{"id":7161,"date":"2017-05-08T23:45:15","date_gmt":"2017-05-08T23:45:15","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=7161"},"modified":"2024-04-30T16:35:41","modified_gmt":"2024-04-30T16:35:41","slug":"averages-and-probability","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/averages-and-probability\/","title":{"raw":"Introduction to Finding Averages and Basic Probabilities","rendered":"Introduction to Finding Averages and Basic Probabilities"},"content":{"raw":"<h2>What you'll learn to do: Find the average and basic probabilities from a set of numbers<\/h2>\r\n[caption id=\"attachment_13304\" align=\"aligncenter\" width=\"1024\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/27200529\/1218774914_329ce0c7a6_o.jpg\"><img class=\"wp-image-13304 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/27200529\/1218774914_329ce0c7a6_o-1024x683.jpg\" alt=\"A baseball player at bat, right after taking a swing\" width=\"1024\" height=\"683\" \/><\/a> How can you calculate a baseball player's batting average?[\/caption]\r\n\r\nOne application of decimals that arises often is finding the <em data-effect=\"italics\">average<\/em> of a set of numbers. What do you think of when you hear the word <em data-effect=\"italics\">average<\/em>? Is it your grade point average, the average rent for an apartment in your city, the batting average of a player on your favorite baseball team? The average is a typical value in a set of numerical data. Calculating an average sometimes involves working with decimal numbers. In this section, we'll\u00a0look at three different ways to calculate an average.\r\n\r\nBefore you get started, take this readiness quiz.\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]146163[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/eF_jiZvb79w\r\n\r\n2)\r\n\r\n[ohm_question]144758[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/qFUvF5-w9o0\r\n\r\n3)\r\n\r\n[ohm_question]146253[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/www.youtube.com\/watch?v=P0IB7LfeaU4&feature=youtu.be\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Find the average and basic probabilities from a set of numbers<\/h2>\n<div id=\"attachment_13304\" style=\"width: 1034px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/27200529\/1218774914_329ce0c7a6_o.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-13304\" class=\"wp-image-13304 size-large\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/27200529\/1218774914_329ce0c7a6_o-1024x683.jpg\" alt=\"A baseball player at bat, right after taking a swing\" width=\"1024\" height=\"683\" \/><\/a><\/p>\n<p id=\"caption-attachment-13304\" class=\"wp-caption-text\">How can you calculate a baseball player&#8217;s batting average?<\/p>\n<\/div>\n<p>One application of decimals that arises often is finding the <em data-effect=\"italics\">average<\/em> of a set of numbers. What do you think of when you hear the word <em data-effect=\"italics\">average<\/em>? Is it your grade point average, the average rent for an apartment in your city, the batting average of a player on your favorite baseball team? The average is a typical value in a set of numerical data. Calculating an average sometimes involves working with decimal numbers. In this section, we&#8217;ll\u00a0look at three different ways to calculate an average.<\/p>\n<p>Before you get started, take this readiness quiz.<\/p>\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146163\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146163&theme=oea&iframe_resize_id=ohm146163&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Simplify Basic Expressions in Fraction Form\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/eF_jiZvb79w?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144758\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144758&theme=oea&iframe_resize_id=ohm144758&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Ex: Evaluate an Expression Using the Order of Operations\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qFUvF5-w9o0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146253\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146253&theme=oea&iframe_resize_id=ohm146253&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"Ex 1:  Convert a Fraction to a Decimal (terminating)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/P0IB7LfeaU4?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-7161\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Jimmy Rollins strokes a home run at Petco Park in San Diego, CA.. <strong>Authored by<\/strong>: Jim Epler. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/epler\/1218774914\/\">https:\/\/www.flickr.com\/photos\/epler\/1218774914\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Simplify Basic Expressions in Fraction Form. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/eF_jiZvb79w\">https:\/\/youtu.be\/eF_jiZvb79w<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Ex: Evaluate an Expression Using the Order of Operations. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/qFUvF5-w9o0\">https:\/\/youtu.be\/qFUvF5-w9o0<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Ex 1: Convert a Fraction to a Decimal (terminating). <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/P0IB7LfeaU4\">https:\/\/youtu.be\/P0IB7LfeaU4<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 144758, 146163, 146253. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"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\"},{\"type\":\"cc\",\"description\":\"Jimmy Rollins strokes a home run at Petco Park in San Diego, CA.\",\"author\":\"Jim Epler\",\"organization\":\"\",\"url\":\"https:\/\/www.flickr.com\/photos\/epler\/1218774914\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Simplify Basic Expressions in Fraction Form\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/eF_jiZvb79w\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Evaluate an Expression Using the Order of 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