{"id":481,"date":"2022-04-12T10:42:52","date_gmt":"2022-04-12T10:42:52","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=481"},"modified":"2024-08-21T16:36:45","modified_gmt":"2024-08-21T16:36:45","slug":"x-9-create-histograms","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/x-9-create-histograms\/","title":{"rendered":"X.9 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:#7fbc39\">1. <strong>What is a Histogram?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A histogram is a graphical representation of data that shows the distribution of a dataset by dividing it into intervals (bins) and displaying the frequency of data points in each bin.<\/li>\n\n\n\n<li>Unlike bar graphs, histograms are used for continuous data, and 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-1-1-1024x1024.png\" alt=\"\" class=\"wp-image-13819\" style=\"aspect-ratio:1;width:264px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1-1024x1024.png 1024w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1-768x768.png 768w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1-400x400.png 400w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1-1536x1536.png 1536w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/DELTA-PUBLICATIONS-1-1.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#22a989\">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 (bins) of data, showing ranges of values.<\/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 within the interval it corresponds to. The height of the bar shows how many data points fall into that interval.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#ea5110\">3. <strong>Steps to Create a Histogram<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1: Collect Data<\/strong>: Gather the data that you want to represent in a histogram.<\/li>\n\n\n\n<li><strong>Step 2: Organize Data<\/strong>: Arrange the data in ascending order and identify the range (the difference between the maximum and minimum values).<\/li>\n\n\n\n<li><strong>Step 3: Choose Intervals (Bins)<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Divide the range into equal intervals (bins). The number of bins can vary depending on the data and desired detail level, but typically 5-10 bins are used.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 4: Count Frequencies<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Count how many data points fall into each bin. This count will be the frequency for each interval.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 5: Draw the X-axis and Y-axis<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Label the X-axis with the intervals and the Y-axis with the frequency values.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 6: Draw Bars<\/strong>:\n<ul class=\"wp-block-list\">\n<li>For each interval, draw a bar that reaches up to the corresponding frequency on the Y-axis. Make sure the bars touch each other to show the continuous nature of the data.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 7: Add a Title<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Give your histogram a title that clearly explains what the data represents.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#feea0f\">4. <strong>Choosing the Right Bin Size<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The bin size can greatly affect the appearance of the histogram.<\/li>\n\n\n\n<li><strong>Too Few Bins<\/strong>: The histogram may be too generalized, losing detail in the data distribution.<\/li>\n\n\n\n<li><strong>Too Many Bins<\/strong>: The histogram may become too detailed, making it difficult to identify trends or patterns.<\/li>\n\n\n\n<li>Aim for a bin size that balances detail and clarity.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#716f00\">5. <strong>Common Mistakes to Avoid<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Incorrect Bin Sizes<\/strong>: Ensure that intervals are evenly spaced and cover the entire range of data without overlapping.<\/li>\n\n\n\n<li><strong>Mislabeling the Axes<\/strong>: Always label both axes correctly to avoid confusion when interpreting the histogram.<\/li>\n\n\n\n<li><strong>Gaps Between Bars<\/strong>: Remember, in histograms, bars should touch each other since the data is continuous.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#e1ad11\">6. <strong>Interpreting the Histogram After Creating It<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify the Mode<\/strong>: The interval with the highest bar is where most data points are concentrated.<\/li>\n\n\n\n<li><strong>Analyze the Spread<\/strong>: Observe how widely the data is distributed across the intervals.<\/li>\n\n\n\n<li><strong>Look for Skewness<\/strong>: Determine if the data is skewed to the left, right, or is symmetrical.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#15edd8\">7. <strong>Applications of Histograms<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Histograms are commonly used in statistics to visualize the distribution of a dataset, such as test scores, heights, or temperatures.<\/li>\n\n\n\n<li>They help in understanding the shape, central tendency, and spread of the data.<\/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-primary-color has-text-color has-background has-large-font-size\" style=\"background-color:#98d2f0\"><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 A&nbsp;business magazine surveyed its readers about their commute&nbsp;times.<\/p>\n\n\n\n<p>Use&nbsp;the data to complete the histogram&nbsp;below.<\/p>\n\n\n\n<p>Commute&nbsp;time&nbsp;(minutes)<\/p>\n\n\n\n<p>2  3  3  4  7  9  9  9  10  13  16  17  20  23  23  23  25  25<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Click to set the height of the missing bar.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-6.png\" alt=\"\" class=\"wp-image-5392\" style=\"aspect-ratio:1;width:420px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-6.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-6-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-6-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-6-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The missing bar is for the range 16 &#8211; 20 minutes. Count the number of values in this range. 3 commutes are between 16 and 20 minutes. Set the height of the bar to 3.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-8-3.png\" alt=\"\" class=\"wp-image-5393\" style=\"aspect-ratio:1;width:431px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-8-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-8-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-8-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-8-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/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:#f2a8a8\"><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&nbsp;architecture student counted the number of bricks in each building in his&nbsp;neighbourhood.<\/p>\n\n\n\n<p>Use&nbsp;the data to complete the histogram&nbsp;below.<\/p>\n\n\n\n<p>Bricks&nbsp;per&nbsp;building<\/p>\n\n\n\n<p>32  23  32  8  6  43  49  4  20  21  43  26  21  46  21<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Click to set the height of the missing bar.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-4.png\" alt=\"\" class=\"wp-image-5394\" style=\"aspect-ratio:1;width:424px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-4.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-4-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The missing bar is for the range 1 &#8211; 10 bricks. Count the number of values in this range. 3 buildings have between 1 and 10 bricks. Set the height of the bar to 3.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-10-3.png\" alt=\"\" class=\"wp-image-5395\" style=\"aspect-ratio:1;width:415px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-10-3.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-10-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-10-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-10-3-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/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:#abf192\"><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 A&nbsp;city planner counted the number of floors per building in the downtown&nbsp;area.<\/p>\n\n\n\n<p>Use&nbsp;the data to complete the histogram&nbsp;below.<\/p>\n\n\n\n<p>Floors&nbsp;per&nbsp;building<\/p>\n\n\n\n<p>5  22  6  22  4  3  20  13  15  5  23  22  2<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Click to set the height of the missing bar.<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-25.png\" alt=\"\" class=\"wp-image-5396\" style=\"aspect-ratio:1;width:388px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-25.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-25-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-25-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-25-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The missing bar is for the range 11 &#8211; 15 floors. Count the number of values in this range. 2 buildings have between 11 and 15 floors. Set the height of the bar to 2.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-11.png\" alt=\"\" class=\"wp-image-5397\" style=\"aspect-ratio:1;width:400px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-11.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-11-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-11-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-1-11-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">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\/76759\/447\/996\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-149.png\" alt=\"\" class=\"wp-image-6947\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-149.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-149-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-149-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-149-400x400.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\/367\/819\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-151.png\" alt=\"\" class=\"wp-image-6948\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-151.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-151-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-151-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-151-400x400.png 400w\" 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. What is a Histogram? 2. Parts of a Histogram 3. Steps to Create a Histogram 4. Choosing the Right Bin Size 5. Common Mistakes to Avoid 6. Interpreting the Histogram After Creating It 7. Applications of Histograms Learn with an example \ud83d\udd14 A&nbsp;business magazine surveyed its readers about their<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/x-9-create-histograms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;X.9 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,"footnotes":""},"class_list":["post-481","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/481","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=481"}],"version-history":[{"count":20,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/481\/revisions"}],"predecessor-version":[{"id":13821,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/481\/revisions\/13821"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=481"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}