{"id":58837,"date":"2020-04-16T19:19:33","date_gmt":"2020-04-16T19:19:33","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=58837"},"modified":"2026-03-28T11:21:43","modified_gmt":"2026-03-28T16:21:43","slug":"skew","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/skew\/","title":{"rendered":"Skew"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_1XT2vub9kJU\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_1XT2vub9kJU\" data-source-videoID=\"1XT2vub9kJU\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Skew Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Skew\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_1XT2vub9kJU:hover {cursor:pointer;} img#videoThumbnailImage_1XT2vub9kJU {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/332-skew-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_1XT2vub9kJU\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_1XT2vub9kJU\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Skew\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_1XT2vub9kJU\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_1XT2vub9kJU\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_1XT2vub9kJU\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction SCy_Function() {\n  var x = document.getElementById(\"SCy\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"SCy_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"SCy\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Data_Distributions\" class=\"smooth-scroll\">Data Distributions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Mean,_Median,_and_Mode\" class=\"smooth-scroll\">Mean, Median, and Mode<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Normal_Distributions_vs_Skewed_Distributions\" class=\"smooth-scroll\">Normal Distributions vs. Skewed Distributions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Skew_Formula\" class=\"smooth-scroll\">Skew Formula<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Interpreting_Skew_Values\" class=\"smooth-scroll\">Interpreting Skew Values<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Skew_Practice_Questions\" class=\"smooth-scroll\">Skew Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video about skew. In this video, we will discuss the differences in data distributions with respect to symmetry.<\/p>\n<h2><span id=\"Data_Distributions\" class=\"m-toc-anchor\"><\/span>Data Distributions<\/h2>\n<p>\nThe distributions of quantitative data using a histogram tell us about the frequency of numeric outcomes in a sample of data. The graph lists the possible outcomes in increasing order along the \\(x\\)-axis, and the counts of each occurrence on the \\(y\\)-axis. The pattern that is revealed can take on many shapes that are all helpful in statistical analysis. When a sample size is large enough, we can use theoretical models to make generalizations about the data collected. Analysis of data distributions focuses on the concepts of <strong>center, shape<\/strong>, and <strong>spread<\/strong>. <\/p>\n<h2><span id=\"Mean,_Median,_and_Mode\" class=\"m-toc-anchor\"><\/span>Mean, Median, and Mode<\/h2>\n<p>\nThe statistics having to do with the center of the data set are <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/mean-median-and-mode\/\">median, mean, and mode<\/a>. <\/p>\n<ul style=\"list-style-type: none;\">\n<li style=\"margin-bottom: 13px;\">The <strong>median<\/strong> is the value that is in the exact center of the data-set. Fifty-percent of the values are higher than the median and fifty-percent are lower.<\/li>\n<li style=\"margin-bottom: 13px;\">The <strong>mean<\/strong> is the average value of the data, calculated by adding all values together and dividing by the number of values in the sample.<\/li>\n<li>The <strong>mode<\/strong> is the value that occurs most often. The <strong>variance<\/strong> and <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/standard-deviation\/\">standard deviation<\/a> are statistics that describe the spread of the data. These are quantifiable values to represent how far individual data points are from the mean.<\/li>\n<\/ul>\n<h2><span id=\"Normal_Distributions_vs_Skewed_Distributions\" class=\"m-toc-anchor\"><\/span>Normal Distributions vs. Skewed Distributions<\/h2>\n<p>\nThe shape of the data can be bell-shaped, as seen in a \u201cnormally\u201d distributed model. The <strong>symmetry<\/strong> of the model indicates that the median and the mean values are comparable. The data tapers off in a consistent pattern away from the center to \u201ctails\u201d on either side.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-115406 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.30-PM.png\" alt=\"bell-shaped curve or normal distribution graph\" width=\"341\" height=\"312\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.30-PM.png 341w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.30-PM-300x274.png 300w\" sizes=\"auto, (max-width: 341px) 100vw, 341px\" \/><\/p>\n<p>When distributions are not symmetrical, they may be described as <strong>skewed<\/strong>. <\/p>\n<h3><span id=\"RightSkewed_vs_LeftSkewed_Distributions\" class=\"m-toc-anchor\"><\/span>Right-Skewed vs. Left-Skewed Distributions<\/h3>\n<p>\nA distribution that is \u201cskewed right\u201d would have a longer tail on the right side of the center. This occurs when lower values are more frequent in the data set, but the few larger values are \u201cpulling\u201d the tail to the right. As a result, calculation for the mean value will be affected.<\/p>\n<p>The mean value will be higher than the median in a right-skewed distribution. Similarly, if a data set had a longer tail on the left side, that would indicate that there would be a greater frequency of high-valued data points than low-valued data points. The mean would then be lower than the median in a left-skewed distribution.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-115412 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.58-PM.png\" alt=\"Left skewed graph with mode, median, and mean labeled\" width=\"325\" height=\"299\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.58-PM.png 325w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.58-PM-300x276.png 300w\" sizes=\"auto, (max-width: 325px) 100vw, 325px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-115403 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.42-PM.png\" alt=\"Right skewed graph with mode, median, and mean labeled\" width=\"317\" height=\"302\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.42-PM.png 317w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/Screen-Shot-2022-02-25-at-1.40.42-PM-300x286.png 300w\" sizes=\"auto, (max-width: 317px) 100vw, 317px\" \/><\/p>\n<h2><span id=\"Skew_Formula\" class=\"m-toc-anchor\"><\/span>Skew Formula<\/h2>\n<p>\nHere is the formula used to quantify <strong>skew<\/strong>: <\/p>\n<div class=\"examplesentence\">\\(\\text{skew }=\\)<span style=\"font-size: 120%;\">\\(\\frac{\\sqrt{n(n-1)}}{n-2}(\\frac{\\frac{1}{n}\\sum_{i=1}^{n}(x_{i}-\\bar{x})^{3}}{(\\frac{1}{n}\\sum_{i=1}^{n}(x_{i}-\\bar{x})^{2})^{\\frac{3}{2}}})\\)<\/span><\/div>\n<p>\n&nbsp;<br \/>\nIn this formula, \\(n\\) represents the size of the sample, \\(x_{i}\\) represents each individual data value, and \\(\\bar{x}\\) represents the sample mean. <\/p>\n<p>Note that this formula reflects the spread of the data, by comparing the magnitude of each data value to the mean. Cubing the differences of the data points from the mean in the numerator maintains the sign. For example, a difference that is negative when cubed will remain negative, which is essential for capturing the \u201cdirection\u201d of the skew. <\/p>\n<h2><span id=\"Interpreting_Skew_Values\" class=\"m-toc-anchor\"><\/span>Interpreting Skew Values<\/h2>\n<p>\nThe size of the sample should be kept in mind when interpreting a skew value. As with all statistics, a larger sample size generates more reliable results. In general, skew values close to 0 result from distributions that are nearly normal. The larger the skew value is in the negative direction, the more extreme the left skew is in the data. Larger positive skew value indicate a stronger right skew. <\/p>\n<p>Thank you for watching this review on skew. See you next time!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Skew_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Skew Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich data distribution concept does skew describe? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">Center<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">Shape<\/div><div class=\"PQ\"  id=\"PQ-1-3\">Spread<\/div><div class=\"PQ\"  id=\"PQ-1-4\">Median<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Skew is how we describe data distributions that are not symmetrical. In data distribution, symmetry and asymmetry refer to shape.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich of the following graphs shows a data distribution that is skewed left? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-69830 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Data-distribution-a.png\" alt=\"Data distribution a\" width=\"265\" height=\"154\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Data-distribution-a.png 855w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Data-distribution-a-300x174.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Data-distribution-a-768x446.png 768w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/div><div class=\"PQ\"  id=\"PQ-2-2\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-69833 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-b.png\" alt=\"data distribution b\" width=\"265\" height=\"154\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-b.png 855w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-b-300x174.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-b-768x446.png 768w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/div><div class=\"PQ\"  id=\"PQ-2-3\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-69836 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-c.png\" alt=\"data distribution c\" width=\"265\" height=\"154\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-c.png 855w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-c-300x174.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-c-768x446.png 768w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/div><div class=\"PQ\"  id=\"PQ-2-4\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-69839 alignnone\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-d.png\" alt=\"data distribution d\" width=\"265\" height=\"154\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-d.png 855w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-d-300x174.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/data-distribution-d-768x446.png 768w\" sizes=\"auto, (max-width: 265px) 100vw, 265px\" \/><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A distribution that is skewed left has a tail on the left side. Higher values are more frequent in the data set, but a few smaller values pull the tail to the left. This is best illustrated by the distribution in Graph A.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich statement is true? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">When a data distribution skews right, the value of the mean is higher than the value of the median.<\/div><div class=\"PQ\"  id=\"PQ-3-2\">When a data distribution skews right, the value of the mean is lower than the value of the median.<\/div><div class=\"PQ\"  id=\"PQ-3-3\">When a data distribution skews left, the value of the mean is higher than the value of the median. <\/div><div class=\"PQ\"  id=\"PQ-3-4\">When a data distribution skews left, the value of the mean is equal to the value of the median. <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A data distribution that skews right has a tail on the right side. That means it has a few large values \u201cpulling\u201d the data distribution to the right. As a result, the mean value is higher than the median in a distribution that skews right.<\/p>\n<p>In a data distribution that skews left, the opposite is true. In this type of distribution, the mean value is lower than the median.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWill and Christina surveyed their classmates to find out how many pets each person had. They recorded and ordered their data, which is shown below. When the data is graphed, Will thinks it will skew right. Christina thinks the data will skew left. Who is correct, and why? <\/p>\n<div class=\"yellow-math-quote\">0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">Christina is correct. The distribution will skew left because there is an equal number of high-value data points and low-value data points. <\/div><div class=\"PQ\"  id=\"PQ-4-2\">Christina is correct. The distribution will skew left because there is a greater frequency of low-value data points than high-value data points. <\/div><div class=\"PQ\"  id=\"PQ-4-3\">Will is correct. The distribution will skew right because there is a greater frequency of high-value data points than low-value data points. <\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">Will is correct. The distribution will skew right because there is a greater frequency of low-value data points than high-value data points. <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>There are more data points with low values (0s, 1s, and 2s), but a few larger values (3s, 4, and 5) pull the data set to the right. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nMichelle and Justin surveyed their after-school club to find out how many hours of television each student watched over the weekend. They recorded their data in the histogram shown below. Based on this distribution, which of the following statements is true?<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/11\/After-school-survey-graph.svg\" alt=\"Bar graph showing the number of students versus number of hours, with student count increasing as hours increase, peaking at 12 students for 12 hours.\" width=\"426.3\" height=\"327.25\" class=\"aligncenter size-full wp-image-275461\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">Since the graph skews right, it is represented by a negative number when quantified.<\/div><div class=\"PQ\"  id=\"PQ-5-2\">Since the graph skews right, it is represented by a positive number when quantified. <\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">Since the graph skews left, it is represented by a negative number when quantified. <\/div><div class=\"PQ\"  id=\"PQ-5-4\">Since the graph skews left, it is represented by a positive number when quantified. <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>A distribution that skews left has a longer tail on the left side, as shown in this histogram. When quantified, the sign of the value for skew indicates its direction.<\/p>\n<p>A graph that skews left is represented by a negative value and a graph that skews right is represented by a positive value.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/statistics\/\">Return to Statistics Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Statistics Videos<\/p>\n","protected":false},"author":1,"featured_media":91501,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-58837","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-statistics-videos","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 4.9.9 - aioseo.com -->\n\t<meta name=\"description\" content=\"Skews occur within quantitative data and tell us about the distribution of that data. 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