{"id":479,"date":"2022-04-12T10:42:33","date_gmt":"2022-04-12T10:42:33","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=479"},"modified":"2024-08-21T16:15:11","modified_gmt":"2024-08-21T16:15:11","slug":"x-8-interpret-histograms","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/x-8-interpret-histograms\/","title":{"rendered":"X.8 Interpret histograms"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Interpret histograms<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#86b323\">1. <strong>Understanding Histograms<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A histogram is a type of bar graph that represents the distribution of numerical data by showing the frequency of data points within specified intervals (bins).<\/li>\n\n\n\n<li>Unlike bar graphs, histograms display data that is continuous, meaning the bars touch each other.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1024x1024.png\" alt=\"\" class=\"wp-image-13811\" style=\"aspect-ratio:1;width:332px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1024x1024.png 1024w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-768x768.png 768w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-400x400.png 400w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1536x1536.png 1536w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#08da75\">2. <strong>Parts of a Histogram<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Title<\/strong>: Describes what the histogram represents.<\/li>\n\n\n\n<li><strong>X-axis (Horizontal axis)<\/strong>: Represents the intervals or bins of data, showing the range of values grouped together.<\/li>\n\n\n\n<li><strong>Y-axis (Vertical axis)<\/strong>: Represents the frequency or count of data points within each interval.<\/li>\n\n\n\n<li><strong>Bars<\/strong>: Each bar represents the frequency of data points within a specific interval. The height of the bar corresponds to how many data points fall within that interval.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#fe02e0\">3. <strong>Steps to Interpret a Histogram<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1: Read the Title<\/strong>: Understand what the histogram is about.<\/li>\n\n\n\n<li><strong>Step 2: Analyze the X-axis<\/strong>: Look at the intervals to understand the range of data being represented.<\/li>\n\n\n\n<li><strong>Step 3: Analyze the Y-axis<\/strong>: Check the scale to understand the frequency of data points.<\/li>\n\n\n\n<li><strong>Step 4: Examine the Bars<\/strong>: The height of each bar indicates how many data points fall within the corresponding interval.<\/li>\n\n\n\n<li><strong>Step 5: Draw Conclusions<\/strong>: Use the histogram to identify patterns, such as which interval has the most or least data points.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#242cc4\">4. <strong>Identifying Key Features in Histograms<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Peak (Mode)<\/strong>: The tallest bar represents the interval with the highest frequency, also known as the mode.<\/li>\n\n\n\n<li><strong>Spread<\/strong>: Look at how wide the data is spread across the intervals. This shows the range of the data.<\/li>\n\n\n\n<li><strong>Skewness<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>Left-skewed (negative skew)<\/strong>: Most data points are concentrated on the right side.<\/li>\n\n\n\n<li><strong>Right-skewed (positive skew)<\/strong>: Most data points are concentrated on the left side.<\/li>\n\n\n\n<li><strong>Symmetrical<\/strong>: Data is evenly distributed on both sides of the peak.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#c09a3a\">5. <strong>Comparing Histograms<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Compare different histograms by looking at the spread, peak, and skewness to understand how the distributions differ.<\/li>\n\n\n\n<li>Compare the height of bars in different histograms to see which data set has more frequent values within certain intervals.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#13d79c\">6. <strong>Common Mistakes to Avoid<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Misinterpreting the intervals: Remember that each bar represents the frequency of data within a specific interval, not individual values.<\/li>\n\n\n\n<li>Confusing histograms with bar graphs: Unlike bar graphs, the bars in histograms touch because the data is continuous.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#bea24c\">7. <strong>Applications of Histograms<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Histograms are often used in statistics to display the distribution of data points, such as test scores, temperatures, or any other quantitative data.<\/li>\n\n\n\n<li>They help in identifying the central tendency, spread, and overall shape of the data distribution.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-large-font-size\" style=\"background-color:#f5dbf2\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udd14 The staff of a game show tracked the performance of all the contestants during the past season.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"439\" height=\"296\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-11.png\" alt=\"\" class=\"wp-image-10349\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-11.png 439w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-11-300x202.png 300w\" sizes=\"auto, (max-width: 439px) 100vw, 439px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Which score range was achieved by the most people?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1-5 points<\/li>\n\n\n\n<li>6-10 points<\/li>\n\n\n\n<li>21-25  points<\/li>\n\n\n\n<li>31-35 points<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Find the tallest bar. The tallest bar is for the range 1-5.<\/p>\n\n\n\n<p>The score range 1-5 was achieved by the most people.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-large-font-size\" style=\"background-color:#ececb7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udd14 Dr. Baldwin, a paediatrician, weighed all the children who recently visited her office.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"430\" height=\"319\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-12.png\" alt=\"\" class=\"wp-image-10350\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-12.png 430w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-12-300x223.png 300w\" sizes=\"auto, (max-width: 430px) 100vw, 430px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>How many children weighed between 11 and 20 pounds?<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color\"><strong>&nbsp; _________children<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Find the bar for the range 11-20. Using the scale on the left side of the graph, read the height of the bar. The height of the bar is 1.<\/p>\n\n\n\n<p>1 child weighed between 11 and 20 pounds.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-large-font-size\" style=\"background-color:#b8e3ea\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udd14While hanging Christmas lights for neighbours, Lorenzo counted the number of broken lights on each string.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"594\" height=\"265\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-13.png\" alt=\"\" class=\"wp-image-10351\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-13.png 594w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-13-300x134.png 300w\" sizes=\"auto, (max-width: 594px) 100vw, 594px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Which range of broken lights per string occurred least frequently?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1- 5 broken lights<\/li>\n\n\n\n<li>11- 15  broken lights<\/li>\n\n\n\n<li>21- 25  broken lights<\/li>\n\n\n\n<li>26-30   broken lights<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Find the shortest bar. The shortest bar is for the range 11-15.<\/p>\n\n\n\n<p>The range 11-15 occurred least frequently.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#b00012\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76714\/469\/520\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-148.png\" alt=\"\" class=\"wp-image-6944\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-148.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-148-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-148-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-148-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76761\/298\/837\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-150.png\" alt=\"\" class=\"wp-image-6945\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-150.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-150-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-150-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-150-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Interpret histograms key notes : 1. Understanding Histograms 2. Parts of a Histogram 3. Steps to Interpret a Histogram 4. Identifying Key Features in Histograms 5. Comparing Histograms 6. Common Mistakes to Avoid 7. Applications of Histograms Learn with an example \ud83d\udd14 The staff of a game show tracked the performance of all the contestants<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/x-8-interpret-histograms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;X.8 Interpret histograms&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-479","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=479"}],"version-history":[{"count":17,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/479\/revisions"}],"predecessor-version":[{"id":13814,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/479\/revisions\/13814"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}