{"id":527,"date":"2022-04-13T05:26:29","date_gmt":"2022-04-13T05:26:29","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=527"},"modified":"2025-02-23T06:05:31","modified_gmt":"2025-02-23T06:05:31","slug":"z-10-interpret-histograms","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/z-10-interpret-histograms\/","title":{"rendered":"Z.10 Interpret 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\"> Interpret histograms<\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4d4696560822e7cb72ec4be90d4370b1\" style=\"color:#74008b\">Key Notes:<\/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-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e5c2c2\"><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-5db2e507d3cda8ccfa7f1d08c924fe84\" style=\"color:#b00012\">\ud83d\udce1 <strong>A biscuit factory monitored the number of broken biscuits per pack yesterday.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-3-6.png\" alt=\"\" class=\"wp-image-6760\" style=\"width:618px;height:247px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-3-6.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-3-6-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>\ud83d\udce1 How many packs are there in all?&#8212;&#8211;packs.<\/p>\n<\/div><\/div>\n\n\n\n<p>Read the height of each bar off the graph.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___200px___4_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-6763\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___200px___4_-removebg-preview-3.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___200px___4_-removebg-preview-3-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>Add to find the total number of packs.<\/p>\n\n\n\n<p>2&nbsp;+&nbsp;1&nbsp;+&nbsp;1&nbsp;+&nbsp;3&nbsp;+&nbsp;2&nbsp;+&nbsp;6&nbsp;+&nbsp;2=17<\/p>\n\n\n\n<p>There are 17 packs in all.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#c4f3bb\"><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-a38743e8506c377460d00b1ab26f3e61\" style=\"color:#b00012\">\ud83d\udce1 <strong>Brody decided to record the temperature every morning when he woke up<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-16.png\" alt=\"\" class=\"wp-image-6765\" style=\"width:628px;height:251px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-16.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-16-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>\ud83d\udce1 How many temperature readings are there in all?&#8212;&#8212;temperature readings.<\/p>\n<\/div><\/div>\n\n\n\n<p>Read the height of each bar off the graph.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___200px___1_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-6766\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___200px___1_-removebg-preview-5.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___200px___1_-removebg-preview-5-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>Add to find the total number of temperature readings.<\/p>\n\n\n\n<p>5&nbsp;+&nbsp;4&nbsp;+&nbsp;2&nbsp;+&nbsp;1&nbsp;+&nbsp;3&nbsp;+&nbsp;6&nbsp;+&nbsp;1&nbsp;+&nbsp;5=27<\/p>\n\n\n\n<p>There are 27 temperature readings in all.<\/p>\n<\/div><\/div>\n<\/div><\/div>\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<div class=\"wp-block-group has-background\" style=\"background-color:#ddf4bb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\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-3d5b69acefddea4220a9ead241e33e91\" style=\"color:#b00012\">\ud83d\udce1 <strong>A farmer counted the number of apples on each tree in her orchard.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-2-8.png\" alt=\"\" class=\"wp-image-6777\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-2-8.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-2-8-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>\ud83d\udce1 How many trees have between 61 and 70 apples?&#8212;&#8211;trees.<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the bar for the range 61-70. 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 tree has between 61 and 70 apples.<\/p>\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<\/div><\/div>\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:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-191.png\" alt=\"\" class=\"wp-image-9122\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-191.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-191-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-191-150x150.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\/76749\/566\/221\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-196.png\" alt=\"\" class=\"wp-image-9123\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-196.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-196-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-196-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>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\udce1 A biscuit factory monitored the number of broken biscuits per pack yesterday. \ud83d\udce1 How<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/z-10-interpret-histograms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Z.10 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-527","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\/527","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=527"}],"version-history":[{"count":17,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/527\/revisions"}],"predecessor-version":[{"id":19931,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/527\/revisions\/19931"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=527"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}