{"id":27677,"date":"2026-10-18T06:12:17","date_gmt":"2026-10-18T06:12:17","guid":{"rendered":"https:\/\/blog.oratrics.com\/?p=27677"},"modified":"2026-10-18T13:02:44","modified_gmt":"2026-10-18T13:02:44","slug":"find-the-mean-of-first-six-odd-number","status":"publish","type":"post","link":"https:\/\/oratrics.com\/blogs\/math-explorer-program\/find-the-mean-of-first-six-odd-number\/","title":{"rendered":"Mean of First Six Odd Numbers: Step-by-Step Solution and Formula"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"27677\" class=\"elementor elementor-27677\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4551e47 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"4551e47\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a640cdd\" data-id=\"a640cdd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-9647aea\" data-id=\"9647aea\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b46dfd8 elementor-widget elementor-widget-heading\" data-id=\"b46dfd8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\"> Mean of First Six Odd Numbers: Step by Step Solution and Formula\n<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b50897c elementor-widget elementor-widget-text-editor\" data-id=\"b50897c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The mean of the six odd numbers is 6.<\/span><\/p><p><span style=\"font-weight: 400;\">That is the answer to the question &#8220;find the mean of six odd numbers&#8221; and it takes three lines to reach that result. The rest of this page shows those three lines, a faster method then why the mean equals 6 and not some random number. If you need to find the mean of the six odd numbers for a Class 9 worksheet the working below is what your teacher expects.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24ed402 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"24ed402\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/demo.oratrics.com\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Book a Free Demo Today<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-57f662a elementor-widget elementor-widget-image\" data-id=\"57f662a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"647\" src=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/8fd5e4e4-cef4-4364-8ca2-4b96954c47bb-1024x647.webp\" class=\"attachment-large size-large wp-image-28139\" alt=\"Find the mean of the first six odd numbers with a simple maths explanation.\" srcset=\"https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/8fd5e4e4-cef4-4364-8ca2-4b96954c47bb-1024x647.webp 1024w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/8fd5e4e4-cef4-4364-8ca2-4b96954c47bb-300x190.webp 300w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/8fd5e4e4-cef4-4364-8ca2-4b96954c47bb-768x486.webp 768w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/8fd5e4e4-cef4-4364-8ca2-4b96954c47bb-1536x971.webp 1536w, https:\/\/blog.oratrics.com\/wp-content\/uploads\/2026\/10\/8fd5e4e4-cef4-4364-8ca2-4b96954c47bb.webp 1577w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-62bc8a8\" data-id=\"62bc8a8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-76e5bd6 elementor-widget elementor-widget-html\" data-id=\"76e5bd6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t<link rel=\"preconnect\" href=\"https:\/\/fonts.googleapis.com\">\r\n<link href=\"https:\/\/fonts.googleapis.com\/css2?family=Poppins:wght@400;500;600;700&display=swap\" rel=\"stylesheet\">\r\n\r\n<div class=\"toc-wrapper\">\r\n    \r\n    \r\n    <div class=\"custom-toc\" id=\"custom-toc\">\r\n        <div class=\"toc-title\">\r\n            \u2630 Table of Contents\r\n        <\/div>\r\n        <ul class=\"toc-list\" id=\"toc-list\"><\/ul>\r\n    <\/div>\r\n    \r\n<\/div>\r\n\r\n<style>\r\n\/* Parent Fixed Wrapper holding both components together *\/\r\n.toc-wrapper {\r\n    position: fixed;\r\n    top: 150px; 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\r\n        overflow-y: visible;\r\n    }\r\n\r\n    .custom-toc .toc-title {\r\n        font-size: 25px;\r\n    }\r\n\r\n    .custom-toc .toc-list a {\r\n        font-size: 14px;\r\n    }\r\n}\r\n<\/style>\r\n\r\n<script>\r\ndocument.addEventListener(\"DOMContentLoaded\", function () {\r\n    const tocList = document.getElementById(\"toc-list\");\r\n    const h1 = document.querySelector(\"h1\");\r\n    const h2s = document.querySelectorAll(\"h2\");\r\n\r\n    function createId(text) {\r\n        return text.toLowerCase().replace(\/[^a-z0-9]+\/g, '-');\r\n    }\r\n\r\n    if (h1) {\r\n        if (!h1.id) {\r\n            h1.id = createId(h1.innerText);\r\n        }\r\n        const li = document.createElement(\"li\");\r\n        li.innerHTML = `<a href=\"#${h1.id}\">${h1.innerText}<\/a>`;\r\n        tocList.appendChild(li);\r\n    }\r\n\r\n    h2s.forEach(h2 => {\r\n        if (!h2.id) {\r\n            h2.id = createId(h2.innerText);\r\n        }\r\n        const li = document.createElement(\"li\");\r\n        li.classList.add(\"toc-h2\");\r\n        li.innerHTML = `<a href=\"#${h2.id}\">${h2.innerText}<\/a>`;\r\n        tocList.appendChild(li);\r\n    });\r\n});\r\n<\/script>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1b8caed elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1b8caed\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-082cce0\" data-id=\"082cce0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-6207ffc\" data-id=\"6207ffc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5109068 elementor-widget elementor-widget-heading\" data-id=\"5109068\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"> Step by Step Solution<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c948f29 elementor-widget elementor-widget-text-editor\" data-id=\"c948f29\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The first six odd numbers are 1, 3, 5 7, 9 and 11. (In this question &#8220;odd numbers&#8221; means natural numbers so we start from 1 not from a negative number.)<\/span><\/p><p><b>Step 1<\/b><span style=\"font-weight: 400;\">. Add them up.<\/span><\/p><p><span style=\"font-weight: 400;\">1 + 3 + 5. 7 + 9 + 11 = 36<\/span><\/p><p><b>Step 2. <\/b><span style=\"font-weight: 400;\">Count them. There are 6.<\/span><\/p><p><b>Step 3.<\/b><span style=\"font-weight: 400;\"> Divide the sum by the count.<\/span><\/p><p><span style=\"font-weight: 400;\">The mean = 36 \u00f7 6 = 6<\/span><\/p><p><span style=\"font-weight: 400;\">So the mean is 6. A habit before moving on: check that the mean sits between the smallest and largest numbers. 6 Is between 1 and 11 so it passes.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c3025e7\" data-id=\"c3025e7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b428f0f elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"b428f0f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c9598ff\" data-id=\"c9598ff\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-93342fb\" data-id=\"93342fb\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cfa2fdf elementor-widget elementor-widget-heading\" data-id=\"cfa2fdf\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">The Mean Formula<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1dcc1b6 elementor-widget elementor-widget-text-editor\" data-id=\"1dcc1b6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The mean = (sum of all the numbers) \u00f7 (how numbers there are)<\/span><\/p><p>\u00a0<\/p><p><span style=\"font-weight: 400;\">Nothing more to it. Add, count, divide. The only place students slip is the counting. Six numbers means you divide by 6 not by 5 and not by the number.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-5151025\" data-id=\"5151025\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-13e8d12 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"13e8d12\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-4587ae0\" data-id=\"4587ae0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-a489a34\" data-id=\"a489a34\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-64ad3f2 elementor-widget elementor-widget-heading\" data-id=\"64ad3f2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">A Quicker Way: Pair the Ends\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-183e298 elementor-widget elementor-widget-text-editor\" data-id=\"183e298\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The odd numbers go up by 2 each time so they form a progression. When numbers are evenly spaced like this the mean is the average of the first and the last:<\/span><\/p><p><strong>The mean = ( + last) \u00f7 2 = (1 + 11) \u00f7 2 = 6<\/strong><\/p><p><span style=\"font-weight: 400;\">No full addition needed. It works because the numbers pair up around the middle: 1 and 11 make 12, 3 and 9 make 12, 5 and 7 make 12. Three pairs of 12 is 36 and 36 over 6 is 6.<\/span><\/p><h4><strong>Another Quick Way: Odd Numbers and Squares<\/strong><\/h4><p><span style=\"font-weight: 400;\">Here is a pattern worth knowing. Add up the few odd numbers and watch the totals.<\/span><\/p><p><span style=\"font-weight: 400;\">| How many odd numbers | Their sum |<\/span><\/p><p><span style=\"font-weight: 400;\">|&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;-|&#8212;&#8212;&#8212;&#8211;|<\/span><\/p><p><span style=\"font-weight: 400;\">| 1 | 1 |<\/span><\/p><p><span style=\"font-weight: 400;\">| 2 | 4 |<\/span><\/p><p><span style=\"font-weight: 400;\">| 3 | 9 |<\/span><\/p><p><span style=\"font-weight: 400;\">| 4 | 16 |<\/span><\/p><p><span style=\"font-weight: 400;\">| 5 | 25 |<\/span><\/p><p><span style=\"font-weight: 400;\">| 6 | 36 |<\/span><\/p><p><span style=\"font-weight: 400;\">The sum of the odd numbers is n\u00b2. For n = 6 that is 36. Divide by 6. You get the mean:<\/span><\/p><p><strong>The mean = n\u00b2 \u00f7 n = n<\/strong><\/p><p><span style=\"font-weight: 400;\">So the mean of the odd numbers is just n. The first six have a mean of 6. The first ten have a mean of 10. The first twenty have a mean of 20 because they add up to 400. You can check any of these by hand. It holds every time.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-0f8fe54\" data-id=\"0f8fe54\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3bafc16 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"3bafc16\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-34f44f0\" data-id=\"34f44f0\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-ac39f7c\" data-id=\"ac39f7c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fb5d3ec elementor-widget elementor-widget-heading\" data-id=\"fb5d3ec\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">The Assumed Mean Method\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5774aeb elementor-widget elementor-widget-text-editor\" data-id=\"5774aeb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Some syllabuses want this one, for bigger data sets but it works here too.<\/span><\/p><p><span style=\"font-weight: 400;\">Pick a mean say a = 5. Find the deviation of each number from it:<\/span><\/p><p><span style=\"font-weight: 400;\">1 \u2212 5 = \u22124 3 \u2212 5 = \u22122, 5 \u2212 5 = 0 7 \u2212 5 = 2 9 \u2212 5 = 4 11 \u2212 5 = 6<\/span><\/p><p><span style=\"font-weight: 400;\">Add the deviations: \u22124 \u2212 2. 0 +. 4 + 6 = 6.<\/span><\/p><p><span style=\"font-weight: 400;\">The mean = a + (sum of deviations \u00f7 n) = 5. 6 \u00f7 6 = 5 + 1 = 6<\/span><\/p><p><span style=\"font-weight: 400;\">Same answer. Try a = 6. The deviations come out as \u22125 \u22123, \u22121, 1 3 5 which add up to 0. That is the clue that 6&#8217;s the mean because the deviations from the true mean always cancel to zero.<\/span><\/p><p><strong>Why the Answer Is 6<\/strong><\/p><p><span style=\"font-weight: 400;\">The numbers 1, 3 5 7 9 and 11 are spread evenly.<\/span><\/p><p><span style=\"font-weight: 400;\">There are three numbers below 6 and three numbers above 6. They are the same distances away: 5, 3 and 1 below and 1, 3 and 5 above.<\/span><\/p><p><span style=\"font-weight: 400;\">The mean is the balance point of the list and in a symmetric list the balance point is the middle.<\/span><\/p><p><strong>Here the middle falls between 5 and 7 which&#8217;s 6.<\/strong><\/p><p><span style=\"font-weight: 400;\">That is also the median so for this list the mean and median are equal.<\/span><\/p><p><strong>Proof That the Sum Is n\u00b2<\/strong><\/p><p><span style=\"font-weight: 400;\">Write the sum of the n odd numbers twice, once forward and once backward.<\/span><\/p><p><span style=\"font-weight: 400;\">S = 1 + 3 + 5&#8230;.. 2N \u2212 1)<\/span><\/p><p><span style=\"font-weight: 400;\">S = (2n \u2212 1) +&#8230;. 5 + 3 + 1<\/span><\/p><p><span style=\"font-weight: 400;\">Add the two lines, column by column. Every column adds to 2n. There are n columns.<\/span><\/p><p><span style=\"font-weight: 400;\">So 2S = n \u00d7 2n = 2n\u00b2, which means S = n\u00b2.<\/span><\/p><p><span style=\"font-weight: 400;\">For n = 6 that gives 36 matching the sum.<\/span><\/p><p><strong>Mean, Median and Mode of 1 3 5 7 9 11<\/strong><\/p><p><span style=\"font-weight: 400;\">The mean is 6.<\/span><\/p><p><span style=\"font-weight: 400;\">The median is also 6 found by taking the two numbers, 5 and 7 and averaging them.<\/span><\/p><p><span style=\"font-weight: 400;\">The mode does not exist, because every value appears once.<\/span><\/p><p><span style=\"font-weight: 400;\">The range is 11 \u2212 1 = 10.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-39eb1ca\" data-id=\"39eb1ca\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a20287c elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"a20287c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-74dafce\" data-id=\"74dafce\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-bc590c9\" data-id=\"bc590c9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d273032 elementor-widget elementor-widget-heading\" data-id=\"d273032\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">A Word Problem<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eeb7e3a elementor-widget elementor-widget-text-editor\" data-id=\"eeb7e3a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The houses on one side of a street are numbered 1, 3, 5, 7, 9 and 11.<\/span><\/p><p><strong>What is the mean house number?<\/strong><\/p><p><span style=\"font-weight: 400;\">Add the numbers to get 36, divide by the 6 houses and the mean house number is 6.<\/span><\/p><p><span style=\"font-weight: 400;\">There is no house with that number on this side of the street because 6 is even, which is a reminder that a mean does not have to be one of the values in the list.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-3235617\" data-id=\"3235617\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c8e571b elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"c8e571b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-201a25a\" data-id=\"201a25a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-398875b\" data-id=\"398875b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d01a009 elementor-widget elementor-widget-heading\" data-id=\"d01a009\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Nearby Questions\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dc4af5f elementor-widget elementor-widget-text-editor\" data-id=\"dc4af5f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">These come up in the chapter and the pattern makes them quick.<\/span><\/p><ul><li><span style=\"font-weight: 400;\">Mean of the six even numbers: 2, 4 6 8 10 12.<\/span><\/li><li><span style=\"font-weight: 400;\">Sum 42 divided by 6 gives 7.<\/span><\/li><li><span style=\"font-weight: 400;\">Mean of the six natural numbers: 1 to 6.<\/span><\/li><li><span style=\"font-weight: 400;\">Sum 21 divided by 6 gives 3.5.<\/span><\/li><li><span style=\"font-weight: 400;\">Mean of the six odd prime numbers: 3 5, 7 11 13 17.<\/span><\/li><li><span style=\"font-weight: 400;\">Sum 56 divided by 6 gives about 9.33.<\/span><\/li><\/ul><p><span style=\"font-weight: 400;\">That last one trips people up. Odd numbers and odd primes are lists. 9 Is odd but not prime. It is missing from the third list and the mean changes completely.<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-c300bf7\" data-id=\"c300bf7\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e233445 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e233445\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-141f3da\" data-id=\"141f3da\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e94f300\" data-id=\"e94f300\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2c025dd elementor-widget elementor-widget-heading\" data-id=\"2c025dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Common Mistakes\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-46a1697 elementor-widget elementor-widget-text-editor\" data-id=\"46a1697\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ul><li><span style=\"font-weight: 400;\">Starting from 3. Some people skip 1 because it is &#8220;not special.&#8221; It is the odd number and leaving it out changes the answer.<\/span><\/li><li><span style=\"font-weight: 400;\">Including 0 or 2. Neither is odd.<\/span><\/li><li><span style=\"font-weight: 400;\">Dividing by 5 or by 11 There are six numbers so the divisor is 6.<\/span><\/li><li><span style=\"font-weight: 400;\">Adding wrongly. 1 + 3 + 5 + 7 + 9 + 11 is 36. A slip of one gives 35 or 37. Neither gives a whole number mean, which is a sign to recheck.<\/span><\/li><li><span style=\"font-weight: 400;\">Mixing up numbers with odd primes as above.<\/span><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-fcecffc\" data-id=\"fcecffc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2024df4 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"2024df4\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-0b43dd5\" data-id=\"0b43dd5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-30f2494\" data-id=\"30f2494\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1e27847 elementor-widget elementor-widget-heading\" data-id=\"1e27847\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\nPractice Questions\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f4388f elementor-widget elementor-widget-text-editor\" data-id=\"0f4388f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ol><li><span style=\"font-weight: 400;\"> Find the mean of the four odd numbers.<\/span><\/li><li><span style=\"font-weight: 400;\"> Find the mean of the ten odd numbers.<\/span><\/li><li><span style=\"font-weight: 400;\"> Find the mean of the eight even numbers.<\/span><\/li><li><span style=\"font-weight: 400;\"> Use ( last) \u00f7 2 to find the mean of 5, 7 9 11 13 15.<\/span><\/li><li><span style=\"font-weight: 400;\"> The mean of the odd numbers is 15. What is n?<\/span><\/li><\/ol><p><b>Answers:<\/b><\/p><p><span style=\"font-weight: 400;\">1) 1. 3 + 5 + 7 = 16 And 16 \u00f7 4 = 4.<\/span><\/p><p><span style=\"font-weight: 400;\">2) 10 Since the sum is 100.<\/span><\/p><p><span style=\"font-weight: 400;\">3) 2. 4 +&#8230; + 16 = 72 And 72 \u00f7 8 = 9.<\/span><\/p><p><span style=\"font-weight: 400;\">4) (5 + 15) \u00f7 2 = 10.<\/span><\/p><p><span style=\"font-weight: 400;\">5) Because the mean equals n n = 15.<\/span><br \/><br \/><\/p><p><strong>Add the six odd numbers to get 36, divide by 6 and the mean is 6.<\/strong><\/p><p><strong>The shortcut is (1 + 11) \u00f7 2 and the pattern behind it is that the mean of the odd numbers is always n.<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-980a677\" data-id=\"980a677\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-66b0524 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"66b0524\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-02ce44f\" data-id=\"02ce44f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-7cdf850\" data-id=\"7cdf850\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f58e71a elementor-widget elementor-widget-heading\" data-id=\"f58e71a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Frequently Asked Questions\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fca6fe6 elementor-widget elementor-widget-accordion\" data-id=\"fca6fe6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2641\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2641\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">How do you find the mean of six odd numbers?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2641\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2641\"><p><span style=\"font-weight: 400;\">To find the mean of the six odd numbers add 1, 3 5 7 9 and 11.<\/span><\/p><p><span style=\"font-weight: 400;\">The total becomes 36.<\/span><\/p><p><span style=\"font-weight: 400;\">Next divide 36 by 6.<\/span><\/p><p><span style=\"font-weight: 400;\">The mean of the six odd numbers is 6.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2642\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2642\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What are the first six odd numbers?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2642\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2642\"><p><span style=\"font-weight: 400;\">The first six odd numbers are 1, 3, 5, 7, 9 and 11.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2643\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-2643\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What is the sum of the six odd numbers?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2643\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-2643\"><p><span style=\"font-weight: 400;\">The sum of the six odd numbers is 36.<\/span><\/p><p><span style=\"font-weight: 400;\">36 Is the same as 6 squared.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2644\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-2644\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">What is the formula for the mean of the odd numbers?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2644\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-2644\"><p><span style=\"font-weight: 400;\">The mean of the odd numbers equals n.<\/span><\/p><p><span style=\"font-weight: 400;\">The sum of the odd numbers is n squared.<\/span><\/p><p><span style=\"font-weight: 400;\">If you divide n squared by n the result is n.<\/span><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2645\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-2645\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">Is the mean the same as the median ?<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2645\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-2645\"><p><span style=\"font-weight: 400;\">The mean is the same as the median.<\/span><\/p><p><span style=\"font-weight: 400;\">Both are 6.<\/span><\/p><p><span style=\"font-weight: 400;\">The numbers are evenly spaced and symmetric around 6.<\/span><\/p><p><br \/><br \/><\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<script type=\"application\/ld+json\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@type\":\"FAQPage\",\"mainEntity\":[{\"@type\":\"Question\",\"name\":\"How do you find the mean of six odd numbers?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">To find the mean of the six odd numbers add 1, 3 5 7 9 and 11.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">The total becomes 36.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">Next divide 36 by 6.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">The mean of the six odd numbers is 6.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What are the first six odd numbers?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">The first six odd numbers are 1, 3, 5, 7, 9 and 11.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What is the sum of the six odd numbers?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">The sum of the six odd numbers is 36.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">36 Is the same as 6 squared.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"What is the formula for the mean of the odd numbers?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">The mean of the odd numbers equals n.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">The sum of the odd numbers is n squared.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">If you divide n squared by n the result is n.<\\\/span><\\\/p>\"}},{\"@type\":\"Question\",\"name\":\"Is the mean the same as the median ?\",\"acceptedAnswer\":{\"@type\":\"Answer\",\"text\":\"<p><span style=\\\"font-weight: 400;\\\">The mean is the same as the median.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">Both are 6.<\\\/span><\\\/p><p><span style=\\\"font-weight: 400;\\\">The numbers are evenly spaced and symmetric around 6.<\\\/span><\\\/p><p><br \\\/><br \\\/><\\\/p>\"}}]}<\/script>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-39e771b\" data-id=\"39e771b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Mean of First Six Odd Numbers: Step by Step Solution and Formula The mean of the six odd numbers is [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":28139,"comment_status":"open","ping_status":"open","sticky":false,"template":"rttpg_full_width","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center 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