e39465ad2f
new file: Files/flashplayer_32_sa.exe
new file: favicon.ico
new file: globe.gif
new file: imgs/download.png
new file: imgs/zuck.jpg
new file: index.html
new file: other.ico
new file: script.js
new file: site.webmanifest
new file: sitemap.html
new file: styles/backround.css
new file: styles/border.css
new file: styles/fonts/Titillium_Web/OFL.txt
new file: styles/fonts/Titillium_Web/TitilliumWeb-Black.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Bold.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-BoldItalic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-ExtraLight.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-ExtraLightItalic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Italic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Light.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-LightItalic.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-Regular.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-SemiBold.ttf
new file: styles/fonts/Titillium_Web/TitilliumWeb-SemiBoldItalic.ttf
new file: styles/fonts/webfontkit-20221027-163353/generator_config.txt
new file: styles/fonts/webfontkit-20221027-163353/specimen_files/grid_12-825-55-15.css
new file: styles/fonts/webfontkit-20221027-163353/specimen_files/specimen_stylesheet.css
new file: styles/fonts/webfontkit-20221027-163353/stylesheet.css
new file: styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-demo.html
new file: styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-webfont.woff
new file: styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-webfont.woff2
new file: styles/fonts/webfontkit-20221027-165950/generator_config.txt
new file: styles/fonts/webfontkit-20221027-165950/specimen_files/grid_12-825-55-15.css
new file: styles/fonts/webfontkit-20221027-165950/specimen_files/specimen_stylesheet.css
new file: styles/fonts/webfontkit-20221027-165950/stylesheet.css
new file: styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-demo.html
new file: styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-webfont.woff
new file: styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-webfont.woff2
new file: styles/style.css
new file: tools/2048/.gitignore
new file: tools/2048/.jshintrc
new file: tools/2048/CONTRIBUTING.md
new file: tools/2048/LICENSE.txt
new file: tools/2048/README.md
new file: tools/2048/Rakefile
new file: tools/2048/favicon.ico
new file: tools/2048/index.html
new file: tools/2048/js/animframe_polyfill.js
new file: tools/2048/js/application.js
new file: tools/2048/js/bind_polyfill.js
new file: tools/2048/js/classlist_polyfill.js
new file: tools/2048/js/game_manager.js
new file: tools/2048/js/grid.js
new file: tools/2048/js/html_actuator.js
new file: tools/2048/js/keyboard_input_manager.js
new file: tools/2048/js/local_storage_manager.js
new file: tools/2048/js/tile.js
new file: tools/2048/meta/apple-touch-icon.png
new file: tools/webretro/cores/neocd_libretro.js
new file: tools/webretro/cores/neocd_libretro.wasm
new file: tools/webretro/cores/nestopia_libretro.js
new file: tools/webretro/cores/nestopia_libretro.wasm
new file: tools/webretro/cores/o2em_libretro.js
new file: tools/webretro/cores/o2em_libretro.wasm
new file: tools/webretro/cores/opera_libretro.js
new file: tools/webretro/cores/opera_libretro.wasm
175 lines
6.2 KiB
HTML
175 lines
6.2 KiB
HTML
<!DOCTYPE html>
|
|
<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
|
|
|
|
<!-- Mirrored from www.mathsisfun.com/mode.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:41:48 GMT -->
|
|
<head>
|
|
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
|
|
|
|
<!-- #BeginEditable "doctitle" -->
|
|
<title>How to Calculate the Mode or Modal Value</title>
|
|
<!-- #EndEditable -->
|
|
<meta name="keywords" content="math, maths, mathematics, school, homework, education">
|
|
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
|
|
<meta name="HandheldFriendly" content="true">
|
|
<meta name="referrer" content="always">
|
|
<link rel="preload" href="images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin="">
|
|
<link rel="preload" href="style4.css" as="style">
|
|
<link rel="preload" href="main4.js" as="script">
|
|
<link rel="stylesheet" href="style4.css">
|
|
<script src="main4.js" defer="defer"></script>
|
|
<!-- Global site tag (gtag.js) - Google Analytics -->
|
|
<script async="" src="https://www.googletagmanager.com/gtag/js?id=UA-29771508-1"></script>
|
|
<script>
|
|
window.dataLayer = window.dataLayer || [];
|
|
function gtag(){dataLayer.push(arguments);}
|
|
gtag('js', new Date());
|
|
gtag('config', 'UA-29771508-1');
|
|
</script>
|
|
</head>
|
|
|
|
<body id="bodybg">
|
|
|
|
<div id="stt"></div>
|
|
<div id="adTop"></div>
|
|
<header>
|
|
<div id="hdr"></div>
|
|
<div id="tran"></div>
|
|
<div id="adHide"></div>
|
|
<div id="cookOK"></div>
|
|
</header>
|
|
|
|
<div class="mid">
|
|
|
|
<nav>
|
|
<div id="menuWide" class="menu"></div>
|
|
<div id="logo"><a href="index.html"><img src="images/style/logo.svg" alt="Math is Fun"></a></div>
|
|
|
|
<div id="search" role="search"></div>
|
|
<div id="linkto"></div>
|
|
|
|
<div id="menuSlim" class="menu"></div>
|
|
<div id="menuTiny" class="menu"></div>
|
|
</nav>
|
|
|
|
<div id="extra"></div>
|
|
|
|
<article id="content" role="main">
|
|
|
|
<!-- #BeginEditable "Body" -->
|
|
|
|
|
|
<h1 class="center">How to Find the Mode or Modal Value</h1>
|
|
|
|
<p class="center">The mode is simply the number which appears <b>most often</b>.</p>
|
|
|
|
<div class="example">
|
|
<p style="float:right; margin: 0 0 5px 10px;"><img src="data/images/mode.svg" alt="mode example" height="151" width="225"></p>
|
|
|
|
<h3>Example:</h3>
|
|
<p>In {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6, as it occurs most often.</p>
|
|
</div>
|
|
|
|
|
|
<h2>Finding the Mode</h2>
|
|
|
|
<p>To find the
|
|
mode it is best to put the numbers <b>in order</b> (makes it easier to count them), then <b>count</b> how many of each number. A number that appears <b>most often</b> is the <b>mode</b>.</p>
|
|
|
|
<div class="example">
|
|
|
|
<h3>Example:</h3>
|
|
<p class="center larger">3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29</p>
|
|
<p><b>In order</b> these numbers are:</p>
|
|
<p class="center larger">3, 5, 7, 12, 13, 14, 20, <b>23, 23, 23, 23</b>, 29, 39, 40, 56</p>
|
|
<p>We can now easily see which numbers appear <b>most often</b>.</p>
|
|
<p class="center larger">In this case the mode is <b>23</b>.</p>
|
|
</div>
|
|
|
|
<div class="example">
|
|
|
|
<h3>Another Example: {19, 8, 29, 35, 19, 28, 15}</h3>
|
|
<p>Arrange them in order: <b>{8, 15, 19, 19, 28, 29, 35}</b></p>
|
|
<p>19 appears twice, all the rest appear only once, so <b>19 is the mode</b>.</p>
|
|
</div>
|
|
<div class="center80">
|
|
<p class="center"><i>How to remember? Think "mode is most"</i></p>
|
|
</div>
|
|
|
|
|
|
<h2>More Than One Mode</h2>
|
|
|
|
<p>We can have more than one mode.</p>
|
|
|
|
<div class="example">
|
|
|
|
<h3>Example: {1, 3, 3, 3, 4, 4, 6, 6, 6, 9}</h3>
|
|
<p>3 appears three times, as does 6.</p>
|
|
<p>So there are two modes: at <b>3</b> and <b>6</b></p>
|
|
</div>
|
|
<p>Having two modes is called <b>"bimodal"</b>.</p>
|
|
<p>Having more than two modes is called <b>"multimodal"</b>.</p>
|
|
<h2>Try it Yourself</h2>
|
|
<div class="script" style="height: 130px;">
|
|
data/images/mode.js
|
|
</div>
|
|
|
|
|
|
<h2>Grouping</h2>
|
|
|
|
<p>In some cases (such as when all values appear the same number of times) the mode is not useful. But we can <b>group</b> the values to see if one group has more than the others.</p>
|
|
|
|
<div class="example">
|
|
|
|
<h3>Example: {4, 7, 11, 16, 20, 22, 25, 26, 33}</h3>
|
|
<p>Each value occurs once, so let us try to group them.</p>
|
|
<p>We can try groups of 10:</p>
|
|
<ul>
|
|
<li>0-9: <b>2 values</b> (4 and 7)</li>
|
|
<li>10-19: <b>2 values</b> (11 and 16)</li>
|
|
<li>20-29: <b>4 values</b> (20, 22, 25 and 26)</li>
|
|
<li>30-39: <b>1 value</b> (33)</li>
|
|
</ul>
|
|
<p>In groups of 10, the "20s" appear most often, so we could choose <b>25</b> (the middle of the 20s group) as the mode.</p>
|
|
<p>You could use different groupings and get a different answer.</p>
|
|
</div>
|
|
<p>Grouping also helps to find what the typical values are when the real world messes things up!</p>
|
|
|
|
<div class="example">
|
|
|
|
<h3>Example: How long to fill a pallet?</h3>
|
|
<p class="center"><img src="data/images/pallets.jpg" alt="pallets" height="153" width="360"></p>
|
|
<p>Philip recorded how long it takes to fill a pallet in minutes:</p>
|
|
<p class="center">{35, 36, 32, 42, 58, 56, 35, 39, 46, 47, 34, 37}</p>
|
|
<p>It takes longer when there is break time or lunch so an average is not very useful.</p>
|
|
<p>But grouping by 5s gives:</p>
|
|
<ul>
|
|
<li>30-34: <b>2</b></li>
|
|
<li>35-39: <b>5</b></li>
|
|
<li>40-44: <b>1</b></li>
|
|
<li>45-49: <b>2</b></li>
|
|
<li>50-54: <b>0</b></li>
|
|
<li>54-59: <b>2</b></li>
|
|
</ul>
|
|
<p>"35-39" appear most often, so we can say it normally takes <b>about 37 minutes</b> to fill a pallet.</p>
|
|
</div>
|
|
<p> </p>
|
|
<p> </p>
|
|
<div class="questions">1460, 1461, 1462, 1463, 3794, 3796, 3797, 3058, 3059, 3795</div>
|
|
|
|
<div class="related">
|
|
<a href="mean.html">Mean</a>
|
|
<a href="median.html">Median</a>
|
|
<a href="data/central-measures.html">Central Measures</a>
|
|
</div>
|
|
<!-- #EndEditable -->
|
|
|
|
</article>
|
|
|
|
<div id="adend" class="centerfull noprint"></div>
|
|
<footer id="footer" class="centerfull noprint"></footer>
|
|
<div id="copyrt">Copyright © 2022 Rod Pierce</div>
|
|
|
|
</div>
|
|
</body><!-- #EndTemplate -->
|
|
<!-- Mirrored from www.mathsisfun.com/mode.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:41:49 GMT -->
|
|
</html> |