{"id":1150,"date":"2023-06-22T01:56:51","date_gmt":"2023-06-22T01:56:51","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sampling-variability-background-youll-need-1\/"},"modified":"2025-05-16T02:33:52","modified_gmt":"2025-05-16T02:33:52","slug":"sampling-variability-background-youll-need-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/sampling-variability-background-youll-need-1\/","title":{"raw":"Module 8: Background You'll Need 5","rendered":"Module 8: Background You&#8217;ll Need 5"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find probabilities and percentiles using the Normal Curve&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4608,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find probabilities and percentiles using the Normal Curve.<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Empirical Rule<\/h2>\r\n<section class=\"textbox recall\">When a variable has a normal distribution, the Empirical Rule will apply:\r\n\r\n<ul>\r\n\t<li>About [latex]68\\%[\/latex] of the values will fall within one standard deviation from the mean.<\/li>\r\n\t<li>About [latex]95\\%[\/latex] of the values will fall within two standard deviations from the mean.<\/li>\r\n\t<li>About [latex]99.7\\%[\/latex] of the values will fall within three standard deviations from the mean.<\/li>\r\n<\/ul>\r\n<p><img class=\"aligncenter wp-image-6526 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22015650\/large-4.5.L.Histogram1.png\" alt=\"A diagram detailing the Empirical Rule.\" width=\"252\" height=\"300\" \/><\/p>\r\n<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]1587[\/ohm2_question]<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Find probabilities and percentiles using the Normal Curve&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:4608,&quot;12&quot;:0,&quot;15&quot;:&quot;Calibri&quot;}\">Find probabilities and percentiles using the Normal Curve.<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Empirical Rule<\/h2>\n<section class=\"textbox recall\">When a variable has a normal distribution, the Empirical Rule will apply:<\/p>\n<ul>\n<li>About [latex]68\\%[\/latex] of the values will fall within one standard deviation from the mean.<\/li>\n<li>About [latex]95\\%[\/latex] of the values will fall within two standard deviations from the mean.<\/li>\n<li>About [latex]99.7\\%[\/latex] of the values will fall within three standard deviations from the mean.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-6526 size-medium\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/06\/22015650\/large-4.5.L.Histogram1.png\" alt=\"A diagram detailing the Empirical Rule.\" width=\"252\" height=\"300\" \/><\/p>\n<\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm1587\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1587&theme=lumen&iframe_resize_id=ohm1587&source=tnh\" width=\"100%\" 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