{"id":545,"date":"2022-04-13T05:29:58","date_gmt":"2022-04-13T05:29:58","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=545"},"modified":"2025-04-08T09:12:39","modified_gmt":"2025-04-08T09:12:39","slug":"aa-3-mean-median-mode-and-range-find-the-missing-number","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/aa-3-mean-median-mode-and-range-find-the-missing-number\/","title":{"rendered":"AA.3 Mean, median, mode and range: find the missing number"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Mean, median, mode and range: find the missing number<\/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-25999e46f7738ae737892cfd373e127d\" style=\"color:#000060\">\ud83d\udd22 <strong>Mean (Average)<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Definition<\/strong>: The <strong>mean<\/strong> is the sum of all numbers divided by the total number of values.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"321\" height=\"66\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-7.png\" alt=\"\" class=\"wp-image-20397\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-7.png 321w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2025\/04\/image-7-300x62.png 300w\" sizes=\"auto, (max-width: 321px) 100vw, 321px\" \/><\/figure><\/div>\n\n\n<p class=\"has-large-font-size\"><strong>To find a missing number<\/strong>:<ul><li class=\"\">Multiply the <strong>mean<\/strong> by the number of values to get the <strong>total sum<\/strong>.Subtract the <strong>known values&#8217; sum<\/strong> from the total to find the <strong>missing number<\/strong>.<\/li><\/ul><strong>Example<\/strong>:<br>Mean = 6; Numbers: 4, 6, __, 8<br>Total = 6 \u00d7 4 = 24<br>Known sum = 4 + 6 + 8 = 18<br>Missing number = 24 \u2013 18 = <strong>6<\/strong><\/p>\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-62a99cab87457563fe9b4f21016f42a2\" style=\"color:#000060\">\ud83d\udff0 <strong>Median<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>Definition<\/strong>: The <strong>median<\/strong> is the middle number in an ordered list.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Steps to find a missing number<\/strong>:<ul><li class=\"\">Arrange the values (including a placeholder for the missing one).<\/li><li class=\"\">Use the position of the median to set up an equation.<\/li><li class=\"\">Solve for the missing number.<\/li><\/ul><strong>Example<\/strong>:<br>Numbers: 3, __, 7<br>Median = 5<br>So the list becomes: 3, __, 7<br>To get a median of 5, the missing number must be <strong>5<\/strong>.<\/p>\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-a3cc02a07d8f69a13d5aa056c6408d48\" style=\"color:#000060\">\ud83e\uddee <strong>Mode<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>Definition<\/strong>: The <strong>mode<\/strong> is the number that appears <strong>most often<\/strong>.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>To find the missing number<\/strong>:<ul><li class=\"\">Check the frequency of each number.<\/li><li class=\"\">Set the missing number so that it matches the mode requirement.<\/li><\/ul><strong>Example<\/strong>:<br>Numbers: 2, 4, 4, __, 6<br>Mode = 4<br>So the missing number should <strong>not appear more than twice<\/strong>, or must be another <strong>4<\/strong> to increase the mode\u2019s frequency.<\/p>\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-cf55bef210b83f9bf4afd9c368906c19\" style=\"color:#000060\">\ud83d\udccf <strong>Range<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\"><strong>Definition<\/strong>: The <strong>range<\/strong> is the difference between the <strong>highest<\/strong> and <strong>lowest<\/strong> numbers. <strong>Range=Highest\u2212Lowest<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>To find the missing number<\/strong>:<ul><li class=\"\">Use the given range and known values to set up an equation.<\/li><\/ul><strong>Example<\/strong>:<br>Numbers: 3, 6, 8, __<br>Range = 7<br>If __ is the highest:<br>__ \u2013 3 = 7 \u2192 Missing number = <strong>10<\/strong><\/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-color has-text-color has-background has-link-color has-large-font-size wp-elements-204bef559ca851e6b72c9f55dfb065c1\" style=\"background-color:#360239\"><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 has-large-font-size wp-elements-90f17d37db81691a8223d485da34ff07\"><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-027f2d2f6aee1325ddbd792f87f6cfa0\" style=\"color:#b00012\">Erik has the following data:<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#cf7171\">11       7         13        7        p       15<\/p>\n\n\n\n<p>If the mean is 10, which number could&nbsp;<em>p<\/em>&nbsp;be?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7<\/li>\n\n\n\n<li>13<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>There are 6 numbers in the group.<\/p>\n\n\n\n<p>Try p = 7.<\/p>\n\n\n\n<p>Find the sum of the numbers.<\/p>\n\n\n\n<p>11 + 7 + 13 + 7 + 7 + 15 = 60<\/p>\n\n\n\n<p>Divide by 6.<\/p>\n\n\n\n<p>60 \u00f7 6 = 10<\/p>\n\n\n\n<p>When p = 7, the mean is 10.<\/p>\n\n\n\n<p>Try p = 13.<\/p>\n\n\n\n<p>Find the sum of the numbers.<\/p>\n\n\n\n<p>11 + 7 + 13 + 7 + 13 + 15 = 66<\/p>\n\n\n\n<p>Divide by 6.<\/p>\n\n\n\n<p>66 \u00f7 6 = 11<\/p>\n\n\n\n<p>When p = 13, the mean is 11.<\/p>\n\n\n\n<p>The mean is 10, so p = 7.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-ccb03869dbca60df9b485c9eda2541ff\" style=\"background-color:#044318\"><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-a2f8ef500a573f68339b4cadfa9a85d0\" style=\"color:#b00012\">Bryan has the following data:<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#60acbc\">3   11   x   18<\/p>\n\n\n\n<p>If the mode is 3, which number could&nbsp;<em>x<\/em>&nbsp;be?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3<\/li>\n\n\n\n<li>18<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Try x = 3.<\/p>\n\n\n\n<p>Arrange the numbers from least to greatest.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#3f41bb\">3     3    11     18<\/p>\n\n\n\n<p><br>The number that appears most often is 3. When x = 3, the mode is 3.<\/p>\n\n\n\n<p>Try x = 18.<\/p>\n\n\n\n<p>Arrange the numbers from least to greatest.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#336de1\">3    11    18     18<\/p>\n\n\n\n<p><br>The number that appears most often is 18. When x = 18, the mode is 18.<\/p>\n\n\n\n<p>The mode is 3, so x = 3.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background-color has-text-color has-background has-link-color has-large-font-size wp-elements-533ffc52e6c8d24f26d387891636e3f2\" style=\"background-color:#0d013b\"><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-8d472d83b7971c0ff1a721c4bd70cfd1\" style=\"color:#b00012\">Lisa has the following data:<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#62c0da\">3      2     19      17    11     p<\/p>\n\n\n\n<p>If the mode is 3, which number could&nbsp;<em>p<\/em>&nbsp;be?<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>11<\/li>\n\n\n\n<li>3<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Try p = 11.<\/p>\n\n\n\n<p>Arrange the numbers from least to greatest.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#9b1d79\">2    3    11   11    17   19<\/p>\n\n\n\n<p><br>The number that appears most often is 11. When p = 11, the mode is 11.<\/p>\n\n\n\n<p>Try p = 3.<\/p>\n\n\n\n<p>Arrange the numbers from least to greatest.<\/p>\n\n\n\n<p class=\"has-background\" style=\"background-color:#983588\">2    3    3     11     17     19<\/p>\n\n\n\n<p><br>The number that appears most often is 3. When p = 3, the mode is 3.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-b92c3f7571a56ba879d607df4c482376\">The mode is 3, so p = 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\/75550\/967\/602\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-199.png\" alt=\"\" class=\"wp-image-9150\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-199.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-199-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-199-150x150.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\/89992\/490\/828\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-205.png\" alt=\"\" class=\"wp-image-9151\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-205.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-205-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-205-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Mean, median, mode and range: find the missing number key notes : \ud83d\udd22 Mean (Average) Definition: The mean is the sum of all numbers divided by the total number of values. To find a missing number: Multiply the mean by the number of values to get the total sum.Subtract the known values&#8217; sum from the<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/aa-3-mean-median-mode-and-range-find-the-missing-number\/\">Continue reading <span class=\"screen-reader-text\">&#8220;AA.3 Mean, median, mode and range: find the missing number&#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-545","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\/545","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=545"}],"version-history":[{"count":25,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/545\/revisions"}],"predecessor-version":[{"id":20422,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/545\/revisions\/20422"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}