{"id":3108,"date":"2023-05-19T17:57:14","date_gmt":"2023-05-19T17:57:14","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=3108"},"modified":"2024-10-18T20:54:36","modified_gmt":"2024-10-18T20:54:36","slug":"statistics-background-youll-need-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/statistics-background-youll-need-1\/","title":{"raw":"Statistics: Background You'll Need 1","rendered":"Statistics: Background You&#8217;ll Need 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Write percents as ratios<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Percents<\/h2>\r\n<p>How many cents are in one dollar? There are [latex]100[\/latex] cents in a dollar. How many years are in a century? There are [latex]100[\/latex] years in a century. Does this give you a clue about what the word \"percent\" means? It is really two words, \"per cent,\" and means per one hundred. A percent is a ratio whose denominator is [latex]100[\/latex]. We use the percent symbol [latex]\\text{%,}[\/latex] to show percent.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<div>\r\n<h3>percent<\/h3>\r\n<p>A percent is a ratio whose denominator is [latex]100[\/latex].<\/p>\r\n<\/div>\r\n<\/section>\r\n<section class=\"textbox questionHelp\">\r\n<p><strong>How To: Convert a Percent to a ratio<\/strong><\/p>\r\n<ol id=\"eip-id1168469672602\" class=\"stepwise\">\r\n\t<li><strong>Write the Percent as a Fraction: <\/strong>Begin by writing the percent as a fraction with the percent number as the numerator and [latex]100[\/latex] as the denominator.<\/li>\r\n\t<li><strong>Remove the Percent Sign<\/strong>: When you write the percent as a fraction, omit the percent sign since you are now using the fraction format to represent the same value.<\/li>\r\n\t<li><strong>Simplify the Fraction<\/strong>: Look for the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number to simplify the fraction.<\/li>\r\n<\/ol>\r\n<\/section>\r\n<section class=\"textbox example\">According to the Public Policy Institute of California [latex]\\left(2010\\right)\\text{, }\\text{44%}[\/latex] of parents of public school children would like their youngest child to earn a graduate degree. Write this percent as a ratio.[reveal-answer q=\"374567\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"374567\"]\r\n\r\n\r\n<table id=\"eip-id1168468695064\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>The amount we want to convert is [latex]44%[\/latex].<\/td>\r\n<td>[latex]44%[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write the percent as a ratio. Remember that <em>percent<\/em> means per [latex]100[\/latex].<\/td>\r\n<td style=\"width:30%\">[latex]\\Large\\frac{44}{100}[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6835[\/ohm2_question]<\/section>\r\n<section class=\"textbox example\">In [latex]2007[\/latex], according to a U.S. Department of Education report, [latex]21[\/latex] out of every [latex]100[\/latex] first-time freshmen college students at [latex]\\text{4-year}[\/latex] public institutions took at least one remedial course. Write this as a ratio and then as a percent.[reveal-answer q=\"41227\"]Show Answer[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"41227\"]\r\n\r\n\r\n<table id=\"eip-id1168467356132\" class=\"unnumbered unstyled\" summary=\".\">\r\n<tbody>\r\n<tr>\r\n<td>The amount we want to convert is [latex]21[\/latex] out of [latex]100[\/latex] .<\/td>\r\n<td>[latex]21[\/latex] out of [latex]100[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Write as a ratio.<\/td>\r\n<td style=\"width:30%\">[latex]\\Large\\frac{21}{100}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Convert the [latex]21[\/latex] per [latex]100[\/latex] to percent.<\/td>\r\n<td>[latex]21[\/latex]%<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p>[\/hidden-answer]<\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]6836[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Write percents as ratios<\/li>\n<\/ul>\n<\/section>\n<h2>Percents<\/h2>\n<p>How many cents are in one dollar? There are [latex]100[\/latex] cents in a dollar. How many years are in a century? There are [latex]100[\/latex] years in a century. Does this give you a clue about what the word &#8220;percent&#8221; means? It is really two words, &#8220;per cent,&#8221; and means per one hundred. A percent is a ratio whose denominator is [latex]100[\/latex]. We use the percent symbol [latex]\\text{%,}[\/latex] to show percent.<\/p>\n<section class=\"textbox keyTakeaway\">\n<div>\n<h3>percent<\/h3>\n<p>A percent is a ratio whose denominator is [latex]100[\/latex].<\/p>\n<\/div>\n<\/section>\n<section class=\"textbox questionHelp\">\n<p><strong>How To: Convert a Percent to a ratio<\/strong><\/p>\n<ol id=\"eip-id1168469672602\" class=\"stepwise\">\n<li><strong>Write the Percent as a Fraction: <\/strong>Begin by writing the percent as a fraction with the percent number as the numerator and [latex]100[\/latex] as the denominator.<\/li>\n<li><strong>Remove the Percent Sign<\/strong>: When you write the percent as a fraction, omit the percent sign since you are now using the fraction format to represent the same value.<\/li>\n<li><strong>Simplify the Fraction<\/strong>: Look for the greatest common divisor (GCD) of the numerator and the denominator and divide both by this number to simplify the fraction.<\/li>\n<\/ol>\n<\/section>\n<section class=\"textbox example\">According to the Public Policy Institute of California [latex]\\left(2010\\right)\\text{, }\\text{44%}[\/latex] of parents of public school children would like their youngest child to earn a graduate degree. Write this percent as a ratio.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q374567\">Show Answer<\/button><\/p>\n<div id=\"q374567\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168468695064\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>The amount we want to convert is [latex]44%[\/latex].<\/td>\n<td>[latex]44%[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write the percent as a ratio. Remember that <em>percent<\/em> means per [latex]100[\/latex].<\/td>\n<td style=\"width:30%\">[latex]\\Large\\frac{44}{100}[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6835\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6835&theme=lumen&iframe_resize_id=ohm6835&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox example\">In [latex]2007[\/latex], according to a U.S. Department of Education report, [latex]21[\/latex] out of every [latex]100[\/latex] first-time freshmen college students at [latex]\\text{4-year}[\/latex] public institutions took at least one remedial course. Write this as a ratio and then as a percent.<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q41227\">Show Answer<\/button><\/p>\n<div id=\"q41227\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1168467356132\" class=\"unnumbered unstyled\" summary=\".\">\n<tbody>\n<tr>\n<td>The amount we want to convert is [latex]21[\/latex] out of [latex]100[\/latex] .<\/td>\n<td>[latex]21[\/latex] out of [latex]100[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write as a ratio.<\/td>\n<td style=\"width:30%\">[latex]\\Large\\frac{21}{100}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Convert the [latex]21[\/latex] per [latex]100[\/latex] to percent.<\/td>\n<td>[latex]21[\/latex]%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm6836\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=6836&theme=lumen&iframe_resize_id=ohm6836&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":16,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":86,"module-header":"background_you_need","content_attributions":[{"type":"cc","description":"Prealgebra","author":"","organization":"OpenStax","url":"","project":"","license":"cc-by","license_terms":"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757"}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3108"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/16"}],"version-history":[{"count":11,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3108\/revisions"}],"predecessor-version":[{"id":13896,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3108\/revisions\/13896"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/86"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/3108\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=3108"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=3108"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=3108"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=3108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}