{"id":58128,"date":"2019-12-18T20:25:36","date_gmt":"2019-12-18T20:25:36","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=58128"},"modified":"2026-03-25T11:24:55","modified_gmt":"2026-03-25T16:24:55","slug":"data-interpretation-of-graphs","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/data-interpretation-of-graphs\/","title":{"rendered":"Data Interpretation of Graphs"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_thGV_mUjI10\" 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_thGV_mUjI10\" data-source-videoID=\"thGV_mUjI10\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Data Interpretation of Graphs Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Data Interpretation of Graphs\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_thGV_mUjI10:hover {cursor:pointer;} img#videoThumbnailImage_thGV_mUjI10 {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/709-interpretation-of-graphs-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_thGV_mUjI10\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_thGV_mUjI10\" 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\",\"Data Interpretation of Graphs\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_thGV_mUjI10\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_thGV_mUjI10\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_thGV_mUjI10\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction SVR_Function() {\n  var x = document.getElementById(\"SVR\");\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=\"SVR_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=\"SVR\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Qualitative_Data\" class=\"smooth-scroll\">Qualitative Data<\/a>\n<ul><\/li>\n<li class=\"toc-h3\"><a href=\"#Pie_Charts\" class=\"smooth-scroll\">Pie Charts<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Bar_Charts\" class=\"smooth-scroll\">Bar Charts<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Pictographs\" class=\"smooth-scroll\">Pictographs<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"toc-h2\"><a href=\"#Quantitative_Data\" class=\"smooth-scroll\">Quantitative Data<br \/>\n<\/a><\/p>\n<ul><\/li>\n<li class=\"toc-h3\"><a href=\"#Histogram\" class=\"smooth-scroll\">Histogram<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Regression_Analysis\" class=\"smooth-scroll\">Regression Analysis<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Line_Graphs\" class=\"smooth-scroll\">Line Graphs<\/a><\/li>\n<li class=\"toc-h3\"><a href=\"#Stem_and_Leaf_Charts\" class=\"smooth-scroll\">Stem and Leaf Charts<\/a><\/li>\n<\/ul>\n<\/li>\n<li class=\"toc-h2\"><a href=\"#Data_Interpretation_of_Graph_Practice_Questions\" class=\"smooth-scroll\">Data Interpretation of Graph 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>It\u2019s been said that a picture is worth a thousand words. This is true of the many different ways that data can be transformed into visual representations for easier interpretation. <\/p>\n<p>Data in and of itself can be difficult to explain but when it is carefully organized, patterns can be revealed, or it may become apparent that no patterns exist. Either way, both results are meaningful.<\/p>\n<p>Advances in technology enable us to collect and track data like never before, and interpretation of data is simplified with the use of graphs. Data is collected for many reasons, ranging from simple consumer surveys to track preferences, to election polling to predict the winner of a political office. Graphs are used to make that data easier to digest or comprehend. <\/p>\n<p>Before we get to the graphs, you should know that there are different types of data that can be collected. The first one we\u2019ll talk about is qualitative data. <\/p>\n<h2><span id=\"Qualitative_Data\" class=\"m-toc-anchor\"><\/span>Qualitative Data<\/h2>\n<p>\nThis data would result from a survey that groups respondents by category. For example, you can survey students in your school and ask them to report their eye color, gender, area code, and favorite movie type. These categories provide information for your study. <\/p>\n<p>In this case, maybe you\u2019re wondering whether there is a relationship between the number of blue-eyed, sci-fi fans living in a particular area code. Well, you may be able to detect a pattern in the counts (or percentages) of qualitative data by category.<\/p>\n<p>Graphs that are used to depict qualitative data are pie-charts and bar graphs. <\/p>\n<h3><span id=\"Pie_Charts\" class=\"m-toc-anchor\"><\/span>Pie Charts<\/h3>\n<p>\nA pie-chart< looks exactly like what you might expect: a pie! A circle, representing 100% of a particular variable of interest, is divided into categories. Segments of the pie represent a percentage of the whole. Pie charts can also show counts. In this example, six people, or 30% of the respondents, favored romantic movies.\n\n\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/interpretation-of-graphs-01.svg\" alt=\"\" width=\"368\" height=\"420\" class=\"aligncenter size-full wp-image-205640\" role=\"img\" \/><\/p>\n<h3><span id=\"Bar_Charts\" class=\"m-toc-anchor\"><\/span>Bar Charts<\/h3>\n<p>\nBar charts also show counts (or percentages) by category, but in a different way. It looks like a city in the distance with skyscrapers at varying heights. This bar chart shows categories on the horizontal axis with the associated counts on the vertical axis. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/interpretation-of-graphs-bar-graph-02.svg\" alt=\"\" width=\"339\" height=\"353\" class=\"aligncenter size-full wp-image-205679\" role=\"img\" \/><\/p>\n<h3><span id=\"Pictographs\" class=\"m-toc-anchor\"><\/span>Pictographs<\/h3>\n<p>\nNext, we have pictographs. As the name suggests, a pictograph provides visual context. Visual cues and images are used to represent the data, and keys are provided to tell you what each image or symbol represents. In this survey of student fruit preference, apples took the lead with twenty students reporting them as their favorite.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_134939906.png\" alt=\"\" width=\"384.4\" height=\"512.4\" class=\"aligncenter size-full wp-image-205685\" style=\"box-shadow: 1.5px 1.5px 3px grey;\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_134939906.png 961w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_134939906-225x300.png 225w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_134939906-768x1024.png 768w\" sizes=\"(max-width: 961px) 100vw, 961px\" \/><\/p>\n<h2 style=\"margin-top: 2em;\">Quantitative Data<\/h3>\n<p>\nAnother type of data that can be collected is known as quantitative. Unlike qualitative data, you can do math with quantitative data because it is numeric in nature.<\/p>\n<p>For example, what if you are interested in the average AP Statistics score of the graduating class of your high school? <\/p>\n<h3><span id=\"Histogram\" class=\"m-toc-anchor\"><\/span>Histogram<\/h3>\n<p>\nGathering reliable data may be the trickiest part of your study, but a <strong>histogram<\/strong> can relay trends in the results with precision. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram.webp\" alt=\"\" width=\"456.28\" height=\"289.52\" class=\"aligncenter size-full wp-image-211795\" style=\"box-shadow: 1.5px 1.5px 3px grey;\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram.webp 2074w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram-300x190.webp 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram-1024x650.webp 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram-768x487.webp 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram-1536x975.webp 1536w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/histogram-2048x1300.webp 2048w\" sizes=\"(max-width: 2074px) 100vw, 2074px\" \/><\/p>\n<p>A histogram resembles a bar graph, with the exception of spaces between the bars. There is a range of numeric values displayed on the horizontal axis, and the counts of students are displayed on the vertical axis. <\/p>\n<p>The pattern of scores may appear somewhat symmetric, which is typically referred to as \u201cnormally\u201d distributed. This would suggest that most students scored in the middle of the range, and that there were some high achievers and others who were not so successful. <\/p>\n<p>A histogram could also show a \u201cskew\u201d to the right or left, which may reveal information about overall student understanding.<\/p>\n<p><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/scatter-plots\/\">Scatter plots<\/a> show data points for two quantitative variables on the same graph. The pattern revealed could show an association between the two variables. The data is analyzed with respect to direction, form, and strength. <\/p>\n<p><strong>Direction<\/strong> can be positive if a rising pattern is seen in the data, or negative if a falling pattern is seen. The <strong>form<\/strong> of the scatter plot identifies whether the data appears somewhat linear, curved, or cone-like in shape. <strong>Strength<\/strong> associates how tightly the points are gathered. An example of a strong positive, somewhat linear pattern could be revealed in a scatter plot of shoe size versus height of male high school students. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135510863.png\" alt=\"\" width=\"408.8\" height=\"408\" class=\"aligncenter size-full wp-image-205691\" style=\"box-shadow: 1.5px 1.5px 3px grey;\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135510863.png 1022w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135510863-300x300.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135510863-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135510863-768x766.png 768w\" sizes=\"(max-width: 1022px) 100vw, 1022px\" \/><\/p>\n<p>Because typical male students continue to grow during the high school years, the data for all male students would likely show underclassmen data points at the lower end of the scatter plot and upperclassmen represented at the higher end. Data points that do not fit a recognizable pattern are referred to as \u201coutliers.\u201d Finally, a scatter plot with no pattern at all is also of interest to prove no association between the two variables.<\/p>\n<h3><span id=\"Regression_Analysis\" class=\"m-toc-anchor\"><\/span>Regression Analysis<\/h3>\n<p>\nRegression analysis can be performed on scatter plot data that has been characterized as \u201cstrong linear\u201d in shape and either positive or negative in direction. This regression line serves as a predictive model only for estimating other points of interest within the range of the data set. <\/p>\n<h3><span id=\"Line_Graphs\" class=\"m-toc-anchor\"><\/span>Line Graphs<\/h3>\n<p>\n<a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/line-graph\/\">Line graphs<\/a> are very useful to recognize how patterns in datasets change over time. Unlike a linear regression model that runs <em>through<\/em> a set of points, a line graph <em>connects<\/em> the data points.<\/p>\n<p>The graph of mobile phone sales over time shows an overall increasing pattern; however, there was a noticeable dip in sales between 2011 and 2012. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135724977.png\" alt=\"\" width=\"410.4\" height=\"381.6\" class=\"aligncenter size-full wp-image-205697\" style=\"box-shadow: 1.5px 1.5px 3px grey;\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135724977.png 1026w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135724977-300x279.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135724977-1024x952.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135724977-768x714.png 768w\" sizes=\"(max-width: 1026px) 100vw, 1026px\" \/><\/p>\n<p>Graphing multiple variables together in a line graph can also be very informative. For example, suppose temperature and rainfall amounts in a particular region were graphed simultaneously. As can be seen, contrasting weather patterns are revealed. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135907903.png\" alt=\"\" width=\"402.8\" height=\"261.6\" class=\"aligncenter size-full wp-image-205703\" style=\"box-shadow: 1.5px 1.5px 3px grey;\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135907903.png 2014w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135907903-300x195.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135907903-1024x665.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135907903-768x499.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_135907903-1536x998.png 1536w\" sizes=\"(max-width: 2014px) 100vw, 2014px\" \/><\/p>\n<h3><span id=\"Stem_and_Leaf_Charts\" class=\"m-toc-anchor\"><\/span>Stem and Leaf Charts<\/h3>\n<p>\nFinally, stem and leaf charts contain actual data values. The pattern revealed is similar to that of a bar chart that has been rotated clockwise 90 degrees. The \u201cstem\u201d of the chart lists the digits of an indicated place value vertically. <\/p>\n<p>In this example, the stem represents the \u201ctens\u201d of a data set of ages. The leaves branch outward with the digits of the \u201cones\u201d place for each age in the data set. A key should always be part of the graph so the data can be interpreted correctly. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_140106224.png\" alt=\"\" width=\"447.6\" height=\"362.4\" class=\"aligncenter size-full wp-image-205709\" style=\"box-shadow: 1.5px 1.5px 3px grey;\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_140106224.png 1119w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_140106224-300x243.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_140106224-1024x829.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/10\/image_2023-10-23_140106224-768x622.png 768w\" sizes=\"(max-width: 1119px) 100vw, 1119px\" \/><\/p>\n<p>This data set shows a pattern that seems to be skewed left, towards the younger ages. There are 19 people under twenty and only 7 people over fifty.<\/p>\n<p>Thanks for watching this overview of data interpretation. See you next time!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Data_Interpretation_of_Graph_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Data Interpretation of Graph 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 \/>\nHow are qualitative data and quantitative data different from one another? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">Quantitative data is descriptive and conceptual, and qualitative data is numeric.<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">Quantitative data is numeric, and qualitative data is descriptive and conceptual. <\/div><div class=\"PQ\"  id=\"PQ-1-3\">Quantitative data and qualitative data are both numeric and conceptual. <\/div><div class=\"PQ\"  id=\"PQ-1-4\">Quantitative data and qualitative data are neither numeric nor conceptual. <\/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>Quantitative data is based on numbers, and qualitative data is based on concepts and characteristics.<\/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 graph would best illustrate a set of data on a class survey of each student\u2019s favorite book genre?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">Pie chart<\/div><div class=\"PQ\"  id=\"PQ-2-2\">Line graph<\/div><div class=\"PQ\"  id=\"PQ-2-3\">Histogram<\/div><div class=\"PQ\"  id=\"PQ-2-4\">Stem and leaf chart <\/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>This is a set of qualitative data because it describes the results of a class survey that groups respondents by category. A pie chart is often used to illustrate qualitative data. <\/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 \/>\nBased on the bar chart shown, which statement is true?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Bar-chart-sports.svg\" alt=\"Bar graph showing numbers of 7th grade boys and girls in sports from 2023 to 2026; boys start higher, but girls surpass boys by 2026.\" width=\"383\" height=\"353\" class=\"aligncenter size-full wp-image-274594\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">15 boys played sports in 2023<\/div><div class=\"PQ\"  id=\"PQ-3-2\">More girls than boys played sports in 2024<\/div><div class=\"PQ\"  id=\"PQ-3-3\">Fewer than 10 girls played sports in 2024<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">A total of 70 girls played sports in 2025 and 2026<\/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>According to the key, the green bars show how many girls participated in sports each year. In 2025 and 2026, the bars representing \u201cGirls\u201d each read as 35 for \u201cNumber of Students.\u201d Therefore, the total number of girls is 70.<\/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 \/>\nThis scatter plot shows Monica\u2019s training as she prepares for a 6-mile race. How could we describe the pattern of the data points?<\/p>\n<p><img decoding=\"async\" class=\" wp-image-69971 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Scatter-plot-of-Monicas-race-training.png\" alt=\"Scatter plot of Monica's race training\" width=\"283.8\" height=\"224.4\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Scatter-plot-of-Monicas-race-training.png 1304w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Scatter-plot-of-Monicas-race-training-300x237.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Scatter-plot-of-Monicas-race-training-1024x807.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Scatter-plot-of-Monicas-race-training-768x605.png 768w\" sizes=\"(max-width: 1304px) 100vw, 1304px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">The data points are moving in a negative direction and have a curved shape.<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">The data points are moving in a positive direction and have a linear shape. <\/div><div class=\"PQ\"  id=\"PQ-4-3\">The scatter plot has several outliers.<\/div><div class=\"PQ\"  id=\"PQ-4-4\">The scatter plot shows no pattern at all, so there is no association between the two variables. <\/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>Since these data points are moving in an upward direction from left to right, it is positive. Since most of the data points would fall on or near a straight diagonal line, the shape of the graph is described as linear.<\/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 \/>\nHillary and Stephen want to keep track of the different kinds of cupcakes they bake over the course of seven months. Hillary says they should track their data using a pictograph, but Stephen says they should use a stem and leaf chart. Who is correct, and why? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">Stephen and Hillary are both correct because the data can be displayed with a pictograph and a stem and leaf chart.<\/div><div class=\"PQ\"  id=\"PQ-5-2\">Stephen and Hillary are both incorrect because the data cannot be displayed with a pictograph or a stem and leaf chart.<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">Hillary is correct because the data is qualitative, which is best displayed with a pictograph. <\/div><div class=\"PQ\"  id=\"PQ-5-4\">Hillary is incorrect because the data is quantitative, which is best displayed with a stem and leaf chart. \r\n<\/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>The scenario described represents the collection of qualitative data. A pictograph best illustrates qualitative data, and a stem and leaf chart best illustrates quantitative data.<\/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\/pre-algebra\/\">Return to Pre-Algebra Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Pre-Algebra Videos<\/p>\n","protected":false},"author":1,"featured_media":99736,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-58128","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-pre-algebra-displaying-information-videos","7":"page_category-pre-algebra-graphs-videos","8":"page_category-math-advertising-group","9":"page_type-video","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/58128","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=58128"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/58128\/revisions"}],"predecessor-version":[{"id":279148,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/58128\/revisions\/279148"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/99736"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=58128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}