{"id":543,"date":"2022-04-13T05:29:40","date_gmt":"2022-04-13T05:29:40","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=543"},"modified":"2025-04-08T06:40:26","modified_gmt":"2025-04-08T06:40:26","slug":"aa-2-interpret-charts-to-find-mean-median-mode-and-range","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/aa-2-interpret-charts-to-find-mean-median-mode-and-range\/","title":{"rendered":"AA.2 Interpret charts to find mean, median, mode and range"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Interpret charts to find mean, median, mode and range<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-869a5c0b6b78055316c8d0186252dcbd\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-c43bd3caeadfa13c5f1eec6a0b7232d8\" style=\"color:#000060\"><strong>Mean (Average):<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Formula:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Add all the numbers together.<\/p>\n\n\n\n<p class=\"has-large-font-size\">Divide the total by how many numbers there are.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"266\" height=\"82\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image.png\" alt=\"\" class=\"wp-image-20388\" style=\"width:324px;height:auto\"\/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-884af66217021a1f71d19743734f0b98\" style=\"color:#000060\"><strong>Median (Middle Value):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Arrange the numbers in order (smallest to largest).<\/li>\n\n\n\n<li>If odd number of values, the middle one is the median.<\/li>\n\n\n\n<li>If even number of values, average the two middle numbers.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-0237a5c076196733f856251455a8a9dd\" style=\"color:#000060\"><strong>Mode (Most Frequent Value):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>The number that appears most often.<\/li>\n\n\n\n<li>A set may have <strong>one mode<\/strong>, <strong>more than one<\/strong>, or <strong>no mode<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-b72889b92f7ca18f047ce7c9178655d5\" style=\"color:#000060\"><strong>Range (Spread of Data):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Difference between the highest and lowest numbers.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-8cb79be1614e1343f356e5dfd92241bb\" style=\"color:#000060\"><strong>Formula:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"304\" height=\"53\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-1.png\" alt=\"\" class=\"wp-image-20389\" style=\"width:380px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-1.png 304w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-1-300x52.png 300w\" sizes=\"auto, (max-width: 304px) 100vw, 304px\" \/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-8c0d33ab8f5ddeff82eebc63492865fb\" style=\"color:#000060\"><strong>\ud83d\udcc8 Interpreting Charts or Tables<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Charts may show data in the form of:\n<ul class=\"wp-block-list\">\n<li>Bar graphs<\/li>\n\n\n\n<li>Line graphs<\/li>\n\n\n\n<li>Frequency tables<\/li>\n\n\n\n<li>Pie charts<\/li>\n\n\n\n<li>Pictographs<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-e86c79eb6d9dc64a75a792f3a9af014d\" style=\"color:#000060\"><strong>\u2705 Steps to Follow:<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list has-large-font-size\">\n<li><strong>Extract the data<\/strong> from the chart or table clearly.<\/li>\n\n\n\n<li><strong>List the values<\/strong> you need to work with.<\/li>\n\n\n\n<li><strong>Organize the data<\/strong> in order if needed (for median).<\/li>\n\n\n\n<li><strong>Apply the formulas<\/strong> to calculate mean, median, mode, and range.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-ee45deec9b797246bb620466bcda83e0\" style=\"color:#000060\">\ud83d\udd0d <strong>Example: Frequency Table<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table has-large-font-size\"><table class=\"has-fixed-layout\"><thead><tr><th>Score<\/th><th>Frequency<\/th><\/tr><\/thead><tbody><tr><td>2<\/td><td>1<\/td><\/tr><tr><td>4<\/td><td>2<\/td><\/tr><tr><td>6<\/td><td>3<\/td><\/tr><tr><td>8<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-large-font-size\"><strong>Step 1: Expand the data<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>2 \u2192 1 time<\/li>\n\n\n\n<li>4 \u2192 2 times \u2192 4, 4<\/li>\n\n\n\n<li>6 \u2192 3 times \u2192 6, 6, 6<\/li>\n\n\n\n<li>8 \u2192 2 times \u2192 8, 8<br><strong>Data Set:<\/strong> 2, 4, 4, 6, 6, 6, 8, 8<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-efb0821b255ba676312fb326da1a10ab\" style=\"color:#000060\"><strong>Mean:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"442\" height=\"68\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-2.png\" alt=\"\" class=\"wp-image-20390\" style=\"width:558px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-2.png 442w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-2-300x46.png 300w\" sizes=\"auto, (max-width: 442px) 100vw, 442px\" \/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-07d9cd9ca57662b7e545079a37c85785\" style=\"color:#000060\"><strong>Median:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Middle values: 6 and 6 \u2192<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"218\" height=\"68\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-4.png\" alt=\"\" class=\"wp-image-20391\"\/><\/figure><\/div>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-6003d53ab00ecaa8fd92a2ea7c726b79\" style=\"color:#000060\"><strong>Mode:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">6 occurs most \u2192 Mode = <strong>6<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-754b3dfd20c07ef3c946d12ed0cff98e\" style=\"color:#000060\"><strong>Range:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"185\" height=\"54\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-6.png\" alt=\"\" class=\"wp-image-20394\" style=\"width:225px;height:auto\"\/><\/figure><\/div>\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-link-color has-large-font-size wp-elements-cdef237eb85e6af676fb5bdc3c9a4da9\" style=\"background-color:#adeea7\"><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-primary-color has-text-color has-link-color wp-elements-b3b66ed45c57dc1b27655e78e41b2ce2\">People spun a wheel that had the numbers from 1 to 5 on it.<\/p>\n\n\n\n<p><strong>Spinning a wheel numbered 1 through 5<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"276\" height=\"156\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-1.png\" alt=\"\" class=\"wp-image-14317\"\/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ecc757a90895b247b9ce094a736912e1\" style=\"color:#b00012\">What is the range of the numbers?___________<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-9eb12a6280484740745d4ccc47daa029\">Read the numbers from the line plot. Each X represents one number.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#4ec6b8\">1  1  2  2  3  3  3  4  4  4  4  5  5  5<\/p>\n\n\n\n<p>First, find the greatest number. The greatest number is 5.<\/p>\n\n\n\n<p>Next, find the least number. The least number is 1.<\/p>\n\n\n\n<p>Subtract the least number from the greatest number:<\/p>\n\n\n\n<p>5 \u2212 1 = 4<\/p>\n\n\n\n<p>The range is 4.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-37b8a54569e6e4440531386797968100\" style=\"background-color:#f4b4b4\"><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-foreground-color has-text-color has-link-color wp-elements-eec57af86de04580e1098611a43e4005\">To get credit for meeting his school&#8217;s community service requirement, Ron kept a volunteering log.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"581\" height=\"326\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-2.png\" alt=\"\" class=\"wp-image-14320\" style=\"width:522px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-2.png 581w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-2-300x168.png 300w\" sizes=\"auto, (max-width: 581px) 100vw, 581px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-2427ca55ba152d943d167756e73d22a4\" style=\"color:#b00012\">What is the mean of the numbers? __________<\/p>\n<\/div><\/div>\n\n\n\n<p>Read the numbers from the line graph. Read the line graph by finding the hours for each dot.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#ffffff\">10    9    7    9    6    4    4<\/p>\n\n\n\n<p><br>First, count how many numbers are in the group.<\/p>\n\n\n\n<p>There are 7 numbers.<\/p>\n\n\n\n<p>Now add all the numbers together:<\/p>\n\n\n\n<p>10 + 9 + 7 + 9 + 6 + 4 + 4 = 49<\/p>\n\n\n\n<p>Now divide the sum by the number of numbers:<\/p>\n\n\n\n<p>49 \u00f7 7 = 7<\/p>\n\n\n\n<p>The mean is 7.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-565c8b7fbe8f9256e75a9108928daa99\" style=\"background-color:#e19bd5\"><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-foreground-color has-text-color has-link-color wp-elements-973e13c8f61c858c075a98c7d7232918\">A pizza chef recalled how many pizzas she had made during the past 6 days.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"467\" height=\"383\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-3.png\" alt=\"\" class=\"wp-image-14324\" style=\"width:521px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-3.png 467w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-3-300x246.png 300w\" sizes=\"auto, (max-width: 467px) 100vw, 467px\" \/><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-08eaf1a4c0ab1c2ee25b2c6da05f6b98\" style=\"color:#b00012\">What is the range of the numbers?_____________<\/p>\n<\/div><\/div>\n\n\n\n<p>Read the numbers from the bar graph. Find the number for each bar.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#8cccd1\">8      5      3      1       6     8<\/p>\n\n\n\n<p><br>First, find the greatest number. The greatest number is 8.<\/p>\n\n\n\n<p>Next, find the least number. The least number is 1.<\/p>\n\n\n\n<p>Subtract the least number from the greatest number:<\/p>\n\n\n\n<p>8 \u2212 1 = 7<\/p>\n\n\n\n<p>The range is 7.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice!<\/strong><\/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\/75550\/643\/721\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-200.png\" alt=\"\" class=\"wp-image-9153\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-200.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-200-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-200-150x150.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\/89990\/662\/378\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-206.png\" alt=\"\" class=\"wp-image-9154\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-206.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-206-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-206-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Interpret charts to find mean, median, mode and range key notes : Mean (Average): Formula: Add all the numbers together. Divide the total by how many numbers there are. Median (Middle Value): Mode (Most Frequent Value): Range (Spread of Data): Formula: \ud83d\udcc8 Interpreting Charts or Tables \u2705 Steps to Follow: \ud83d\udd0d Example: Frequency Table Score<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/aa-2-interpret-charts-to-find-mean-median-mode-and-range\/\">Continue reading <span class=\"screen-reader-text\">&#8220;AA.2 Interpret charts to find mean, median, mode and range&#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-543","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\/543","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=543"}],"version-history":[{"count":21,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/543\/revisions"}],"predecessor-version":[{"id":20395,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/543\/revisions\/20395"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=543"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}