{"id":541,"date":"2022-04-13T05:29:21","date_gmt":"2022-04-13T05:29:21","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=541"},"modified":"2025-04-08T06:29:57","modified_gmt":"2025-04-08T06:29:57","slug":"aa-1-calculate-mean-median-mode-and-range","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/aa-1-calculate-mean-median-mode-and-range\/","title":{"rendered":"AA.1 Calculate mean, median, mode and range"},"content":{"rendered":"\n<h3 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Calculate mean, median, mode and range<\/strong><\/h3>\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-efb0821b255ba676312fb326da1a10ab\" style=\"color:#000060\"><strong>Mean:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Definition:<\/strong> The mean (average) is found by adding up all the numbers in a data set and dividing by the number of items.<\/li>\n\n\n\n<li><strong>Formula:<\/strong> Mean = (Sum of all numbers) \/ (Number of items)<\/li>\n\n\n\n<li><strong>Example:<\/strong> Calculate the mean of the numbers 12, 15, 18, 20, and 25:\n<ul class=\"wp-block-list\">\n<li>Mean = (12 + 15 + 18 + 20 + 25) \/ 5<\/li>\n\n\n\n<li>Mean = 90 \/ 5<\/li>\n\n\n\n<li>Mean = 18<\/li>\n<\/ul>\n<\/li>\n<\/ul>\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-358a8073b64dbc4c9f6f56d48b623536\" style=\"color:#000060\"><strong>Median:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Definition:<\/strong> The median is the middle value in a sorted list of numbers. If there&#8217;s an even number of values, it&#8217;s the average of the two middle numbers.<\/li>\n\n\n\n<li><strong>Steps:<\/strong>\n<ol class=\"wp-block-list\">\n<li>Arrange the numbers in ascending order.<\/li>\n\n\n\n<li>If the number of items (n) is odd, the median is the (n+1)\/2-th item.<\/li>\n\n\n\n<li>If the number of items (n) is even, the median is the average of the n\/2-th and (n\/2 + 1)-th items.<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li><strong>Example:<\/strong> Find the median of 12, 15, 18, 20, and 25:\n<ul class=\"wp-block-list\">\n<li>Arranged in order: 12, 15, 18, 20, 25<\/li>\n\n\n\n<li>Median = 18 (middle value)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\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 wp-elements-926de2db45f531d4cd3beea52e6f36c3\" style=\"color:#000060\"><strong>Mode:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Definition:<\/strong> The mode is the number that appears most frequently in a data set.<\/li>\n\n\n\n<li><strong>Example:<\/strong> In the set 12, 15, 18, 20, 20, 25:\n<ul class=\"wp-block-list\">\n<li>Mode = 20 (appears most frequently)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\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 wp-elements-89ea7ddc417143f4515376f4b2b8b5a4\" style=\"color:#000060\"><strong>Range:<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\">Range = 13<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Definition:<\/strong> The range is the difference between the largest and smallest values in a data set.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Formula:<\/strong> Range = Largest value &#8211; Smallest value<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example:<\/strong> For the numbers 12, 15, 18, 20, and 25:<\/p>\n\n\n\n<p class=\"has-large-font-size\">Range = 25 &#8211; 12<\/p>\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 has-large-font-size\" style=\"background-color:#3b0101\"><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 has-link-color wp-elements-143489a88426dad54f44cf8bebd570ec\"><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-c1276e6a2de141f2b581fdc54ee61112\"><strong>A botanical garden supplied seedlings to 6 schools for Earth Day. The schools requested:<br><\/strong>6&nbsp;seedlings    7&nbsp;seedlings    7&nbsp;seedlings   8&nbsp;seedlings   7&nbsp;seedlings   9&nbsp;seedlings<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-315fb7ddfba9549c33faff1bacdcfbc0\" style=\"color:#b00012\"><strong><br><\/strong>What was the range of the numbers of seedlings requested?<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color wp-elements-2488fec874794377cd6d1b1551966e9e\" style=\"color:#b00012\"><strong>______seedlings<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-9bb71a86a8da844ce8a6c150ca3b1a23\">First, find the greatest number. The greatest number is 9.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-bd3eec8c53ab24e32f89de30678557c4\">Next, find the least number. The least number is 6.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-25f1e3a5107282f3b056e91c4c744b43\">Subtract the least number from the greatest number:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-2898074ce0ac3487708482db5fae7df5\">9 \u2212 6 = 3<br>The range of the numbers of seedlings requested was 3.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#1f3d01\"><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-6d98b8075ce45fb0a4538c6be39b77a6\" style=\"color:#b00012\"><strong>What is the mean?<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-66d88d53b0a33b2524eb2cc62af7eaf5\">-7  -7   -9    -8   -8   -9   -8  -8 <\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-b720a4c7fbb0d9652c1817323e1050be\">First, count how many numbers are in the group.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-2795ef0f6eb49f2924aca0705a6f7eff\">There are 8 numbers.<br>Now add all the numbers together:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-5570d72043d3fee99e9c0ed18babeafb\">-7 +&nbsp;-7 +&nbsp;-9 +&nbsp;-8 +&nbsp;-8 +&nbsp;-9 +&nbsp;-8 +&nbsp;-8 =&nbsp;-64<br>Now divide the sum by the number of numbers:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-e849bb786656d6f48a1833e4ca739334\">-64 \u00f7 8 =&nbsp;-8<br>The mean is&nbsp;-8 .<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#433c03\"><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-6e999a5a9769d87ef765790c9a14b995\" style=\"color:#b00012\"><strong>What is the mode?<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color wp-elements-1d359a2e0b85f5fc898522ba19b0bedb\">-3 -5 -3 -3 -6 -5 -6 -3 <\/p>\n\n\n\n<p>mode=______<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-0dee8db26e5df72c684657c822a9142d\">First, arrange the numbers from least to greatest. Remember that with negative numbers, larger numbers like&nbsp;<sup>\u2013<\/sup>6 (if you ignore the minus sign) are&nbsp;<em>less<\/em>&nbsp;than smaller numbers.<br>-6 -6 -5 -5 -3 -3 -3 -3<br>Now count how many times each number appears.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-0c657e0400ec0835c061bfebd2c39c9e\">-6 appears 2 times.<br>-5 appears 2 times.<br>-3 appears 4 times.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-2eb734df8f387859de060e6b471281a3\">The number that appears most often is&nbsp;-3.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-0c1f4577dff081d81bd15fb5cd1e5446\">The mode is&nbsp;-3.<\/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\/75549\/283\/565\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-201.png\" alt=\"\" class=\"wp-image-9157\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-201.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-201-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-201-150x150.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\/89989\/583\/141\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-207.png\" alt=\"\" class=\"wp-image-9158\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-207.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-207-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-207-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Calculate mean, median, mode and range key notes : Mean: Median: Mode: Range: Range = 13 Definition: The range is the difference between the largest and smallest values in a data set. Formula: Range = Largest value &#8211; Smallest value Example: For the numbers 12, 15, 18, 20, and 25: Range = 25 &#8211; 12<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/aa-1-calculate-mean-median-mode-and-range\/\">Continue reading <span class=\"screen-reader-text\">&#8220;AA.1 Calculate 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-541","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\/541","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=541"}],"version-history":[{"count":22,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/541\/revisions"}],"predecessor-version":[{"id":20386,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/541\/revisions\/20386"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=541"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}