{"id":409,"date":"2023-07-30T10:42:42","date_gmt":"2023-07-30T10:42:42","guid":{"rendered":"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/"},"modified":"2023-07-30T10:42:42","modified_gmt":"2023-07-30T10:42:42","slug":"schematy-lodyg-i-lisci","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/","title":{"rendered":"Wykresy \u0142odyg i li\u015bci: definicja i przyk\u0142ady"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Wykres \u0142odygi i li\u015bcia<\/strong> wy\u015bwietla dane poprzez podzielenie ka\u017cdej warto\u015bci w zestawie danych na \u201e\u0142odyg\u0119\u201d i \u201eli\u015b\u0107\u201d.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak tworzy\u0107 i interpretowa\u0107 wykresy \u0142odyg i li\u015bci.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Jak utworzy\u0107 wykres \u0142odygi i li\u015bci<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze dwa przyk\u0142ady ilustruj\u0105 spos\u00f3b tworzenia od podstaw wykresu \u0142odyg i li\u015bci dla danego zestawu danych.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Przyk\u0142ad 1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce mamy nast\u0119puj\u0105cy zbi\u00f3r danych:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">12, 14, 18, 22, 22, 23, 25, 25, 28, 45, 47, 48<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tak wygl\u0105da zarys \u0142odyg i li\u015bci:<\/span><\/p>\n<p> <span style=\"color: #000000;\">1 | 2 4 8<\/span><br \/> <span style=\"color: #000000;\">2 | 2 2 3 5 5 8<\/span><br \/> <span style=\"color: #000000;\">3 |<\/span><br \/> <span style=\"color: #000000;\">4 | 5 7 8<\/span><\/p>\n<p> <span style=\"color: #000000;\">A oto jak to zrobi\u0107:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 1:<\/strong> <strong>Podziel ka\u017cd\u0105 warto\u015b\u0107 w zbiorze danych na \u201e\u0142odyg\u0119\u201d i \u201eli\u015b\u0107\u201d.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>\u201eRdze\u0144\u201d<\/strong><\/span> ka\u017cdej warto\u015bci to pierwsza cyfra:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>1<\/strong><\/span> 2, <span style=\"color: #008080;\"><strong>1<\/strong><\/span> 4, <span style=\"color: #008080;\"><strong>1<\/strong><\/span> 8, <span style=\"color: #008080;\"><strong>2<\/strong><\/span> 2, 2 2, 2 3, <span style=\"color: #008080;\"><strong>2<\/strong><\/span> <span style=\"color: #008080;\"><strong>5, 2 5, 2 8, 4<\/strong><\/span> <span style=\"color: #008080;\"><strong>5<\/strong><\/span> <span style=\"color: #008080;\"><strong>,<\/strong><\/span> <span style=\"color: #008080;\"><strong>4<\/strong><\/span> <span style=\"color: #008080;\"><strong>7<\/strong><\/span> <span style=\"color: #008080;\"><strong>,<\/strong><\/span> <span style=\"color: #008080;\"><strong>4<\/strong><\/span> 8<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #ff0000;\"><strong>\u201eLi\u015bci\u0105\u201d<\/strong><\/span> ka\u017cdej warto\u015bci jest druga cyfra:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">1 <strong><span style=\"color: #ff0000;\">2<\/span><\/strong> , 1 <strong><span style=\"color: #ff0000;\">4<\/span><\/strong> , 1 <span style=\"color: #ff0000;\"><strong>8<\/strong><\/span> , 2 <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span> , 2 2, 2 3, 2 <strong><span style=\"color: #ff0000;\">5<\/span><\/strong> , 2 <strong><span style=\"color: #ff0000;\">5<\/span><\/strong> , 2 <strong><span style=\"color: #ff0000;\">8<\/span><\/strong> , 4 <strong><span style=\"color: #ff0000;\">5<\/span><\/strong> , <span style=\"color: #ff0000;\"><strong>4 7<\/strong><\/span> <span style=\"color: #ff0000;\"><strong>,<\/strong><\/span> <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span> <strong><span style=\"color: #ff0000;\">8<\/span><\/strong><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Krok 2: Aby wykona\u0107 uk\u0142ad, umie\u015b\u0107 \u201e\u0142odygi\u201d wzd\u0142u\u017c osi pionowej, a \u201eli\u015bcie\u201d wzd\u0142u\u017c osi poziomej:<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">1<\/span><\/strong> | <strong><span style=\"color: #ff0000;\">2 4 8<\/span><\/strong><\/span><br \/> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>2<\/strong><\/span> | <strong><span style=\"color: #ff0000;\">2 2 3 5 5 8<\/span><\/strong><\/span><br \/> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>3<\/strong><\/span> |<\/span><br \/> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>4<\/strong><\/span> | <strong><span style=\"color: #ff0000;\">5 7 8<\/span><\/strong><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Przyk\u0142ad 2<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce mamy nast\u0119puj\u0105cy zbi\u00f3r danych:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">134, 156, 158, 159, 160, 162, 164<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tak wygl\u0105da zarys \u0142odyg i li\u015bci:<\/span><\/p>\n<p> <span style=\"color: #000000;\">13 | 4<br \/> 14 |<br \/><\/span> <span style=\"color: #000000;\">15 | 6 8 9<\/span><br \/> <span style=\"color: #000000;\">16 | 0 2 4<\/span><\/p>\n<p> <span style=\"color: #000000;\">A oto jak to zrobi\u0107:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Krok 1:<\/strong> <strong>Podziel ka\u017cd\u0105 warto\u015b\u0107 w zbiorze danych na \u201e\u0142odyg\u0119\u201d i \u201eli\u015b\u0107\u201d.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym przypadku, poniewa\u017c warto\u015bci w tym zestawie danych maj\u0105 trzy cyfry, <span style=\"color: #008080;\"><strong>\u201erdze\u0144\u201d<\/strong><\/span> ka\u017cdej warto\u015bci to pierwsze dwie cyfry:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>13<\/strong><\/span> 4, <span style=\"color: #008080;\"><strong>15<\/strong><\/span> 6, <strong><span style=\"color: #008080;\">15<\/span><\/strong> 8, <strong><span style=\"color: #008080;\">15<\/span><\/strong> 9, <strong><span style=\"color: #008080;\">16<\/span><\/strong> 0, <strong><span style=\"color: #008080;\">16<\/span><\/strong> 2, <strong><span style=\"color: #008080;\">16<\/span><\/strong> 4<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #ff0000;\"><strong>\u201eLi\u015bci\u0105\u201d<\/strong><\/span> ka\u017cdej warto\u015bci jest ostatnia cyfra:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">13 <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span> , 15 <strong><span style=\"color: #ff0000;\">6<\/span><\/strong> , 15 <strong><span style=\"color: #ff0000;\">8<\/span><\/strong> , 15 <span style=\"color: #ff0000;\"><strong>9<\/strong><\/span> , 16 <span style=\"color: #ff0000;\"><strong>0<\/strong><\/span> , 16 <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span> , 16 <strong><span style=\"color: #ff0000;\">4<\/span><\/strong><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Krok 2: Aby wykona\u0107 uk\u0142ad, umie\u015b\u0107 \u201e\u0142odygi\u201d wzd\u0142u\u017c osi pionowej, a \u201eli\u015bcie\u201d wzd\u0142u\u017c osi poziomej:<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>13<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span><br \/> <span style=\"color: #008080;\"><strong>14<\/strong><\/span> |<br \/><\/span> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>15<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>6 8 9<\/strong><\/span><\/span><br \/> <span style=\"color: #000000;\"><span style=\"color: #008080;\"><strong>16<\/strong><\/span> | <span style=\"color: #ff0000;\"><strong>0 2 4<\/strong><\/span><\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Jak interpretowa\u0107 wykres \u0142odygi i li\u015bci<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce mamy nast\u0119puj\u0105cy diagram \u0142odyg i li\u015bci, kt\u00f3ry pokazuje liczb\u0119 ro\u017ck\u00f3w lodowych, kt\u00f3re Mary sprzeda\u0142a w swojej lodziarni w ka\u017cdym z ostatnich 14 dni:<\/span><\/p>\n<p> <span style=\"color: #000000;\">7 | 3 3 3 7 9<\/span><br \/> <span style=\"color: #000000;\">8 | 4 5 8 8<\/span><br \/> <span style=\"color: #000000;\">9 | 1 2 5 8 9<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>Pytanie:<\/em><\/strong> <em>Ile najwi\u0119cej sprzedano ro\u017ck\u00f3w maryjnych w danym dniu?<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Odpowied\u017a: 99 szyszek<\/span><\/p>\n<p> <span style=\"color: #000000;\">7 | 3 3 3 7 9<\/span><br \/> <span style=\"color: #000000;\">8 | 4 5 8 8<\/span><br \/> <span style=\"color: #000000;\"><strong>9<\/strong> | 1 2 5 8 <strong>9<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>Pytanie:<\/em><\/strong> <em>W ci\u0105gu ilu dni Maria sprzeda\u0142a ponad 80 szyszek?<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Odpowied\u017a: dziewi\u0119\u0107 dni<\/span><\/p>\n<p> <span style=\"color: #000000;\">7 | 3 3 3 7 9<\/span><br \/> <span style=\"color: #000000;\"><strong>8<\/strong> | <strong>4 5 8 8<\/strong><\/span><br \/> <span style=\"color: #000000;\"><strong>9<\/strong> | <strong>1 2 5 8 9<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">(w ci\u0105gu tych dziewi\u0119ciu dni sprzeda\u0142a 84, 85, 88, 88, 91, 92, 95, 98 i 99 ro\u017ck\u00f3w)<\/span><\/p>\n<h3> <strong>Dodatkowe zasoby<\/strong><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pl\/generator-diagramow-\u0142odyg-i-lisci\/\" target=\"_blank\" rel=\"noopener noreferrer\">Generator wykres\u00f3w \u0142odyg i li\u015bci<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/schematy-\u0142odyg-i-lisci-odwrocone-do-ty\u0142u\/\">Wprowadzenie do wykres\u00f3w r\u00f3wnoleg\u0142ych do \u0142odyg i li\u015bci<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/dzia\u0142ka-\u0142odyg-i-lisci-jest-doskona\u0142a\/\" target=\"_blank\" rel=\"noopener noreferrer\">Jak utworzy\u0107 wykres \u0142odygi i li\u015bci w programie Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/pyton-\u0142odygowy-i-lisciowy\/\">Jak utworzy\u0107 wykres \u0142odygi i li\u015bci w Pythonie<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wykres \u0142odygi i li\u015bcia wy\u015bwietla dane poprzez podzielenie ka\u017cdej warto\u015bci w zestawie danych na \u201e\u0142odyg\u0119\u201d i \u201eli\u015b\u0107\u201d. W tym samouczku wyja\u015bniono, jak tworzy\u0107 i interpretowa\u0107 wykresy \u0142odyg i li\u015bci. Jak utworzy\u0107 wykres \u0142odygi i li\u015bci Poni\u017csze dwa przyk\u0142ady ilustruj\u0105 spos\u00f3b tworzenia od podstaw wykresu \u0142odyg i li\u015bci dla danego zestawu danych. Przyk\u0142ad 1 Za\u0142\u00f3\u017cmy, \u017ce [&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-409","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>Wykresy \u0142odyg i li\u015bci: definicja i przyk\u0142ady - Statoriale<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie wykres\u00f3w \u0142odyg i li\u015bci, w tym definicja i kilka przyk\u0142ad\u00f3w.\" \/>\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\/schematy-lodyg-i-lisci\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Wykresy \u0142odyg i li\u015bci: definicja i przyk\u0142ady - Statoriale\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie wykres\u00f3w \u0142odyg i li\u015bci, w tym definicja i kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-30T10:42:42+00:00\" \/>\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\/schematy-lodyg-i-lisci\/\",\"url\":\"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/\",\"name\":\"Wykresy \u0142odyg i li\u015bci: definicja i przyk\u0142ady - Statoriale\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-30T10:42:42+00:00\",\"dateModified\":\"2023-07-30T10:42:42+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie wykres\u00f3w \u0142odyg i li\u015bci, w tym definicja i kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/schematy-lodyg-i-lisci\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Wykresy \u0142odyg i li\u015bci: definicja i przyk\u0142ady\"}]},{\"@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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