{"id":332,"date":"2022-06-17T15:36:51","date_gmt":"2022-06-17T15:36:51","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/applications-of-bar-graphs-corequisite-support-activity\/"},"modified":"2022-06-17T16:56:26","modified_gmt":"2022-06-17T16:56:26","slug":"applications-of-bar-graphs-corequisite-support-activity","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/applications-of-bar-graphs-corequisite-support-activity\/","title":{"raw":"Applications of Bar Graphs: Background You'll Need 1","rendered":"Applications of Bar Graphs: Background You&#8217;ll Need 1"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning goals<\/h3>\r\nIn this support activity you'll become familiar with the following:\r\n<ul>\r\n \t<li><a href=\"#BarPercent\">Read and interpret bar charts that represent percentages.<\/a><\/li>\r\n \t<li><a href=\"#Stacked\">Read and interpret stacked bar charts.<\/a><\/li>\r\n \t<li><a href=\"#AbsPercent\">Express absolute change in percentages.<\/a><\/li>\r\n \t<li><a href=\"#RelPercent\">Express relative change in percentages.<\/a><\/li>\r\n<\/ul>\r\nYou will also have an opportunity to refresh the following skills:\r\n<ul>\r\n \t<li><a href=\"#RecallAbs\">Compute absolute change between two values.<\/a><\/li>\r\n \t<li><a href=\"#RecallRel\">Compute relative change between two values.<\/a><\/li>\r\n<\/ul>\r\n<\/div>\r\nIn the next section of the course material and in the following activity, you will need to be able to interpret data presented in side-by-side and stacked bar charts. Prepare for that in this support activity by practicing working with data presented as percentages. At the end of the activity you'll also compute absolute and relative changes in percentages. That part can be tricky. Follow the Recall box and question hints for help along the way. You may also wish to refer to\u00a0<strong><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Stats+Exemplar\/Resource+-+Fractions%2C+Decimals%2C+Percentages.pdf\" target=\"_blank\" rel=\"noopener\">Fractions, Decimals, Percentages.<\/a><\/strong>\r\n<h2 id=\"BarPercent\"><strong>Bar Charts<\/strong><\/h2>\r\nYou worked with bar graphs (also called bar charts) recently in <a href=\"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/3a\/\">What to Know About Displaying Categorical Data: 3A.<\/a> The graphs in that page displayed several bars, each representing a different categorical variable. The height of the bar represented that category's associated frequency (count). The graphs we'll look at in this activity are similar to the ones you saw there, but instead of the bar heights representing counts, these will represent percentages. Let's take a close look at the first graph below, Age Distribution of At-Home Workers, as an example.\r\n<div class=\"textbox exercises\">\r\n<h3>interactive example<\/h3>\r\n[reveal-answer q=\"418269\"]Age Distribution of At-Home Workers[\/reveal-answer]\r\n[hidden-answer a=\"418269\"]\r\n\r\n<img class=\"alignnone wp-image-1409 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2021\/10\/17201737\/3B-1.png\" alt=\"The bar graph is titled &quot;Age Distribution of At-Home Workers&quot;. The x-axis organizes the age groups, and the y-axis is labeled &quot;Percentage&quot;. The age groups are distributed as follows: 15-24 years (5%), 25-34 years (14%), 35-44 years (23%), 45-54 years (27%), 55-64 years (22%), 65 years and over (10%).\" width=\"1024\" height=\"560\" \/>[\/hidden-answer]\r\n<ol>\r\n \t<li>According to the graph, what percent of at-home workers were\u00a0[latex]15[\/latex] to [latex]24[\/latex] years old?<\/li>\r\n \t<li>Which age range of workers makes up nearly [latex]15\\%[\/latex] of at-home workers?<\/li>\r\n \t<li>What percent of at-home workers are at least [latex]65[\/latex] years old?<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"655838\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"655838\"]\r\n<ol>\r\n \t<li>We can see from the graph that workers who were [latex]15[\/latex] to [latex]24[\/latex] years old represented [latex]5\\%[\/latex] of all at-home workers.<\/li>\r\n \t<li>Workers aged [latex]25[\/latex] to [latex]34[\/latex] years old represented nearly [latex]15\\%[\/latex] of at-home workers.<\/li>\r\n \t<li>Workers at least [latex]65[\/latex] years old make up [latex]10\\%[\/latex] of at-home workers.<\/li>\r\n<\/ol>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\nThe graph below shows data from the U.S. Census Bureau on at-home workers in the United States in 2010. [footnote] Mateyka, P. J., Rapino, M. A., &amp; Landivar, L. C. (2012, October). Home-based workers in the United States: 2010. United States Census Bureau. https:\/\/www.census.gov\/prod\/2012pubs\/p70-132.pdf [\/footnote] Note that age ranges are listed along the horizontal axis and percentages are marked along the vertical axis. The graph displays the percentages of all workers, separated by age ranges, who worked at home at least one full day during a typical work week in 2010 (<em>at-home workers<\/em>)<em>.<\/em>\r\n\r\n<img class=\"alignnone wp-image-1409 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2021\/10\/17201737\/3B-1.png\" alt=\"The bar graph is titled &quot;Age Distribution of At-Home Workers&quot;. The x-axis organizes the age groups, and the y-axis is labeled &quot;Percentage&quot;. The age groups are distributed as follows: 15-24 years (5%), 25-34 years (14%), 35-44 years (23%), 45-54 years (27%), 55-64 years (22%), 65 years and over (10%).\" width=\"1024\" height=\"560\" \/>\r\n\r\nUse this graph to answer the questions below.\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 1<\/h3>\r\n[ohm_question hide_question_numbers=1]240790[\/ohm_question]\r\n\r\n[reveal-answer q=\"183513\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"183513\"]Refer to the bar graph (the chart) above.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 2<\/h3>\r\n[ohm_question hide_question_numbers=1]240989[\/ohm_question]\r\n\r\n[reveal-answer q=\"140683\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"140683\"]Note that percentages are marked along the vertical axis of the graph.[\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 3<\/h3>\r\n[ohm_question hide_question_numbers=1]240791[\/ohm_question]\r\n\r\n[reveal-answer q=\"876290\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"876290\"]Be sure to include all the age ranges up to and including workers [latex]44[\/latex] years of age or younger. [\/hidden-answer]\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>question 4<\/h3>\r\n[ohm_question hide_question_numbers=1]240792[\/ohm_question]\r\n\r\n[reveal-answer q=\"773223\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"773223\"]What do <em>you<\/em> think?[\/hidden-answer]\r\n\r\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning goals<\/h3>\n<p>In this support activity you&#8217;ll become familiar with the following:<\/p>\n<ul>\n<li><a href=\"#BarPercent\">Read and interpret bar charts that represent percentages.<\/a><\/li>\n<li><a href=\"#Stacked\">Read and interpret stacked bar charts.<\/a><\/li>\n<li><a href=\"#AbsPercent\">Express absolute change in percentages.<\/a><\/li>\n<li><a href=\"#RelPercent\">Express relative change in percentages.<\/a><\/li>\n<\/ul>\n<p>You will also have an opportunity to refresh the following skills:<\/p>\n<ul>\n<li><a href=\"#RecallAbs\">Compute absolute change between two values.<\/a><\/li>\n<li><a href=\"#RecallRel\">Compute relative change between two values.<\/a><\/li>\n<\/ul>\n<\/div>\n<p>In the next section of the course material and in the following activity, you will need to be able to interpret data presented in side-by-side and stacked bar charts. Prepare for that in this support activity by practicing working with data presented as percentages. At the end of the activity you&#8217;ll also compute absolute and relative changes in percentages. That part can be tricky. Follow the Recall box and question hints for help along the way. You may also wish to refer to\u00a0<strong><a href=\"https:\/\/course-building.s3.us-west-2.amazonaws.com\/Stats+Exemplar\/Resource+-+Fractions%2C+Decimals%2C+Percentages.pdf\" target=\"_blank\" rel=\"noopener\">Fractions, Decimals, Percentages.<\/a><\/strong><\/p>\n<h2 id=\"BarPercent\"><strong>Bar Charts<\/strong><\/h2>\n<p>You worked with bar graphs (also called bar charts) recently in <a href=\"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/3a\/\">What to Know About Displaying Categorical Data: 3A.<\/a> The graphs in that page displayed several bars, each representing a different categorical variable. The height of the bar represented that category&#8217;s associated frequency (count). The graphs we&#8217;ll look at in this activity are similar to the ones you saw there, but instead of the bar heights representing counts, these will represent percentages. Let&#8217;s take a close look at the first graph below, Age Distribution of At-Home Workers, as an example.<\/p>\n<div class=\"textbox exercises\">\n<h3>interactive example<\/h3>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q418269\">Age Distribution of At-Home Workers<\/span><\/p>\n<div id=\"q418269\" class=\"hidden-answer\" style=\"display: none\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1409 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2021\/10\/17201737\/3B-1.png\" alt=\"The bar graph is titled &quot;Age Distribution of At-Home Workers&quot;. The x-axis organizes the age groups, and the y-axis is labeled &quot;Percentage&quot;. The age groups are distributed as follows: 15-24 years (5%), 25-34 years (14%), 35-44 years (23%), 45-54 years (27%), 55-64 years (22%), 65 years and over (10%).\" width=\"1024\" height=\"560\" \/><\/div>\n<\/div>\n<ol>\n<li>According to the graph, what percent of at-home workers were\u00a0[latex]15[\/latex] to [latex]24[\/latex] years old?<\/li>\n<li>Which age range of workers makes up nearly [latex]15\\%[\/latex] of at-home workers?<\/li>\n<li>What percent of at-home workers are at least [latex]65[\/latex] years old?<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q655838\">Show Answer<\/span><\/p>\n<div id=\"q655838\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>We can see from the graph that workers who were [latex]15[\/latex] to [latex]24[\/latex] years old represented [latex]5\\%[\/latex] of all at-home workers.<\/li>\n<li>Workers aged [latex]25[\/latex] to [latex]34[\/latex] years old represented nearly [latex]15\\%[\/latex] of at-home workers.<\/li>\n<li>Workers at least [latex]65[\/latex] years old make up [latex]10\\%[\/latex] of at-home workers.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<p>The graph below shows data from the U.S. Census Bureau on at-home workers in the United States in 2010. <a class=\"footnote\" title=\"Mateyka, P. J., Rapino, M. A., &amp; Landivar, L. C. (2012, October). Home-based workers in the United States: 2010. United States Census Bureau. https:\/\/www.census.gov\/prod\/2012pubs\/p70-132.pdf\" id=\"return-footnote-332-1\" href=\"#footnote-332-1\" aria-label=\"Footnote 1\"><sup class=\"footnote\">[1]<\/sup><\/a> Note that age ranges are listed along the horizontal axis and percentages are marked along the vertical axis. The graph displays the percentages of all workers, separated by age ranges, who worked at home at least one full day during a typical work week in 2010 (<em>at-home workers<\/em>)<em>.<\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1409 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2021\/10\/17201737\/3B-1.png\" alt=\"The bar graph is titled &quot;Age Distribution of At-Home Workers&quot;. The x-axis organizes the age groups, and the y-axis is labeled &quot;Percentage&quot;. The age groups are distributed as follows: 15-24 years (5%), 25-34 years (14%), 35-44 years (23%), 45-54 years (27%), 55-64 years (22%), 65 years and over (10%).\" width=\"1024\" height=\"560\" \/><\/p>\n<p>Use this graph to answer the questions below.<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>question 1<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm240790\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=240790&theme=oea&iframe_resize_id=ohm240790\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q183513\">Hint<\/span><\/p>\n<div id=\"q183513\" class=\"hidden-answer\" style=\"display: none\">Refer to the bar graph (the chart) above.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 2<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm240989\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=240989&theme=oea&iframe_resize_id=ohm240989\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q140683\">Hint<\/span><\/p>\n<div id=\"q140683\" class=\"hidden-answer\" style=\"display: none\">Note that percentages are marked along the vertical axis of the graph.<\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 3<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm240791\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=240791&theme=oea&iframe_resize_id=ohm240791\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q876290\">Hint<\/span><\/p>\n<div id=\"q876290\" class=\"hidden-answer\" style=\"display: none\">Be sure to include all the age ranges up to and including workers [latex]44[\/latex] years of age or younger. <\/div>\n<\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>question 4<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm240792\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=240792&theme=oea&iframe_resize_id=ohm240792\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q773223\">Hint<\/span><\/p>\n<div id=\"q773223\" class=\"hidden-answer\" style=\"display: none\">What do <em>you<\/em> think?<\/div>\n<\/div>\n<\/div>\n<hr class=\"before-footnotes clear\" \/><div class=\"footnotes\"><ol><li id=\"footnote-332-1\"> Mateyka, P. J., Rapino, M. A., &amp; Landivar, L. C. (2012, October). Home-based workers in the United States: 2010. United States Census Bureau. https:\/\/www.census.gov\/prod\/2012pubs\/p70-132.pdf  <a href=\"#return-footnote-332-1\" class=\"return-footnote\" aria-label=\"Return to footnote 1\">&crarr;<\/a><\/li><\/ol><\/div>","protected":false},"author":17533,"menu_order":10,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-332","chapter","type-chapter","status-publish","hentry"],"part":160,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/332\/revisions"}],"predecessor-version":[{"id":410,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/332\/revisions\/410"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/parts\/160"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/332\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=332"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=332"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=332"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}