{"id":525,"date":"2022-04-13T05:26:15","date_gmt":"2022-04-13T05:26:15","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=525"},"modified":"2025-02-23T06:01:26","modified_gmt":"2025-02-23T06:01:26","slug":"z-9-create-stem-and-leaf-plots","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/z-9-create-stem-and-leaf-plots\/","title":{"rendered":"Z.9 Create stem-and-leaf plots"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Create stem-and-leaf plots<\/strong><\/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<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-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:#28c610\">1. <strong>What is a Stem-and-Leaf Plot?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">A <strong>stem-and-leaf plot<\/strong> is a way to organize numerical data in a visual format where each number is split into two parts: the stem (all but the last digit) and the leaf (the last digit).<\/li>\n\n\n\n<li><strong>Purpose<\/strong>: It helps in displaying data in a way that shows both the distribution and the exact values of the data points.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-11.png\" alt=\"\" class=\"wp-image-13772\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#cc5a14\">2. <strong>Components of a Stem-and-Leaf Plot<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Stem<\/strong>: Represents the leading digits of each number.<\/li>\n\n\n\n<li><strong>Leaf<\/strong>: Represents the last digit of each number.<\/li>\n\n\n\n<li><strong>Key<\/strong>: A legend that explains how to read the plot. For example, &#8220;4 | 7 = 47&#8221; means the stem is 4 and the leaf is 7, forming the number 47.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#1e7b38\">3. <strong>Steps to Create a Stem-and-Leaf Plot<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 1: Organize the Data<\/strong>\n<ul class=\"wp-block-list\">\n<li>Start by listing all the data points in ascending order. This makes it easier to place them correctly in the plot.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 2: Determine the Stems<\/strong>\n<ul class=\"wp-block-list\">\n<li>Identify the leading digits (stem) of each number.<\/li>\n\n\n\n<li>For example, if the numbers are 32, 34, and 36, the stem is 3.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 3: List the Stems<\/strong>\n<ul class=\"wp-block-list\">\n<li>Write down all possible stems in a vertical column from smallest to largest.<\/li>\n\n\n\n<li>Even if a stem has no leaves (e.g., if no data falls into the 20s), you should still list it for completeness.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 4: Add the Leaves<\/strong>\n<ul class=\"wp-block-list\">\n<li>For each number, write the last digit (leaf) next to its corresponding stem.<\/li>\n\n\n\n<li>Example: For the numbers 32, 34, and 36, the plot will have<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/3-2-1024x1024.png\" alt=\"\" class=\"wp-image-13775\"\/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Step 5: Organize the Leaves<\/strong>\n<ul class=\"wp-block-list\">\n<li>List the leaves in ascending order next to each stem for clarity.<\/li>\n\n\n\n<li>This helps in quickly identifying the distribution of data.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 6: Include a Key<\/strong>\n<ul class=\"wp-block-list\">\n<li>Always include a key that explains how to interpret the plot. For example: &#8220;3 | 2 = 32&#8221;.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#a303b8\">4. <strong>Example of a Stem-and-Leaf Plot<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Data Set<\/strong>: 42, 44, 46, 53, 55, 57, 61, 63, 65, 67.<\/li>\n\n\n\n<li><strong>Stem-and-Leaf Plot<\/strong>:<\/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\/3-3-1024x1024.png\" alt=\"\" class=\"wp-image-13777\" style=\"aspect-ratio:1;width:334px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Key<\/strong>: 4 | 2 = 42.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#16b202\">5. <strong>Analyzing Your Stem-and-Leaf Plot<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Distribution<\/strong>: Examine the distribution of the data by looking at how the leaves are spread out.<\/li>\n\n\n\n<li><strong>Clusters and Gaps<\/strong>: Identify clusters where data points are close together and gaps where few or no data points exist.<\/li>\n\n\n\n<li><strong>Outliers<\/strong>: Notice if there are any outliers\u2014data points that stand far from the rest of the values.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#5b8834\">6. <strong>Benefits of Using Stem-and-Leaf Plots<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Detailed View<\/strong>: Unlike other types of graphs, stem-and-leaf plots show all individual data points.<\/li>\n\n\n\n<li><strong>Quick Analysis<\/strong>: It\u2019s easy to find the mode, median, range, and distribution patterns directly from the plot.<\/li>\n\n\n\n<li><strong>Comparison<\/strong>: Helpful in comparing different sets of data visually.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#97073c\">7. <strong>Common Mistakes to Avoid<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Incorrect Stems<\/strong>: Ensure that stems correctly represent the leading digits of the numbers.<\/li>\n\n\n\n<li><strong>Missing or Extra Leaves<\/strong>: Double-check that each leaf corresponds to the correct stem and that no leaves are omitted or duplicated.<\/li>\n\n\n\n<li><strong>Unsorted Leaves<\/strong>: Leaves should always be in ascending order for clarity.<\/li>\n\n\n\n<li><strong>Forgetting the Key<\/strong>: Always include a key to ensure that the plot can be interpreted correctly.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#511f91\">8. <strong>Practical Tips<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Practice with small data sets to build confidence before moving on to larger sets.<\/li>\n\n\n\n<li>Use different color markers for stems and leaves to make the plot easier to read.<\/li>\n\n\n\n<li>Always verify your plot by adding the stems and leaves to make sure they match the original data set.<\/li>\n<\/ul>\n<\/div><\/div>\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:#cff5c7\"><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-1e76f73790c4c56b18232d13e7b4a79e\" style=\"color:#b00012\">\ud83d\udd25<strong>The&nbsp;advertising agency counted the number of billboards in each city in the&nbsp;state.<\/strong><\/p>\n\n\n\n<p><strong>Billboards&nbsp;per&nbsp;city<\/strong><\/p>\n\n\n\n<p><strong>35 35 36 40 41 52 60 74 74 83 84 87 91 91 93<\/strong><\/p>\n\n\n\n<p>Use&nbsp;the data to complete the stem-and-leaf&nbsp;plot.<\/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-7-3.png\" alt=\"\" class=\"wp-image-6750\" style=\"width:424px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-3.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-3-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-7-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;stem in the missing row is&nbsp;9.<\/p>\n\n\n\n<p>Write&nbsp;the leaves&nbsp;1,&nbsp;1,&nbsp;and&nbsp;3&nbsp;in this row to represent the numbers&nbsp;91,&nbsp;91,&nbsp;and&nbsp;93.<\/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__8_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-6751\" style=\"width:276px;height:276px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__8_-removebg-preview-1.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__8_-removebg-preview-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__8_-removebg-preview-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#c4e8bc\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-89722bc9d685d24072c07f821d1895e9\" style=\"color:#b00012\"><strong>\ud83d\udd25Helen,&nbsp;who rents properties for a living, measures all the offices in a building she is&nbsp;renting.<\/strong><\/p>\n\n\n\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><strong>Office&nbsp;sizes (square&nbsp;metres)<\/strong><\/p>\n\n\n\n<p><strong>15 26 27 30 49 58 59 63 73 73 82 92<\/strong><\/p>\n\n\n\n<p>Use&nbsp;the data to complete the stem-and-leaf&nbsp;plot.<\/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-9-1.png\" alt=\"\" class=\"wp-image-6755\" style=\"width:303px;height:303px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-1.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-1-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-design-9-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;stem in the missing row is&nbsp;5.<\/p>\n\n\n\n<p>Write&nbsp;the leaves&nbsp;8&nbsp;and&nbsp;9&nbsp;in this row to represent the numbers&nbsp;58&nbsp;and&nbsp;59.<\/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__10_-removebg-preview-2.png\" alt=\"\" class=\"wp-image-6756\" style=\"width:328px;height:328px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__10_-removebg-preview-2.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__10_-removebg-preview-2-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled_design__10_-removebg-preview-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d1cdf2\"><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-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-85eb3f32b3c12b2e4b2e26bce6dcf2af\" style=\"color:#b00012\">\ud83d\udd25<strong>A&nbsp;food critic counted the number of menu items at each restaurant in&nbsp;town.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-3.png\" alt=\"\" class=\"wp-image-10482\" style=\"width:513px;height:76px\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-3.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-5-3-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\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\/06\/Untitled-design-6-2.png\" alt=\"\" class=\"wp-image-10483\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6-2.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6-2-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-6-2-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;stem in the missing row is&nbsp;7.<\/p>\n\n\n\n<p>Write&nbsp;the leaves&nbsp;1,&nbsp;1,&nbsp;2,&nbsp;2,&nbsp;and&nbsp;6&nbsp;in this row to represent the numbers&nbsp;71,&nbsp;71,&nbsp;72,&nbsp;72,&nbsp;and&nbsp;76.<\/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\/06\/Untitled_design__7_-removebg-preview.png\" alt=\"\" class=\"wp-image-10484\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__7_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\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\/76712\/957\/994\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-192.png\" alt=\"\" class=\"wp-image-9125\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-192.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-192-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-192-150x150.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\/76750\/164\/519\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-197.png\" alt=\"\" class=\"wp-image-9126\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-197.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-197-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-197-150x150.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 stem-and-leaf plots Key Notes: 1. What is a Stem-and-Leaf Plot? 2. Components of a Stem-and-Leaf Plot 3. Steps to Create a Stem-and-Leaf Plot 4. Example of a Stem-and-Leaf Plot 5. Analyzing Your Stem-and-Leaf Plot 6. Benefits of Using Stem-and-Leaf Plots 7. Common Mistakes to Avoid 8. Practical Tips Learn with an example \ud83d\udd25The&nbsp;advertising agency<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/z-9-create-stem-and-leaf-plots\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Z.9 Create stem-and-leaf plots&#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-525","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\/525","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=525"}],"version-history":[{"count":20,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/525\/revisions"}],"predecessor-version":[{"id":19930,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/525\/revisions\/19930"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}