{"id":206,"date":"2023-08-04T04:46:28","date_gmt":"2023-08-04T04:46:28","guid":{"rendered":"https:\/\/statorials.org\/pl\/ograniczenia-klasowe\/"},"modified":"2023-08-04T04:46:28","modified_gmt":"2023-08-04T04:46:28","slug":"ograniczenia-klasowe","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/ograniczenia-klasowe\/","title":{"rendered":"Granice klas"},"content":{"rendered":"<p>W tym artykule wyja\u015bniono, czym jest limit klasy w statystykach. W ten spos\u00f3b znajdziesz definicj\u0119 granicy klasy, kilka przyk\u0142ad\u00f3w oraz zwi\u0105zek pomi\u0119dzy granicami klas a innymi charakterystykami przedzia\u0142\u00f3w. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-limites-de-clase\"><\/span> Jakie s\u0105 granice klas?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> W statystyce <strong>limity klas<\/strong> to warto\u015bci wyznaczaj\u0105ce przedzia\u0142. Innymi s\u0142owy, granice klasy wskazuj\u0105 warto\u015bci nale\u017c\u0105ce do tej klasy lub przedzia\u0142u.<\/p>\n<p> Istniej\u0105 dwie granice klasy: <strong>dolna granica klasy<\/strong> , kt\u00f3ra oznacza minimaln\u0105 warto\u015b\u0107 klasy i <strong>g\u00f3rna granica klasy<\/strong> , kt\u00f3ra wskazuje maksymaln\u0105 warto\u015b\u0107 klasy.<\/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-2ad81f87b188807f8f442b9885cc9b39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"[50,60) \\quad\\color{orange}\\bm{\\longrightarrow}\\color{black}\\quad \\begin{cases}\\text{L\\'imite inferior}=50 \\\\[2ex]\\text{L\\'imite superior}=60\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"396\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Generalnie dolna granica klasy mie\u015bci si\u0119 w przedziale, natomiast g\u00f3rna granica nie nale\u017cy do tego przedzia\u0142u. Dlatego te\u017c przy dolnej granicy umieszcza si\u0119 nawias \u201e[\u201d, a przy g\u00f3rnej granicy nawias \u201e)\u201d. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"limites-de-clase-y-ancho-de-clase\"><\/span> Granice klas i szeroko\u015b\u0107 klas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Szeroko\u015b\u0107 klasy<\/strong> , zwana tak\u017ce <strong>szeroko\u015bci\u0105 klasy<\/strong> , jest obliczana na podstawie granic klas. Dok\u0142adniej, szeroko\u015b\u0107 klasy jest r\u00f3wna r\u00f3\u017cnicy mi\u0119dzy g\u00f3rn\u0105 a doln\u0105 granic\u0105 klasy.<\/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-c2b1a3e2c3cf06bf06821149808dabb2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=L_s-L_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"95\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<p> Z\u0142oto<\/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-816b613a4f79d4bf9cb51396a9654120_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> jest szeroko\u015bci\u0105 klasy,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1357f132e063114953bdc95ed56fa067_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L_s\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> jest g\u00f3rn\u0105 granic\u0105 klasy i<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ddf8321e441f6db438054458e29d97e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> jest doln\u0105 granic\u0105 klasy.<\/p>\n<p> Przyk\u0142adowo szeroko\u015b\u0107 klasy [60,80) uzyskuje si\u0119 odejmuj\u0105c dwie granice przedzia\u0142u: <\/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-23b138ff6b18528f432821fb75ef8643_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=80-60=20\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"136\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"limites-de-clase-y-marca-de-clase\"><\/span> Granice klas i znak klasy<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Ocena klasy<\/strong> to \u015brodek klasy, zatem ocen\u0119 klasy oblicza si\u0119 poprzez dodanie dw\u00f3ch granic klas, a nast\u0119pnie podzielenie przez dwa:<\/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-4dc24dfbe8f96dbbad7be685662aedb5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c=\\cfrac{L_i+L_s}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"92\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Z\u0142oto<\/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-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> To oznaka klasy,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ddf8321e441f6db438054458e29d97e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> jest doln\u0105 granic\u0105 klasy i<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1357f132e063114953bdc95ed56fa067_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"L_s\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> jest g\u00f3rn\u0105 granic\u0105 klasy.<\/p>\n<p> Wzorem poprzedniego przyk\u0142adu wynik klasowy przedzia\u0142u [60,80) sa oblicza si\u0119 w nast\u0119puj\u0105cy spos\u00f3b:<\/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-dfbf4758e00e50f75fb8bbd477413340_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c=\\cfrac{60+80}{2}=70\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"132\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>W tym artykule wyja\u015bniono, czym jest limit klasy w statystykach. W ten spos\u00f3b znajdziesz definicj\u0119 granicy klasy, kilka przyk\u0142ad\u00f3w oraz zwi\u0105zek pomi\u0119dzy granicami klas a innymi charakterystykami przedzia\u0142\u00f3w. Jakie s\u0105 granice klas? W statystyce limity klas to warto\u015bci wyznaczaj\u0105ce przedzia\u0142. Innymi s\u0142owy, granice klasy wskazuj\u0105 warto\u015bci nale\u017c\u0105ce do tej klasy lub przedzia\u0142u. Istniej\u0105 dwie granice [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-206","post","type-post","status-publish","format-standard","hentry","category-statystyka"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Jakie s\u0105 granice klas? 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