{"id":34933,"date":"2023-01-23T17:12:14","date_gmt":"2023-01-23T16:12:14","guid":{"rendered":"https:\/\/www.valcon.it\/math\/?p=34933"},"modified":"2024-07-24T11:27:33","modified_gmt":"2024-07-24T09:27:33","slug":"quesiti-media-pesata","status":"publish","type":"post","link":"https:\/\/www.valcon.it\/pp\/quesiti-media-pesata\/","title":{"rendered":"QUESITI sulla Media pesata"},"content":{"rendered":"\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.valcon.it\/pp\/invalsi\/\">INVALSI<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.valcon.it\/pp\/ops\/\">O.I.S.<\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">INVALSI V \u2013 Esempio 1-2-3-4<\/h2>\n\n\n\n<p>Ogni esame universitario ha un <em>peso<\/em> dato dal numero di CFU (crediti formativi universitari).<br>La media pesata dei voti degli esami sostenuti si calcola nel modo seguente:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>si moltiplica il voto di ciascun esame per il relativo numero di CFU<\/li>\n\n\n\n<li>si sommano tutti i prodotti cos\u00ec ottenuti<\/li>\n\n\n\n<li>si divide il risultato per il numero totale di CFU<\/li>\n<\/ul>\n\n\n\n<p>Nella seguente tabella sono riportati i voti dei primi tre esami sostenuti da Giovanna.<\/p>\n\n\n\n<p><kbd>+---------+------+-----+<br>|&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; | Voto | CFU |<br>+---------+------+-----+<br>| Esame 1 | &nbsp; 25 |&nbsp; 12 |<br>| Esame 2 | &nbsp; 20 | &nbsp; 6 |<br>| Esame 3 | &nbsp; 23 | &nbsp; 3 |<br>| Esame 4 | &nbsp;&nbsp; ? |&nbsp; 12 |<br>+---------+------+-----+<\/kbd><\/p>\n\n\n\n<p>Quale voto deve prendere Giovanna nel prossimo esame (esame 4) da 12 CFU per avere una media pesata uguale a 25?<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">SOLUZIONE 1<\/h3>\n\n\n\n<p>Per tentativi&#8230;<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><thead><tr><th class=\"has-text-align-center\" data-align=\"center\">x<\/th><th class=\"has-text-align-center\" data-align=\"center\">Media pesata<\/th><th><\/th><th><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">30<\/td><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-7271aabd8a03a408175b6499a9e40ec2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#43;&#50;&#48;&#92;&#99;&#100;&#111;&#116;&#32;&#54;&#43;&#50;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#32;&#43;&#32;&#51;&#48;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#125;&#123;&#49;&#50;&#43;&#54;&#43;&#51;&#43;&#49;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"241\" style=\"vertical-align: -14px;\"\/><\/td><td>= <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-bf978b3156c60fc6cff31681a5795617_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#52;&#57;&#125;&#123;&#51;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"27\" style=\"vertical-align: -12px;\"\/><\/td><td>= 25,7272\u2026<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">29<\/td><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-26b64c32acc0c10c268965433befabc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#43;&#50;&#48;&#92;&#99;&#100;&#111;&#116;&#32;&#54;&#43;&#50;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#32;&#43;&#32;&#50;&#57;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#125;&#123;&#49;&#50;&#43;&#54;&#43;&#51;&#43;&#49;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"241\" style=\"vertical-align: -14px;\"\/><\/td><td>= <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-675287d3a44721e0d61239acda11e0ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#51;&#55;&#125;&#123;&#51;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"27\" style=\"vertical-align: -12px;\"\/><\/td><td>= 25,3636\u2026<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">28<\/td><td class=\"has-text-align-center\" data-align=\"center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-02b1cd449686049dab405eb9950d3389_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#43;&#50;&#48;&#92;&#99;&#100;&#111;&#116;&#32;&#54;&#43;&#50;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#32;&#43;&#32;&#50;&#56;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#125;&#123;&#49;&#50;&#43;&#54;&#43;&#51;&#43;&#49;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"241\" style=\"vertical-align: -14px;\"\/><\/td><td>= <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-495ae34dc3cb352224e7f93cbbba755b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#56;&#50;&#53;&#125;&#123;&#51;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"37\" width=\"27\" style=\"vertical-align: -12px;\"\/><\/td><td>= <strong>25<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">SOLUZIONE 2<\/h3>\n\n\n\n<p>Sia <strong>x<\/strong> il voto del 4\u00b0 esame, imponi che la media pesata corrispondente sia uguale a <strong>25<\/strong><\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.valcon.it\/pp\/wp-content\/ql-cache\/quicklatex.com-7242e64e322497221e10fd6f0ad8486b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#53;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#43;&#50;&#48;&#92;&#99;&#100;&#111;&#116;&#32;&#54;&#43;&#50;&#51;&#92;&#99;&#100;&#111;&#116;&#32;&#51;&#32;&#43;&#32;&#120;&#92;&#99;&#100;&#111;&#116;&#32;&#49;&#50;&#125;&#123;&#49;&#50;&#43;&#54;&#43;&#51;&#43;&#49;&#50;&#125;&#61;&#50;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"275\" style=\"vertical-align: -14px;\"\/><\/p>\n\n\n\n<p>&#8230;<\/p>\n\n\n\n<p>x = <strong>28<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h2 class=\"wp-block-heading\">OIS 2017 &#8211; IV Finali &#8211; 14<\/h2>\n\n\n\n<p>La verifica di Musica \u00e8 costituita da tre prove, in ciascuna delle quali viene assegnato un voto da 0 a 10.<br>Il voto finale si ottiene tramite una media calcolata tenendo conto del fatto che ciascuna prova ha un diverso peso: l\u2019esito della prova scritta vale il 70% del voto, quella orale il 20% e quella pratica il 10%.<br>Carla ha preso 8 nella prova scritta, 7 in quella orale e 5 nella prova pratica.<br>Qual \u00e8 il suo voto finale?<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h3 class=\"wp-block-heading\">SOLUZIONE<\/h3>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><thead><tr><th>Prova<\/th><th class=\"has-text-align-center\" data-align=\"center\">voto<\/th><th class=\"has-text-align-center\" data-align=\"center\">peso<\/th><th class=\"has-text-align-center\" data-align=\"center\">voto <br>* peso<\/th><th class=\"has-text-align-center\" data-align=\"center\">voto<br>pesato<\/th><\/tr><\/thead><tbody><tr><td>Scritta<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>8<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">70%<\/td><td class=\"has-text-align-center\" data-align=\"center\">8 * 70%<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>5,6<\/strong><\/td><\/tr><tr><td>Orale<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>7<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">20%<\/td><td class=\"has-text-align-center\" data-align=\"center\">7 * 20%<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>1,4<\/strong><\/td><\/tr><tr><td>Pratica<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>5<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">10%<\/td><td class=\"has-text-align-center\" data-align=\"center\">5 * 10%<\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>0,5<\/strong><\/td><\/tr><tr><td><\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\">100%<\/td><td class=\"has-text-align-center\" data-align=\"center\"><\/td><td class=\"has-text-align-center\" data-align=\"center\"><strong>7,5<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>La somma dei pesi \u00e8 <strong>100%<\/strong> quindi il voto finale \u00e8 dato dalla somma dei voti pesati: <strong>7,5<\/strong><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>INVALSI V \u2013 Esempio 1-2-3-4 Ogni esame universitario ha un peso dato dal numero di CFU (crediti formativi universitari).La media pesata dei voti degli esami sostenuti si calcola nel modo seguente: Nella seguente tabella sono riportati i voti dei primi tre esami sostenuti da Giovanna. +&#8212;&#8212;&#8212;+&#8212;&#8212;+&#8212;&#8211;+|&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; | Voto | CFU |+&#8212;&#8212;&#8212;+&#8212;&#8212;+&#8212;&#8211;+| Esame 1 | &nbsp; &#8230; <a title=\"QUESITI sulla Media pesata\" class=\"read-more\" href=\"https:\/\/www.valcon.it\/pp\/quesiti-media-pesata\/\" aria-label=\"Per saperne di pi\u00f9 su QUESITI sulla Media pesata\">Leggi tutto<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[118],"tags":[],"class_list":["post-34933","post","type-post","status-publish","format-standard","hentry","category-probabilita-e-statistica"],"_links":{"self":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts\/34933","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/comments?post=34933"}],"version-history":[{"count":12,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts\/34933\/revisions"}],"predecessor-version":[{"id":45173,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/posts\/34933\/revisions\/45173"}],"wp:attachment":[{"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/media?parent=34933"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/categories?post=34933"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.valcon.it\/pp\/wp-json\/wp\/v2\/tags?post=34933"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}