{"id":529,"date":"2022-04-13T05:26:47","date_gmt":"2022-04-13T05:26:47","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=529"},"modified":"2025-02-23T06:09:19","modified_gmt":"2025-02-23T06:09:19","slug":"z-11-create-histograms","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/z-11-create-histograms\/","title":{"rendered":"Z.11 Create histograms"},"content":{"rendered":"\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<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Create histograms<\/strong><\/h2>\n\n\n\n<p class=\"has-large-font-size\"><strong>Key notes !<\/strong><\/p>\n\n\n\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 decoding=\"async\" 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\"\/><\/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\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-dc267b809070aa740a55b678c6f3db8f\" style=\"color:#105000\"><strong>Learn with an example <\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#dbf7c8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-097dc15bc5758ac065b9ed5d9d306711\" style=\"color:#b00012\">\ud83d\udef0\ufe0f <strong>Amy&nbsp;counted the number of silver beads on each bracelet at Adalaj Jewellery, the store where she&nbsp;works.<\/strong><\/p>\n\n\n\n<p>Use&nbsp;the data to complete the histogram&nbsp;below.<\/p>\n\n\n\n<p>Silver&nbsp;beads per&nbsp;bracelet<\/p>\n\n\n\n<p><strong>1 1 8 10 11 12 13 14 15 15 16 18 23 24<\/strong><\/p>\n\n\n\n<p><em>Click&nbsp;to set the height of the missing&nbsp;bar.<\/em><\/p>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-24.png\" alt=\"\" class=\"wp-image-6788\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-24.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-24-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-24-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;missing bar is for the range&nbsp;5&nbsp;&#8211;&nbsp;9&nbsp;silver bead. Count the number of values in this range.&nbsp;1&nbsp;bracelet had between&nbsp;5&nbsp;and&nbsp;9&nbsp;silver beads. Set the height of the bar to&nbsp;1.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design__1_-removebg-preview-10-removebg-preview.png\" alt=\"\" class=\"wp-image-14513\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design__1_-removebg-preview-10-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design__1_-removebg-preview-10-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design__1_-removebg-preview-10-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#c8ebc4\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-23dbf1a6439fbafd877b5caca5b8a5cc\" style=\"color:#b00012\">\ud83d\udef0\ufe0f <strong>The&nbsp;receptionist at a doctor&#8217;s office kept track of each patient&#8217;s wait&nbsp;time.<\/strong><\/p>\n\n\n\n<p>Use&nbsp;the data to complete the histogram&nbsp;below.<\/p>\n\n\n\n<p>Doctor&#8217;s&nbsp;office wait times&nbsp;(minutes)<\/p>\n\n\n\n<p><strong>1 2 15 16 17 21 22 27 36 38 50 60 66 75 80 97<\/strong><\/p>\n\n\n\n<p><em>Click&nbsp;to set the height of the missing&nbsp;bar.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-2-8.png\" alt=\"\" class=\"wp-image-6792\" style=\"width:296px;height:296px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-2-8.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-2-8-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-2-8-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;missing bar is for the range&nbsp;61&nbsp;&#8211;&nbsp;80&nbsp;minutes. Count the number of values in this range.&nbsp;3&nbsp;people waited for between&nbsp;61&nbsp;and&nbsp;80&nbsp;minutes. Set the height of the bar to&nbsp;3.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-6793\" style=\"width:342px;height:342px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-3.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-3-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__3_-removebg-preview-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#c5efb6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-01d31e448db24e166d026e0eacd5f012\" style=\"color:#b00012\">\ud83d\udef0\ufe0f <strong>Catherine&nbsp;counted the number of ducks at each pond in the&nbsp;city.<\/strong><\/p>\n\n\n\n<p>Use&nbsp;the data in the table to complete the histogram&nbsp;below.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-5.png\" alt=\"\" class=\"wp-image-6798\" style=\"width:302px;height:302px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-5.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-5-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-4-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p><em>Click&nbsp;to set the height of the missing&nbsp;bar.<\/em><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-2.png\" alt=\"\" class=\"wp-image-6799\" style=\"width:337px;height:337px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-2.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-2-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-5-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;missing bar is for the range&nbsp;41&nbsp;&#8211;&nbsp;50&nbsp;ducks.&nbsp;10&nbsp;ponds had between&nbsp;41&nbsp;and&nbsp;50&nbsp;ducks. Set the height of the bar to&nbsp;10.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design-removebg-preview-7.png\" alt=\"\" class=\"wp-image-14516\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design-removebg-preview-7.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design-removebg-preview-7-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/Untitled_design-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/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\/76759\/447\/996\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-190.png\" alt=\"\" class=\"wp-image-9119\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-190.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-190-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-190-150x150.png 150w\" 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\/76751\/768\/327\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195.png\" alt=\"\" class=\"wp-image-9120\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-195-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Create 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\udef0\ufe0f Amy&nbsp;counted the number of silver beads on each bracelet at Adalaj Jewellery, the<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/z-11-create-histograms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Z.11 Create 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-529","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/529","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=529"}],"version-history":[{"count":21,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/529\/revisions"}],"predecessor-version":[{"id":19932,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/529\/revisions\/19932"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}