jak utworzy\u0107 krzyw\u0105 lorenza w programie excel (z przyk\u0142adem)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Nazwana na cze\u015b\u0107 ameryka\u0144skiego ekonomisty <a href=\"https:\/\/en.wikipedia.org\/wiki\/Max_O._Lorenz\" target=\"_blank\" rel=\"noopener\">Maxa Lorenza<\/a> , <strong>krzywa Lorenza<\/strong> jest sposobem na wizualizacj\u0119 rozk\u0142adu dochod\u00f3w populacji.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku przedstawiono krok po kroku przyk\u0142ad tworzenia nast\u0119puj\u0105cej krzywej Lorenza w programie Excel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-26743\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz8.jpg\" alt=\"Krzywa Lorenza w Excelu\" width=\"573\" height=\"441\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Chod\u017amy!<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 1: Wprowad\u017a dane<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Najpierw musimy wprowadzi\u0107 warto\u015bci dla dw\u00f3ch kolumn: skumulowanej populacji i skumulowanego dochodu os\u00f3b w danym kraju:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26726 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/giniexcel1.jpg\" alt=\"\" width=\"470\" height=\"462\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Oto jak interpretowa\u0107 warto\u015bci:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">20% najubo\u017cszych mieszka\u0144c\u00f3w tego kraju generuje <strong>10%<\/strong> ca\u0142kowitego dochodu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Najbiedniejsze 50% os\u00f3b w tym kraju generuje <strong>31%<\/strong> ca\u0142kowitego dochodu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Najbiedniejsze 60% os\u00f3b w tym kraju generuje <strong>40%<\/strong> ca\u0142kowitego dochodu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">100% os\u00f3b w tym kraju generuje <strong>100%<\/strong> ca\u0142kowitego dochodu.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie wpiszemy warto\u015bci (x, y) dla prostej r\u00f3wno\u015bci, kt\u00f3r\u0105 ostatecznie dodamy do wykresu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26736 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenze1.jpg\" alt=\"\" width=\"506\" height=\"464\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 2: Utw\u00f3rz podstawow\u0105 krzyw\u0105 Lorenza<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie zaznacz warto\u015bci w kom\u00f3rkach <strong>A2:B6<\/strong> , nast\u0119pnie kliknij zak\u0142adk\u0119 <strong>Wstaw<\/strong> na g\u00f3rnej wst\u0105\u017cce, a nast\u0119pnie kliknij opcj\u0119 <strong>Rozpraszaj g\u0142adkimi liniami<\/strong> w grupie <strong>Wykresy<\/strong> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26737 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz2.jpg\" alt=\"\" width=\"498\" height=\"317\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Automatycznie zostanie utworzony nast\u0119puj\u0105cy wykres:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26738 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz3.jpg\" alt=\"\" width=\"508\" height=\"378\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Nast\u0119pnie kliknij prawym przyciskiem myszy w dowolnym miejscu wykresu i kliknij opcj\u0119 <strong>Wybierz dane<\/strong> .<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">W wy\u015bwietlonym oknie kliknij opcj\u0119 <strong>Dodaj<\/strong> w <strong>obszarze Wpisy legendy<\/strong> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26739 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz4.jpg\" alt=\"\" width=\"579\" height=\"367\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Kliknij przycisk <strong>Dodaj<\/strong> , a nast\u0119pnie wprowad\u017a nast\u0119puj\u0105ce informacje:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26740 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz5.jpg\" alt=\"\" width=\"365\" height=\"484\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Po klikni\u0119ciu <strong>OK<\/strong> do wykresu zostanie automatycznie dodana uko\u015bna linia r\u00f3wno\u015bci:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26741 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz6.jpg\" alt=\"\" width=\"477\" height=\"343\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podstawowa krzywa Lorenza jest gotowa. Niebieska linia przedstawia krzyw\u0105 Lorenza, a pomara\u0144czowa linia przedstawia lini\u0119 r\u00f3wno\u015bci.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 3: Dostosuj krzyw\u0105 Lorenza<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Wreszcie mo\u017cemy dostosowa\u0107 wygl\u0105d wykresu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kliknij zielony znak plus ( <strong>+<\/strong> ) w prawym g\u00f3rnym rogu wykresu, nast\u0119pnie kliknij <strong>Legenda<\/strong> , a nast\u0119pnie kliknij <strong>D\u00f3\u0142<\/strong> :<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26742 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz7.jpg\" alt=\"\" width=\"454\" height=\"420\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Na dole wykresu zostanie dodana legenda.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie kliknij linie siatki wykresu i usu\u0144 je.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie kliknij ka\u017cdy wiersz i zmie\u0144 kolor wed\u0142ug potrzeb.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie dodaj tytu\u0142 osi do osi X i Y.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Efekt ko\u0144cowy b\u0119dzie wygl\u0105da\u0142 nast\u0119puj\u0105co:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-26743\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz8.jpg\" alt=\"Krzywa Lorenza w Excelu\" width=\"573\" height=\"441\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Powi\u0105zane:<\/strong> <a href=\"https:\/\/statorials.org\/pl\/wspo\u0142czynnik-giniego-w-excelu\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 wsp\u00f3\u0142czynnik Giniego w programie Excel<\/a><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nazwana na cze\u015b\u0107 ameryka\u0144skiego ekonomisty Maxa Lorenza , krzywa Lorenza jest sposobem na wizualizacj\u0119 rozk\u0142adu dochod\u00f3w populacji. W tym samouczku przedstawiono krok po kroku przyk\u0142ad tworzenia nast\u0119puj\u0105cej krzywej Lorenza w programie Excel: Chod\u017amy! Krok 1: Wprowad\u017a dane Najpierw musimy wprowadzi\u0107 warto\u015bci dla dw\u00f3ch kolumn: skumulowanej populacji i skumulowanego dochodu os\u00f3b w danym kraju: Oto jak [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3142","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak utworzy\u0107 krzyw\u0105 Lorenza w programie Excel (z przyk\u0142adem) - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak utworzy\u0107 krzyw\u0105 Lorenza w programie Excel, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\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\/pl\/krzywa-lorenza-w-excelu\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak utworzy\u0107 krzyw\u0105 Lorenza w programie Excel (z przyk\u0142adem) - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak utworzy\u0107 krzyw\u0105 Lorenza w programie Excel, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T00:25:25+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lorenz8.jpg\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/\",\"url\":\"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/\",\"name\":\"Jak utworzy\u0107 krzyw\u0105 Lorenza w programie Excel (z przyk\u0142adem) - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-19T00:25:25+00:00\",\"dateModified\":\"2023-07-19T00:25:25+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak utworzy\u0107 krzyw\u0105 Lorenza w programie Excel, podaj\u0105c pe\u0142ny przyk\u0142ad.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/krzywa-lorenza-w-excelu\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak utworzy\u0107 krzyw\u0105 lorenza w programie excel (z przyk\u0142adem)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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