{"id":2571,"date":"2023-04-24T10:00:56","date_gmt":"2023-04-24T04:30:56","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=2571"},"modified":"2023-04-25T09:25:32","modified_gmt":"2023-04-25T03:55:32","slug":"frequency-polygon","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/frequency-polygon\/","title":{"rendered":"What is the Frequency Polygon"},"content":{"rendered":"<h2><strong>What is the Frequency Polygon<\/strong><\/h2>\n<p>A frequency <a href=\"https:\/\/www.aplustopper.com\/polygons\/\">polygon<\/a> is the polygon obtained by joining the mid-points of upper horizontal sides of all the rectangles in a <a href=\"https:\/\/www.aplustopper.com\/bar-graphs-histograms-related\/\"><strong>histogram<\/strong><\/a>.<\/p>\n<p><strong>Construction of a frequency polygon with Histogram.<\/strong><\/p>\n<ol>\n<li>Obtain the frequency distribution and draw a histogram representing it.<\/li>\n<li>Obtain the mid-points of the upper horizontal side of each rectangle.<\/li>\n<li>Join these mid-points of the adjacent rectangles of the histogram by dotted line segments.<\/li>\n<li>Obtain the mid-points of two class-intervals of zero frequency i.e. on X-axis, one adjacent to the first, on its left and one adjacent to the last, on its right.These class-intervals are known as imagined class intervals.<\/li>\n<li>Complete the polygon by joining the mid-points of first and last class intervals to the mid-points of imagined class-intervals adjacent to them.<\/li>\n<\/ol>\n<p><strong>Read More:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/www.aplustopper.com\/bar-graphs-histograms-related\/\">How are Bar Graphs and Histograms Related<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/mean-advantages-disadvantages\/\">Mean and its Advantages and Disadvantages<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/calculate-median-grouped-frequency-distribution\/\">Median of Grouped Frequency Distribution<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/mode-statistics\/\">Mode in Statistics<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/pie-charts-rs-aggarwal-class-6-solutions\/\">Pie Charts<\/a><\/li>\n<li><a href=\"https:\/\/www.aplustopper.com\/bar-graph-statistics\/\">Bar Graph in Statistics<\/a><\/li>\n<\/ul>\n<p><strong>Construction of a frequency polygon without using a histogram<\/strong><\/p>\n<ol>\n<li>Obtain the frequency distribution.<\/li>\n<li>Compute the mid-points of class intervals\u00a0<span style=\"line-height: 1.5;\">i.e. class marks.<\/span><\/li>\n<li>Represent class marks on X-axis on a suitable scale.<\/li>\n<li>Represent frequencies on Y-axis on a suitable scale.<\/li>\n<li>Plot the points (x<sub>i<\/sub>,f<sub>i<\/sub>) where x<sub>i<\/sub> denotes class mark and f<sub>i<\/sub> corresponding frequency.<\/li>\n<li>Join the points plotted in step V by line segments.<\/li>\n<li>Take two class intervals of zero frequency, one at the begining and the other at the end. Obtain their mid-points.These classes are known as imagined classes.<\/li>\n<li>Complete the frequency polygon by joining the mid-points of first and last class intervals to the mid-points of the imagined classes adjacent to them.<\/li>\n<\/ol>\n<h2><strong>Frequency Polygon Example Problems with Solutions<\/strong><\/h2>\n<p><strong>Example 1: \u00a0 \u00a0<\/strong>For the following data, draw a histogram and a frequency polygon :<\/p>\n<table style=\"height: 641px;\" border=\"2\" width=\"293\">\n<tbody>\n<tr>\n<td width=\"112\">\n<p style=\"text-align: center;\"><strong>Marks :<\/strong><\/p>\n<\/td>\n<td width=\"117\">\n<p style=\"text-align: center;\"><strong>No. of students :<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"112\">\n<p style=\"text-align: center;\">0-10<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"117\">5<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"112\">10-20<\/td>\n<td width=\"117\">\n<p style=\"text-align: center;\">10<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"112\">\n<p style=\"text-align: center;\">20-30<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"117\">4<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"112\">30-40<\/td>\n<td width=\"117\">\n<p style=\"text-align: center;\">6<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"112\">\n<p style=\"text-align: center;\">40-50<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"117\">7<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"112\">50-60<\/td>\n<td width=\"117\">\n<p style=\"text-align: center;\">3<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"112\">\n<p style=\"text-align: center;\">60-70<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"117\">2<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"112\">70-80<\/td>\n<td width=\"117\">\n<p style=\"text-align: center;\">2<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"112\">\n<p style=\"text-align: center;\">80-90<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"117\">3<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"112\">90-100<\/td>\n<td width=\"117\">\n<p style=\"text-align: center;\">9<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Solution: \u00a0 \u00a0<\/strong>In Fig. a histogram and a frequency polygon (in dotted lines) are drawn on the same scale.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120598\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-1.png\" alt=\"What is the Frequency Polygon 1\" width=\"438\" height=\"325\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-1.png 438w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-1-300x223.png 300w\" sizes=\"(max-width: 438px) 100vw, 438px\" \/><\/p>\n<p><strong>Example 2: \u00a0 \u00a0<\/strong>Construct a frequency polygon for the following data :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120599\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-2.png\" alt=\"What is the Frequency Polygon 2\" width=\"372\" height=\"306\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-2.png 372w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-2-300x247.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><br \/>\n<strong>Solution: \u00a0 \u00a0<\/strong>First we obtain the class marks as given in the following table.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120600\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-3.png\" alt=\"What is the Frequency Polygon 3\" width=\"378\" height=\"314\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-3.png 378w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-3-300x249.png 300w\" sizes=\"(max-width: 378px) 100vw, 378px\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120601\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-4.png\" alt=\"What is the Frequency Polygon 4\" width=\"469\" height=\"333\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-4.png 469w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-4-300x213.png 300w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><\/p>\n<p><strong>Example 3: \u00a0 \u00a0<\/strong>Prepare frequency polygon with the help of histogram from the following data :<\/p>\n<table style=\"height: 84px;\" border=\"2\" width=\"526\">\n<tbody>\n<tr>\n<td width=\"59\">\n<p style=\"text-align: center;\"><strong>Classes<\/strong><\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"37\">0-6<\/td>\n<td style=\"text-align: center;\" width=\"43\">6-12<\/td>\n<td style=\"text-align: center;\" width=\"43\">12-18<\/td>\n<td style=\"text-align: center;\" width=\"44\">18-24<\/td>\n<td style=\"text-align: center;\" width=\"44\">24-30<\/td>\n<td style=\"text-align: center;\" width=\"43\">30-36<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"59\"><strong>Frequencies <\/strong><\/td>\n<td style=\"text-align: center;\" width=\"37\">4<\/td>\n<td style=\"text-align: center;\" width=\"43\">8<\/td>\n<td style=\"text-align: center;\" width=\"43\">15<\/td>\n<td style=\"text-align: center;\" width=\"44\">20<\/td>\n<td style=\"text-align: center;\" width=\"44\">12<\/td>\n<td width=\"43\">\n<p style=\"text-align: center;\">6<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Solution: \u00a0 \u00a0<\/strong>We plot the classes (-6-0), (0-6), (6-12), (12-18), (18-24), (24-30), (30-36) and (36-42) along the x-axis. The frequencies of these classes are respectively, 0, 4, 8, 15, 20, 12, 6 and 0. These frequencies are plotted along the y-axis.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120602\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-5.png\" alt=\"What is the Frequency Polygon 5\" width=\"385\" height=\"256\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-5.png 385w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-5-300x199.png 300w\" sizes=\"(max-width: 385px) 100vw, 385px\" \/><br \/>\nAfter drawing the histogram for the data, we join the mid-points of the top sides of the rectangles of the histogram. The frequency polygon is made with dotted line segments.<\/p>\n<p><strong>Example 4: \u00a0 \u00a0<\/strong>Draw frequency polygon for the data given below, without drawing histogram :<\/p>\n<table style=\"height: 99px;\" border=\"2\" width=\"653\">\n<tbody>\n<tr>\n<td width=\"59\">\n<p style=\"text-align: center;\"><strong>Classes<\/strong><\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"40\">140-150<\/td>\n<td style=\"text-align: center;\" width=\"43\">150-160<\/td>\n<td style=\"text-align: center;\" width=\"43\">160-170<\/td>\n<td style=\"text-align: center;\" width=\"44\">170-180<\/td>\n<td style=\"text-align: center;\" width=\"44\">180-190<\/td>\n<td style=\"text-align: center;\" width=\"40\">190-200<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"59\"><strong>Frequencies <\/strong><\/td>\n<td style=\"text-align: center;\" width=\"40\">5<\/td>\n<td style=\"text-align: center;\" width=\"43\">10<\/td>\n<td style=\"text-align: center;\" width=\"43\">20<\/td>\n<td style=\"text-align: center;\" width=\"44\">9<\/td>\n<td style=\"text-align: center;\" width=\"44\">6<\/td>\n<td width=\"40\">\n<p style=\"text-align: center;\">2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Solution: \u00a0 \u00a0<\/strong>We have the classes\u00a0130-140, 140-150, 150-160, 160-170, 170-180, 180-190, 190-200, 200-210 having frequencies 0, 5, 10, 20, 9, 6, 2, 0 respectively.<br \/>\nThe class marks of the classes are<br \/>\n\\(\\frac { 130+140 }{ 2 } =135,\\frac { 140+150 }{ 2 } =145,&#8230;.,\\frac { 200+210 }{ 2 } =205\\)<br \/>\nrespectively.<br \/>\nWe take class marks along x-axis and the frequencies along y-axis.<br \/>\nWe plot the points (135, 0), (145, 5), (155, 10), (165, 20), (175, 9), (185, 6), (195, 2) and (205, 0). Now, we joint these points and get the required frequency polygon ABCDEFGH as in figure.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120603\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-6.png\" alt=\"What is the Frequency Polygon 6\" width=\"434\" height=\"306\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-6.png 434w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-6-300x212.png 300w\" sizes=\"(max-width: 434px) 100vw, 434px\" \/><\/p>\n<p><strong>Example 5: \u00a0 \u00a0<\/strong>Ages (in years) of the members of two sports clubs were recorded and the data collected is as under.<strong>\u00a0 \u00a0\u00a0\u00a0 <\/strong><\/p>\n<table style=\"height: 252px;\" border=\"2\" width=\"691\">\n<tbody>\n<tr>\n<td width=\"101\">\n<p style=\"text-align: center;\"><strong>Age (in years)<\/strong><\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"81\"><strong>Number of members of Club A<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"79\"><strong>Number of members of Club B<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"101\">\n<p style=\"text-align: center;\">20-29<\/p>\n<p style=\"text-align: center;\">30-39<\/p>\n<p style=\"text-align: center;\">40-49<\/p>\n<p style=\"text-align: center;\">50-59<\/p>\n<p style=\"text-align: center;\">60-69<\/p>\n<p style=\"text-align: center;\">70-79<\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"81\">5<\/p>\n<p>10<\/p>\n<p>15<\/p>\n<p>10<\/p>\n<p>20<\/p>\n<p>5<\/td>\n<td width=\"79\">\n<p style=\"text-align: center;\">10<\/p>\n<p style=\"text-align: center;\">15<\/p>\n<p style=\"text-align: center;\">10<\/p>\n<p style=\"text-align: center;\">5<\/p>\n<p style=\"text-align: center;\">10<\/p>\n<p style=\"text-align: center;\">15<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"101\">Total<\/td>\n<td style=\"text-align: center;\" width=\"81\">65<\/td>\n<td width=\"79\">\n<p style=\"text-align: center;\">65<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Represent the ages of the members of the sports clubs A and B on the same graph by two frequency polygons. Compare the pattern of the two clubs according to ages of the members. <strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<p><strong>Solution: \u00a0 \u00a0<\/strong>The class marks of the classes\u00a020-29, 30-39, 40-49, 50-59, 60-69, 70-79 are 24.5, 34.5, 44.5, 54.5, 64.5, 74.5 respectively. The corresponding frequencies for clubs A and B are 5, 10, 15, 10, 20, 5 ; 10, 15, 10, 5, 10, 15 respectively.<br \/>\nFor the club A, the frequency polygon is drawn by joining the points (14.5, 0), (24.5, 5), (34.5, 10), (44.5, 15), (54.5, 10), (64.5, 20), (74.5, 5), (84.5, 0).<br \/>\nFor the club B, the frequency polygon is drawn by joining the points (14.5, 0), (24.5, 10), (34.5, 15), (44.5, 10), (54.5, 5), (64.5, 10), (74.5, 15,), (84.5, 0).<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120604\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-7.png\" alt=\"What is the Frequency Polygon 7\" width=\"470\" height=\"336\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-7.png 470w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-7-300x214.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><br \/>\nWe observe that the club B is more youthful in comparison to club A.<\/p>\n<p><strong>Example 6: \u00a0 \u00a0<\/strong>The following table gives the distribution of students of two sections according to the marks obtained by them. <strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n<table border=\"2\">\n<tbody>\n<tr>\n<td colspan=\"2\" width=\"161\">\n<p style=\"text-align: center;\"><strong>Section A<\/strong><\/p>\n<\/td>\n<td style=\"text-align: center;\" colspan=\"2\" width=\"161\"><strong>Section B<\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"80\">\n<p style=\"text-align: center;\"><strong>Marks<\/strong><\/p>\n<\/td>\n<td style=\"text-align: center;\" width=\"80\"><strong>Frequency<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"80\"><strong>Marks<\/strong><\/td>\n<td width=\"80\">\n<p style=\"text-align: center;\"><strong>Frequency<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\" width=\"80\">0-10<\/p>\n<p>10-20<\/p>\n<p>20-30<\/p>\n<p>30-40<\/p>\n<p>40-50<\/td>\n<td style=\"text-align: center;\" width=\"80\">3<\/p>\n<p>9<\/p>\n<p>17<\/p>\n<p>12<\/p>\n<p>9<\/td>\n<td style=\"text-align: center;\" width=\"80\">0-10<\/p>\n<p>10-20<\/p>\n<p>20-30<\/p>\n<p>30-40<\/p>\n<p>40-50<\/td>\n<td width=\"80\">\n<p style=\"text-align: center;\">5<\/p>\n<p style=\"text-align: center;\">19<\/p>\n<p style=\"text-align: center;\">15<\/p>\n<p style=\"text-align: center;\">10<\/p>\n<p style=\"text-align: center;\">1<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two section.<br \/>\n<strong>Solution: \u00a0 \u00a0<\/strong>Class marks for section A are : 5, 15, 25, 35, 45 and corresponding frequencies as 3, 9, 17, 12, 9 respectively.<br \/>\nIts frequency polygon is the join of the points (by line segments) (-5, 0), (5, 3), (15, 9), (25, 17), (35, 12), (45, 9) and (60, 0).<br \/>\nSimilarly for the section B, the frequency polygon is the join of the points (-5, 0),<br \/>\n(5, 5), (15, 19), (25, 15), (35, 10), (45, 1) and (60, 0).<br \/>\nWe draw the two frequency polygon :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120605\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-8.png\" alt=\"What is the Frequency Polygon 8\" width=\"446\" height=\"484\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-8.png 446w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-8-276x300.png 276w\" sizes=\"(max-width: 446px) 100vw, 446px\" \/><\/p>\n<p><strong>Example 7: \u00a0 \u00a0<\/strong>Make a histogram and a frequency polygon from the given data :<\/p>\n<table style=\"height: 194px;\" border=\"2\" width=\"228\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\" width=\"58\"><strong>Marks<\/strong><\/td>\n<td style=\"text-align: center;\" width=\"102\"><strong>No. of students<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">30-40<\/td>\n<td style=\"text-align: center;\">12<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">40-50<\/td>\n<td style=\"text-align: center;\">18<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">50-60<\/td>\n<td style=\"text-align: center;\">26<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">60-70<\/td>\n<td style=\"text-align: center;\">16<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">70-80<\/td>\n<td style=\"text-align: center;\">10<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">80-90<\/td>\n<td style=\"text-align: center;\">6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Solution: \u00a0 \u00a0<\/strong>The frequency polygon has been shown by dotted lines<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-120606\" src=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-9.png\" alt=\"What is the Frequency Polygon 9\" width=\"383\" height=\"317\" srcset=\"https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-9.png 383w, https:\/\/www.aplustopper.com\/wp-content\/uploads\/2016\/09\/What-is-the-Frequency-Polygon-9-300x248.png 300w\" sizes=\"(max-width: 383px) 100vw, 383px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the Frequency Polygon A frequency polygon is the polygon obtained by joining the mid-points of upper horizontal sides of all the rectangles in a histogram. Construction of a frequency polygon with Histogram. Obtain the frequency distribution and draw a histogram representing it. Obtain the mid-points of the upper horizontal side of each rectangle. [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[5],"tags":[1119,1118],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v17.8) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What is the Frequency Polygon - A Plus Topper<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aplustopper.com\/frequency-polygon\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is the Frequency Polygon\" \/>\n<meta property=\"og:description\" content=\"What is the Frequency Polygon A frequency polygon is the polygon obtained by joining the mid-points of upper horizontal sides of all the rectangles in a histogram. Construction of a frequency polygon with Histogram. Obtain the frequency distribution and draw a histogram representing it. Obtain the mid-points of the upper horizontal side of each rectangle. 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