{"id":655,"date":"2021-08-13T15:24:37","date_gmt":"2021-08-13T15:24:37","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=655"},"modified":"2022-01-18T20:31:26","modified_gmt":"2022-01-18T20:31:26","slug":"histograms-frequency-polygons-and-time-series-graphs-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/histograms-frequency-polygons-and-time-series-graphs-2\/","title":{"raw":"Frequency Polygons","rendered":"Frequency Polygons"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul id=\"list123523\">\r\n \t<li>Construct a frequency polygon<\/li>\r\n<\/ul>\r\n<\/div>\r\n<strong>Frequency polygons<\/strong> are analogous to line graphs, and just as line graphs make continuous data visually easy to interpret, so too do frequency polygons.\r\n\r\nTo construct a frequency polygon, first examine the data and decide on the number of intervals, or class intervals, to use on the [latex]x[\/latex]-axis and [latex]y[\/latex]-axis. After choosing the appropriate ranges, begin plotting the data points. After all the points are plotted, draw line segments to connect them.\r\n<div id=\"fs-idm37683552\" class=\"note statistics try ui-has-child-title\" data-type=\"note\" data-has-label=\"true\" data-label=\"\"><header>\r\n<div class=\"title\" data-label-parent=\"\" data-type=\"title\">\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\n<div id=\"example4\" class=\"example\" data-type=\"example\">\r\n\r\nA frequency polygon was constructed from the <strong>frequency table<\/strong> below.\r\n<table id=\"fs-idp57619648\" summary=\"\">\r\n<thead>\r\n<tr>\r\n<th colspan=\"4\">Frequency Distribution for Calculus Final Test Scores<\/th>\r\n<\/tr>\r\n<tr>\r\n<th>Lower Bound<\/th>\r\n<th>Upper Bound<\/th>\r\n<th>Frequency<\/th>\r\n<th>Cumulative Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>[latex]49.5[\/latex]<\/td>\r\n<td>[latex]59.5[\/latex]<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]59.5[\/latex]<\/td>\r\n<td>[latex]69.5[\/latex]<\/td>\r\n<td>[latex]10[\/latex]<\/td>\r\n<td>[latex]15[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]69.5[\/latex]<\/td>\r\n<td>[latex]79.5[\/latex]<\/td>\r\n<td>[latex]30[\/latex]<\/td>\r\n<td>[latex]45[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]79.5[\/latex]<\/td>\r\n<td>[latex]89.5[\/latex]<\/td>\r\n<td>[latex]40[\/latex]<\/td>\r\n<td>[latex]85[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]89.5[\/latex]<\/td>\r\n<td>[latex]99.5[\/latex]<\/td>\r\n<td>[latex]15[\/latex]<\/td>\r\n<td>[latex]100[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n<figure id=\"eip-idm19499056\"><span id=\"fs-idm4822176\" data-type=\"media\" data-display=\"block\" data-alt=\"A frequency polygon was constructed from the frequency table below.\"> <\/span><\/figure>\r\n<img class=\"wp-image-141 size-full aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/06\/08184601\/40569b7261ace9678b7549e61e36a7b4373fd36f.jpeg\" alt=\"A frequency polygon was constructed from the frequency table below.\" width=\"487\" height=\"368\" \/>\r\n\r\nThe first label on the [latex]x[\/latex]-axis is [latex]44.5[\/latex]. This represents an interval extending from [latex]39.5[\/latex] to [latex]49.5[\/latex]. Since the lowest test score is [latex]54.5[\/latex], this interval is used only to allow the graph to touch the [latex]x[\/latex]-axis. The point labeled [latex]54.5[\/latex] represents the next interval, or the first \u201creal\u201d interval from the table, and contains five scores. This reasoning is followed for each of the remaining intervals with the point [latex]104.5[\/latex] representing the interval from [latex]99.5[\/latex] to [latex]109.5[\/latex]. Again, this interval contains no data and is only used so that the graph will touch the [latex]x[\/latex]-axis. Looking at the graph, we say that this distribution is skewed because one side of the graph does not mirror the other side.\r\n\r\n<\/div>\r\n<div id=\"fs-idm37683552\" class=\"note statistics try ui-has-child-title\" data-type=\"note\" data-has-label=\"true\" data-label=\"\"><\/div>\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<div id=\"fs-idm37683552\" class=\"note statistics try ui-has-child-title\" data-type=\"note\" data-has-label=\"true\" data-label=\"\"><header>\r\n<div class=\"title\" data-label-parent=\"\" data-type=\"title\">\r\n<h3>Try It<\/h3>\r\n<\/div>\r\n<\/header>\r\n<div id=\"eip-idp12732512\" class=\"exercise\" data-type=\"exercise\">\r\n<div id=\"eip-idp12732768\" class=\"problem\" data-type=\"problem\">\r\n\r\nConstruct a frequency polygon of U.S. Presidents\u2019 ages at inauguration shown in the table.\r\n<table id=\"fs-idp36852784\" summary=\"\">\r\n<thead>\r\n<tr>\r\n<th>Age at Inauguration<\/th>\r\n<th>Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>[latex]41.5\u201346.5[\/latex]<\/td>\r\n<td>[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]46.5\u201351.5[\/latex]<\/td>\r\n<td>[latex]11[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]51.5\u201356.5[\/latex]<\/td>\r\n<td>[latex]14[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]56.5\u201361.5[\/latex]<\/td>\r\n<td>[latex]9[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]61.5\u201366.5[\/latex]<\/td>\r\n<td>[latex]4[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]66.5\u201371.5[\/latex]<\/td>\r\n<td>[latex]2[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\nFrequency polygons are useful for comparing distributions. This is achieved by overlaying the frequency polygons drawn for different data sets.\r\n\r\n<\/div>\r\n<\/header><\/div>\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\n<div id=\"fs-idp21707856\" class=\"example\" data-type=\"example\">\r\n\r\nWe will construct an overlay frequency polygon comparing the scores\u00a0with the students\u2019 final numeric grade.\r\n<table id=\"fs-idm10950720\" summary=\"\">\r\n<thead>\r\n<tr>\r\n<th colspan=\"4\">Frequency Distribution for Calculus Final Test Scores<\/th>\r\n<\/tr>\r\n<tr>\r\n<th>Lower Bound<\/th>\r\n<th>Upper Bound<\/th>\r\n<th>Frequency<\/th>\r\n<th>Cumulative Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>[latex]49.5[\/latex]<\/td>\r\n<td>[latex]59.5[\/latex]<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]59.5[\/latex]<\/td>\r\n<td>[latex]69.5[\/latex]<\/td>\r\n<td>[latex]10[\/latex]<\/td>\r\n<td>[latex]15[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]69.5[\/latex]<\/td>\r\n<td>[latex]79.5[\/latex]<\/td>\r\n<td>[latex]30[\/latex]<\/td>\r\n<td>[latex]45[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]79.5[\/latex]<\/td>\r\n<td>[latex]89.5[\/latex]<\/td>\r\n<td>[latex]40[\/latex]<\/td>\r\n<td>[latex]85[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]89.5[\/latex]<\/td>\r\n<td>[latex]99.5[\/latex]<\/td>\r\n<td>[latex]15[\/latex]<\/td>\r\n<td>[latex]100[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table id=\"fs-idp39914624\" summary=\"\">\r\n<thead>\r\n<tr>\r\n<th colspan=\"4\">Frequency Distribution for Calculus Final Grades<\/th>\r\n<\/tr>\r\n<tr>\r\n<th>Lower Bound<\/th>\r\n<th>Upper Bound<\/th>\r\n<th>Frequency<\/th>\r\n<th>Cumulative Frequency<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>[latex]49.5[\/latex]<\/td>\r\n<td>[latex]59.5[\/latex]<\/td>\r\n<td>[latex]10[\/latex]<\/td>\r\n<td>[latex]10[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]59.5[\/latex]<\/td>\r\n<td>[latex]69.5[\/latex]<\/td>\r\n<td>[latex]10[\/latex]<\/td>\r\n<td>[latex]20[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]69.5[\/latex]<\/td>\r\n<td>[latex]79.5[\/latex]<\/td>\r\n<td>[latex]30[\/latex]<\/td>\r\n<td>[latex]50[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]79.5[\/latex]<\/td>\r\n<td>[latex]89.5[\/latex]<\/td>\r\n<td>[latex]45[\/latex]<\/td>\r\n<td>[latex]95[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>[latex]89.5[\/latex]<\/td>\r\n<td>[latex]99.5[\/latex]<\/td>\r\n<td>[latex]5[\/latex]<\/td>\r\n<td>[latex]100[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<figure id=\"eip-id1165746871888\"><span id=\"fs-idm24364960\" data-type=\"media\" data-display=\"block\" data-alt=\"This is an overlay frequency polygon that matches the supplied data. The x-axis shows the grades, and the y-axis shows the frequency.\"> <\/span><\/figure>\r\n<img class=\"wp-image-145 size-full aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/06\/08184856\/0252376155055ef3702078b3cadf00ce5d5ce7771.jpeg\" alt=\"This is an overlay frequency polygon that matches the supplied data. The x-axis shows the grades, and the y-axis shows the frequency.\" width=\"487\" height=\"407\" \/>\r\n\r\n<\/div>\r\n<\/div>\r\nSuppose that we want to study the temperature range of a region for an entire month. Every day at noon we note the temperature and write this down in a log. A variety of statistical studies could be done with this data. We could find the mean or the median temperature for the month. We could construct a histogram displaying the number of days that temperatures reach a certain range of values. However, all of these methods ignore a portion of the data that we have collected.\r\n\r\nOne feature of the data that we may want to consider is that of time. Since each date is paired with the temperature reading for the day, we don\u2018t have to think of the data as being random. We can instead use the times given to impose a chronological order on the data. A graph that recognizes this ordering and displays the changing temperature as the month progresses is called a <strong>time series graph<\/strong>.","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul id=\"list123523\">\n<li>Construct a frequency polygon<\/li>\n<\/ul>\n<\/div>\n<p><strong>Frequency polygons<\/strong> are analogous to line graphs, and just as line graphs make continuous data visually easy to interpret, so too do frequency polygons.<\/p>\n<p>To construct a frequency polygon, first examine the data and decide on the number of intervals, or class intervals, to use on the [latex]x[\/latex]-axis and [latex]y[\/latex]-axis. After choosing the appropriate ranges, begin plotting the data points. After all the points are plotted, draw line segments to connect them.<\/p>\n<div id=\"fs-idm37683552\" class=\"note statistics try ui-has-child-title\" data-type=\"note\" data-has-label=\"true\" data-label=\"\">\n<header>\n<div class=\"title\" data-label-parent=\"\" data-type=\"title\">\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<div id=\"example4\" class=\"example\" data-type=\"example\">\n<p>A frequency polygon was constructed from the <strong>frequency table<\/strong> below.<\/p>\n<table id=\"fs-idp57619648\" summary=\"\">\n<thead>\n<tr>\n<th colspan=\"4\">Frequency Distribution for Calculus Final Test Scores<\/th>\n<\/tr>\n<tr>\n<th>Lower Bound<\/th>\n<th>Upper Bound<\/th>\n<th>Frequency<\/th>\n<th>Cumulative Frequency<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>[latex]49.5[\/latex]<\/td>\n<td>[latex]59.5[\/latex]<\/td>\n<td>[latex]5[\/latex]<\/td>\n<td>[latex]5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]59.5[\/latex]<\/td>\n<td>[latex]69.5[\/latex]<\/td>\n<td>[latex]10[\/latex]<\/td>\n<td>[latex]15[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]69.5[\/latex]<\/td>\n<td>[latex]79.5[\/latex]<\/td>\n<td>[latex]30[\/latex]<\/td>\n<td>[latex]45[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]79.5[\/latex]<\/td>\n<td>[latex]89.5[\/latex]<\/td>\n<td>[latex]40[\/latex]<\/td>\n<td>[latex]85[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]89.5[\/latex]<\/td>\n<td>[latex]99.5[\/latex]<\/td>\n<td>[latex]15[\/latex]<\/td>\n<td>[latex]100[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<figure id=\"eip-idm19499056\"><span id=\"fs-idm4822176\" data-type=\"media\" data-display=\"block\" data-alt=\"A frequency polygon was constructed from the frequency table below.\"> <\/span><\/figure>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-141 size-full aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/06\/08184601\/40569b7261ace9678b7549e61e36a7b4373fd36f.jpeg\" alt=\"A frequency polygon was constructed from the frequency table below.\" width=\"487\" height=\"368\" \/><\/p>\n<p>The first label on the [latex]x[\/latex]-axis is [latex]44.5[\/latex]. This represents an interval extending from [latex]39.5[\/latex] to [latex]49.5[\/latex]. Since the lowest test score is [latex]54.5[\/latex], this interval is used only to allow the graph to touch the [latex]x[\/latex]-axis. The point labeled [latex]54.5[\/latex] represents the next interval, or the first \u201creal\u201d interval from the table, and contains five scores. This reasoning is followed for each of the remaining intervals with the point [latex]104.5[\/latex] representing the interval from [latex]99.5[\/latex] to [latex]109.5[\/latex]. Again, this interval contains no data and is only used so that the graph will touch the [latex]x[\/latex]-axis. Looking at the graph, we say that this distribution is skewed because one side of the graph does not mirror the other side.<\/p>\n<\/div>\n<div id=\"fs-idm37683552\" class=\"note statistics try ui-has-child-title\" data-type=\"note\" data-has-label=\"true\" data-label=\"\"><\/div>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<div id=\"fs-idm37683552\" class=\"note statistics try ui-has-child-title\" data-type=\"note\" data-has-label=\"true\" data-label=\"\"><\/div>\n<\/div>\n<\/div>\n<\/header>\n<header>\n<div class=\"title\" data-label-parent=\"\" data-type=\"title\">\n<h3>Try It<\/h3>\n<\/div>\n<\/header>\n<div id=\"eip-idp12732512\" class=\"exercise\" data-type=\"exercise\">\n<div id=\"eip-idp12732768\" class=\"problem\" data-type=\"problem\">\n<p>Construct a frequency polygon of U.S. Presidents\u2019 ages at inauguration shown in the table.<\/p>\n<table id=\"fs-idp36852784\" summary=\"\">\n<thead>\n<tr>\n<th>Age at Inauguration<\/th>\n<th>Frequency<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>[latex]41.5\u201346.5[\/latex]<\/td>\n<td>[latex]4[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]46.5\u201351.5[\/latex]<\/td>\n<td>[latex]11[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]51.5\u201356.5[\/latex]<\/td>\n<td>[latex]14[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]56.5\u201361.5[\/latex]<\/td>\n<td>[latex]9[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]61.5\u201366.5[\/latex]<\/td>\n<td>[latex]4[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]66.5\u201371.5[\/latex]<\/td>\n<td>[latex]2[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>Frequency polygons are useful for comparing distributions. This is achieved by overlaying the frequency polygons drawn for different data sets.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<div id=\"fs-idp21707856\" class=\"example\" data-type=\"example\">\n<p>We will construct an overlay frequency polygon comparing the scores\u00a0with the students\u2019 final numeric grade.<\/p>\n<table id=\"fs-idm10950720\" summary=\"\">\n<thead>\n<tr>\n<th colspan=\"4\">Frequency Distribution for Calculus Final Test Scores<\/th>\n<\/tr>\n<tr>\n<th>Lower Bound<\/th>\n<th>Upper Bound<\/th>\n<th>Frequency<\/th>\n<th>Cumulative Frequency<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>[latex]49.5[\/latex]<\/td>\n<td>[latex]59.5[\/latex]<\/td>\n<td>[latex]5[\/latex]<\/td>\n<td>[latex]5[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]59.5[\/latex]<\/td>\n<td>[latex]69.5[\/latex]<\/td>\n<td>[latex]10[\/latex]<\/td>\n<td>[latex]15[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]69.5[\/latex]<\/td>\n<td>[latex]79.5[\/latex]<\/td>\n<td>[latex]30[\/latex]<\/td>\n<td>[latex]45[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]79.5[\/latex]<\/td>\n<td>[latex]89.5[\/latex]<\/td>\n<td>[latex]40[\/latex]<\/td>\n<td>[latex]85[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]89.5[\/latex]<\/td>\n<td>[latex]99.5[\/latex]<\/td>\n<td>[latex]15[\/latex]<\/td>\n<td>[latex]100[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"fs-idp39914624\" summary=\"\">\n<thead>\n<tr>\n<th colspan=\"4\">Frequency Distribution for Calculus Final Grades<\/th>\n<\/tr>\n<tr>\n<th>Lower Bound<\/th>\n<th>Upper Bound<\/th>\n<th>Frequency<\/th>\n<th>Cumulative Frequency<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>[latex]49.5[\/latex]<\/td>\n<td>[latex]59.5[\/latex]<\/td>\n<td>[latex]10[\/latex]<\/td>\n<td>[latex]10[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]59.5[\/latex]<\/td>\n<td>[latex]69.5[\/latex]<\/td>\n<td>[latex]10[\/latex]<\/td>\n<td>[latex]20[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]69.5[\/latex]<\/td>\n<td>[latex]79.5[\/latex]<\/td>\n<td>[latex]30[\/latex]<\/td>\n<td>[latex]50[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]79.5[\/latex]<\/td>\n<td>[latex]89.5[\/latex]<\/td>\n<td>[latex]45[\/latex]<\/td>\n<td>[latex]95[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>[latex]89.5[\/latex]<\/td>\n<td>[latex]99.5[\/latex]<\/td>\n<td>[latex]5[\/latex]<\/td>\n<td>[latex]100[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<figure id=\"eip-id1165746871888\"><span id=\"fs-idm24364960\" data-type=\"media\" data-display=\"block\" data-alt=\"This is an overlay frequency polygon that matches the supplied data. The x-axis shows the grades, and the y-axis shows the frequency.\"> <\/span><\/figure>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-145 size-full aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/06\/08184856\/0252376155055ef3702078b3cadf00ce5d5ce7771.jpeg\" alt=\"This is an overlay frequency polygon that matches the supplied data. The x-axis shows the grades, and the y-axis shows the frequency.\" width=\"487\" height=\"407\" \/><\/p>\n<\/div>\n<\/div>\n<p>Suppose that we want to study the temperature range of a region for an entire month. Every day at noon we note the temperature and write this down in a log. A variety of statistical studies could be done with this data. We could find the mean or the median temperature for the month. We could construct a histogram displaying the number of days that temperatures reach a certain range of values. However, all of these methods ignore a portion of the data that we have collected.<\/p>\n<p>One feature of the data that we may want to consider is that of time. Since each date is paired with the temperature reading for the day, we don\u2018t have to think of the data as being random. We can instead use the times given to impose a chronological order on the data. A graph that recognizes this ordering and displays the changing temperature as the month progresses is called a <strong>time series graph<\/strong>.<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-655\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>OpenStax, Statistics, Histograms, Frequency Polygons, and Time Series Graphs. <strong>Provided by<\/strong>: OpenStax. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/openstax.org\/books\/introductory-statistics\/pages\/2-2-histograms-frequency-polygons-and-time-series-graphs\">https:\/\/openstax.org\/books\/introductory-statistics\/pages\/2-2-histograms-frequency-polygons-and-time-series-graphs<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Access for free at https:\/\/openstax.org\/books\/introductory-statistics\/pages\/1-introduction<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":15,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"OpenStax, Statistics, Histograms, Frequency Polygons, and Time Series Graphs\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"https:\/\/openstax.org\/books\/introductory-statistics\/pages\/2-2-histograms-frequency-polygons-and-time-series-graphs\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Access for free at https:\/\/openstax.org\/books\/introductory-statistics\/pages\/1-introduction\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-655","chapter","type-chapter","status-publish","hentry"],"part":31,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/655","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":8,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/655\/revisions"}],"predecessor-version":[{"id":3369,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/655\/revisions\/3369"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/31"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/655\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=655"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=655"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=655"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}