{"id":838599,"date":"2024-07-30T10:27:45","date_gmt":"2024-07-30T04:57:45","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=838599"},"modified":"2024-07-30T10:27:45","modified_gmt":"2024-07-30T04:57:45","slug":"exam-prep-frequency-polygon","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-frequency-polygon\/","title":{"rendered":"Frequency Polygon: Definition, Steps and Solved Examples"},"content":{"rendered":"\n<p>A frequency polygon is a graphical representation used to understand the distribution of a dataset. It involves plotting the frequency of data points and connecting them with straight lines to form a polygon. This method is particularly useful in visualizing the shape of a distribution and identifying patterns, trends, or outliers. To create a frequency polygon, you need to follow specific steps: organize the data into a frequency distribution table, plot the midpoints of each class interval on a graph, and then connect these points with straight lines. Key terms related to frequency polygons include class intervals, midpoints, and frequency. Frequency polygons are commonly used in competitive exams such as <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/jee-mains-mathematics-questions\/\"><strong>JEE<\/strong><\/a>, <strong>NEET<\/strong>, <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-quantitative-aptitude-syllabus-for-ssc-cgl\/\"><strong>SSC<\/strong><\/a>, <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/management-cat-exam\/\"><strong>CAT<\/strong><\/a>, <a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/mat-exam-pattern\/\"><strong>MAT<\/strong><\/a>, <a href=\"https:\/\/leverageedu.com\/tests\/gmat-exam\/\"><strong>GMAT<\/strong><\/a>, <strong>GRE<\/strong>, and various professional certification tests where data interpretation and statistical analysis are assessed.<\/p>\n\n\n\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-definition-of-frequency-polygon\">Definition of Frequency Polygon<\/h2>\n\n\n\n<p>A frequency polygon is a graphical representation of a frequency distribution, showcasing how data points are spread across different intervals. It is constructed by plotting points above the midpoints of each class interval, corresponding to the frequency of each interval, and then connecting these points with straight lines. Important terms related to frequency polygons include:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  style=\"width:563px;height:auto\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXc_eDK8cNzsyQzaswWQQV2aMQq9LoiPf3OEehB1N4sHcPMBUPUSB1cN2P9tjeH_YPgGOueC2ju21_1MVfsYaCUmGR1ex--Kc2n6qfRNH-KURdbmOvAPEr7YsC2rt9LKKKLiwNH7HmD652FOWMF6_ZTL2Qg7?key=Ijew_xNeYySbFZU6X1FSrg\" ><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Class Interval: The range of data values divided into intervals.<\/li>\n\n\n\n<li>Midpoint: The central value of each class interval, calculated as the average of the upper and lower boundaries.<\/li>\n\n\n\n<li>Frequency: The number of data points within each class interval.<\/li>\n\n\n\n<li>Frequency Distribution Table: A table that displays the frequency of data points for each class interval.<\/li>\n\n\n\n<li>Continuous Data: Data that can take any value within a given range.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-steps-to-draw-frequency-polygon\">Steps to Draw Frequency Polygon<\/h2>\n\n\n\n<p>To draw a frequency polygon, follow these steps:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  style=\"width:503px;height:auto\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXdtNQMPpcGUuOewDW7UFOkizPUcaS_QUZK9caHzYQhOxowyQLnzG9FI9i2tBH9G6U-DlfTNr83zczJlPHTV8Zfovk64m894Q0aUlxVnhQp0Qu51JElpjB6iwp-fmD2UcTHNqTllfwmjB-m2_f91M_nAHm4?key=Ijew_xNeYySbFZU6X1FSrg\" ><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>Arrange your data into a frequency distribution table, listing class intervals and their corresponding frequencies.<\/li>\n\n\n\n<li>Calculate the midpoint of each class interval. The midpoint is the average of the upper and lower boundaries of the interval.<\/li>\n\n\n\n<li>On a graph, plot points where the x-axis represents the midpoints and the y-axis represents the frequencies of each class interval.<\/li>\n\n\n\n<li>Connect the plotted points with straight lines. To close the polygon, extend lines to the x-axis at the midpoints of the intervals immediately before the first class and after the last class, which are often set to zero frequency.<\/li>\n\n\n\n<li>Ensure the x-axis and y-axis are properly labeled with appropriate titles and scales.<\/li>\n<\/ul>\n\n\n\n<p>By following these steps, you can effectively create a frequency polygon that visually represents the distribution of your data.<\/p>\n\n\n\n<p class=\"has-text-align-center has-electric-grass-gradient-background has-background has-medium-font-size\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-find-the-area-of-the-shaded-region\/\"><strong>Find the Area of the Shaded Region: Square, Rectangle, Circle and Triangle<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-properties-of-frequency-polygon-with-formulas\">Properties of Frequency Polygon With Formulas<\/h2>\n\n\n\n<p>A frequency polygon has several key properties and associated formulas that help in understanding the distribution of data. Here are the important properties along with relevant formulas.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Visual Representation: A frequency polygon provides a clear visual representation of the distribution of data, making it easy to identify trends, patterns, and outliers.<\/li>\n\n\n\n<li>Comparison: It is useful for comparing multiple datasets on the same graph, allowing for easy comparison of different distributions.<\/li>\n\n\n\n<li>Midpoints: Points are plotted at the midpoints of each class interval, providing a precise representation of the data distribution within each interval.<\/li>\n\n\n\n<li>Connection of Points: Points are connected by straight lines, forming a polygon that helps to visualize the shape and spread of the data.<\/li>\n\n\n\n<li>Closure to Axes: To complete the polygon, lines are often drawn from the first and last points to the x-axis, creating a closed figure.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-formulas\">Formulas<\/h3>\n\n\n\n<p><strong>Midpoint Calculation<\/strong>:<br><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Midpoint = Lower Boundary + Upper Boundary \/ 2<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><br>This formula calculates the midpoint for each class interval, where the lower and upper boundaries are the limits of the class interval.<\/p>\n\n\n\n<p><strong>Frequency Density<\/strong> (if class intervals are of different widths):<br><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Frequency Density = Frequency \/ Class Width<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><br>This formula adjusts the frequency for class intervals of different widths, ensuring that the area under the frequency polygon accurately represents the data.<\/p>\n\n\n\n<p><strong>Cumulative Frequency<\/strong> (for cumulative frequency polygons or ogives):<br><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Cumulative Frequency = \u2211Frequency of All Previous Classes<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><br>This formula calculates the cumulative frequency for each class interval by summing the frequencies of all previous intervals.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-example-of-creating-a-frequency-polygon\">Example of Creating a Frequency Polygon<\/h3>\n\n\n\n<p>Several examples for creating a frequency polygon are mentioned below:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Data Organization<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Class Intervals: 0-10, 10-20, 20-30, 30-40<\/li>\n\n\n\n<li>Frequencies: 5, 10, 7, 3<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Midpoint Calculation<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Midpoints: 5, 15, 25, 35<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Plot Points<\/strong>:\n<ul class=\"wp-block-list\">\n<li>(5, 5), (15, 10), (25, 7), (35, 3)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Connect Points<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Connect the points with straight lines.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Closure to Axes<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Extend lines from (5, 5) to (0, 0) and from (35, 3) to (40, 0) to complete the polygon.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-electric-grass-gradient-background has-background has-medium-font-size\"><strong>Also Read: <\/strong><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-questions-of-venn-diagrams-reasoning\/\"><strong>10+ Questions of Venn Diagrams<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-properties-of-frequency-polygon-with-solved-examples\">Properties of Frequency Polygon With Solved Examples<\/h2>\n\n\n\n<p>Here, we will explore the properties of Frequency Polygon formulas and provide some solved examples.<\/p>\n\n\n\n<p><strong>Example 1: Heights of Students<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Height (cm)<\/strong><\/td><td><strong>Number of Students<\/strong><\/td><\/tr><tr><td>140-145<\/td><td>5<\/td><\/tr><tr><td>145-150<\/td><td>12<\/td><\/tr><tr><td>150-155<\/td><td>20<\/td><\/tr><tr><td>155-160<\/td><td>18<\/td><\/tr><tr><td>160-165<\/td><td>8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calculate the midpoints: 142.5, 147.5, 152.5, 157.5, 162.5.<\/li>\n\n\n\n<li>Plot the points (142.5, 5), (147.5, 12), (152.5, 20), (157.5, 18), (162.5, 8).<\/li>\n\n\n\n<li>Connect the points with line segments.<\/li>\n\n\n\n<li>Extend the line segments to meet the x-axis at 137.5 and 167.5.<\/li>\n<\/ol>\n\n\n\n<p><strong>Example 2: The frequency polygon of a frequency distribution is shown below.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  style=\"width:576px;height:auto\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXeVD9G-CMlplHn5uEVIQSOTaMCFcUy1fJIr15QNkdAyH_SgY4rhTbZGyWoWTRlQSCqiqx2u8KCVdFxfZOPytM3X_9aGhp7Wm8UTafksl5v47fS7q3H2MwEqHAQXMcreUkX0UlHAbg54REHc1KaiUWpdsZ4X?key=Ijew_xNeYySbFZU6X1FSrg\" ><\/figure>\n<\/div>\n\n\n<p>Answer the following about the distribution from the histogram.<\/p>\n\n\n\n<p><strong>(i) What is the frequency of the class interval whose class mark is 15?<\/strong><\/p>\n\n\n\n<p><strong>(ii) What is the class interval whose class mark is 45?<\/strong><\/p>\n\n\n\n<p><strong>(iii) Construct a frequency table for the distribution.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) 18<\/p>\n\n\n\n<p>(ii) 40 \u2013 50<\/p>\n\n\n\n<p>(iii) As the class marks of consecutive overlapping class intervals are 5, 15, 25, 35, 45, 55 we find the class intervals are 0 \u2013 10, 10 \u2013 20, 20 \u2013 30, 30 \u2013 40, 40 \u2013 50, 50 \u2013 60. Therefore, the frequency table is constructed as below.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><strong>Class Interval<\/strong><\/td><td><strong>Frequency<\/strong><\/td><\/tr><tr><td>0 &#8211; 10<\/td><td>10<\/td><\/tr><tr><td>10 &#8211; 20<\/td><td>18<\/td><\/tr><tr><td>20 &#8211; 30<\/td><td>14<\/td><\/tr><tr><td>30 &#8211; 40<\/td><td>26<\/td><\/tr><tr><td>40 &#8211; 50<\/td><td>8<\/td><\/tr><tr><td>50 &#8211; 60<\/td><td>18<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example 3: The following frequency polygon displays the weekly incomes of laborers of a factory.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img  decoding=\"async\"  src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAAA1BMVEUAAP+KeNJXAAAAAXRSTlMAQObYZgAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAApJREFUCNdjYAAAAAIAAeIhvDMAAAAASUVORK5CYII=\"  alt=\"\"  style=\"width:563px;height:auto\"  class=\" pk-lazyload\"  data-pk-sizes=\"auto\"  data-pk-src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXfqBREB6sJFvq9vVnjwrIrplAfmUOe_J8DAHJLeXvT9gNmqhQzjmSlIRQWoxPLEq9a9Ou4TO13jnPmA0s-XE1htx-kYDRaVkReUjehrz0MBdiqvz89TT4AR7CJbXrxiNTCJxY8cylQLmhq9OGwOcandMoo?key=Ijew_xNeYySbFZU6X1FSrg\" ><\/figure>\n<\/div>\n\n\n<p>Answer the following.<\/p>\n\n\n\n<p><strong>(i) Find the class interval whose frequency is 25.<\/strong><\/p>\n\n\n\n<p><strong>(ii) How many labourers have a weekly income of at least $ 500 but not more than $ 700?<\/strong><\/p>\n\n\n\n<p><strong>(iii) What is the range of weekly income of the largest number of labourers?<\/strong><\/p>\n\n\n\n<p><strong>(iv) Prepare the frequency distribution table.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>(i) The frequency 25 corresponds to the class mark 800.<\/p>\n\n\n\n<p>The common width of class intervals = 400 &#8211; 200 = 200<\/p>\n\n\n\n<p>So, the class interval is (800 &#8211; 200\/2) &#8211; (800 + 200\/2), i.e., 700-900<\/p>\n\n\n\n<p>(ii) The number of labourers has to fall in the class interval 500 \u2013 700 whose class mark is 600. The frequency corresponding to the class mark 600 is 20. Hence, the required number of labourers is 20.<\/p>\n\n\n\n<p>(iii) The largest number of labourers belong to the class interval whose class mark is 400. The corresponding class interval is (400 &#8211; 200\/2) \u2013 (400 + 200\/2), i.e., (300 \u2013 500). So, the largest numbers of labourers have a weekly income of at least $ 300 but less than $ 500.<\/p>\n\n\n\n<p>(iv)&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><strong>Weekly Income (in $)<\/strong><\/td><td><strong>No. of Labours<\/strong><\/td><\/tr><tr><td>100 &#8211; 300<\/td><td>30<\/td><\/tr><tr><td>300 &#8211; 500<\/td><td>40<\/td><\/tr><tr><td>500 &#8211; 700<\/td><td>20<\/td><\/tr><tr><td>700 &#8211; 900<\/td><td>25<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\">FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1722315137662\"><strong class=\"schema-faq-question\">What is the difference between a histogram and a frequency polygon?<\/strong> <p class=\"schema-faq-answer\">Histogram uses bars while frequency polygon uses lines.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1722315145959\"><strong class=\"schema-faq-question\">Why use midpoints for plotting points in a frequency polygon?<\/strong> <p class=\"schema-faq-answer\">We use midpoints for plotting points in a frequency polygon since it represents entire class interval with a single point.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1722315154090\"><strong class=\"schema-faq-question\">How to extend line segments at the ends of a frequency polygon?<\/strong> <p class=\"schema-faq-answer\">Extend to midpoints of preceding and succeeding class intervals, touching the x-axis.<\/p> <\/div> <\/div>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-adc4b1619be72b19c4386dda21667032\"><strong>RELATED BLOGS<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-faces-edges-and-vertices\/\"><strong>Vertices, Faces And Edges<\/strong><\/a><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-perimeter-of-rectangle\/\"><strong>Perimeter of Rectangle<\/strong><\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/study-material\/maths\/basic-concepts-surface-area-of-prism\/\"><strong>Surface Area of Prism<\/strong><\/a><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-area-of-rectangle\/\"><strong>Area of Rectangle<\/strong><\/a><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-surface-area-of-a-cuboid\/\"><strong>Surface Area of a Cuboid<\/strong><\/a><br><\/td><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/leverageedu.com\/discover\/school-education\/basic-concepts-maths-shapes\/\"><strong>Different Maths Shapes <\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>This was all about \u201c<strong>Frequecy Polygon<\/strong>\u201d. For more such informative blogs, check out our<a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/study-material\/\"> Study Material Section<\/a>, or you can learn more about us by visiting our<a href=\"https:\/\/leverageedu.com\/discover\/category\/indian-exams\/\">&nbsp; Indian exams<\/a> page.<\/p>\n","protected":false},"excerpt":{"rendered":"A frequency polygon is a graphical representation used to understand the distribution of a dataset. It involves plotting&hellip;\n","protected":false},"author":115,"featured_media":838602,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[369,476,396],"tags":[],"class_list":{"0":"post-838599","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-indian-exams","8":"category-maths","9":"category-study-material"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Frequency Polygon: Definition, Steps and Solved Examples - Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"Read this article on Frequency Polygon.Learn more about it&#039;s definition,steps and solved examples in detail .\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-frequency-polygon\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Frequency Polygon: Definition, Steps and Solved Examples\" \/>\n<meta property=\"og:description\" content=\"Read this article on Frequency Polygon.Learn more about it&#039;s definition,steps and solved examples in detail .\" \/>\n<meta property=\"og:url\" content=\"https:\/\/leverageedu.com\/discover\/indian-exams\/exam-prep-frequency-polygon\/\" \/>\n<meta property=\"og:site_name\" content=\"Leverage Edu Discover\" \/>\n<meta property=\"article:published_time\" content=\"2024-07-30T04:57:45+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogassets.leverageedu.com\/media\/uploads\/sites\/9\/2024\/07\/15074920\/Frequency-Polygon.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"640\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Mohit Rajak\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mohit Rajak\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Frequency Polygon: Definition, Steps and Solved Examples - 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I find peace and purpose in crafting verses that dance between the lines of poetry. With my pen as my wand, I weave intricate tales and heartfelt musings, breathing life into the blank canvas of each page. Blogging is my window to the world way of sharing thoughts, emotions, and a perspective uniquely my own. 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