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163 lines
5.6 KiB
HTML
163 lines
5.6 KiB
HTML
<!doctype html>
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<html lang="en">
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<!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/mean.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:38:17 GMT -->
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<head>
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<meta charset="UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>How to Calculate the Mean Value</title>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
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<meta name="HandheldFriendly" content="true">
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<meta name="referrer" content="always">
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<link rel="preload" href="images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin>
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<link rel="preload" href="main4.js" as="script">
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</script>
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</head>
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<body id="bodybg">
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<div id="stt"></div>
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<div id="adTop"></div>
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<header>
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<div id="hdr"></div>
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<div id="tran"></div>
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<div id="adHide"></div>
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<div id="cookOK"></div>
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</header>
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<div class="mid">
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<nav>
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<div id="menuWide" class="menu"></div>
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<div id="logo"><a href="index.html"><img src="images/style/logo.svg" alt="Math is Fun"></a></div>
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<div id="search" role="search"></div>
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<div id="linkto"></div>
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<div id="menuSlim" class="menu"></div>
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<div id="menuTiny" class="menu"></div>
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</nav>
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<div id="extra"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<center>
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<h1>How to Find the Mean</h1>
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</center>
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<p class="center">The mean is the <b>average</b> of the numbers.</p>
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<p>It is easy to calculate: <b>add up</b> all the numbers, then <b>divide by how many</b> numbers there are.</p>
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<div class="center80">
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<p class="center larger">In other words it is the <b>sum</b> divided by the <b>count</b>.</p>
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</div>
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<p> </p>
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<div class="example">
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<h3>Example 1: What is the Mean of these numbers?</h3>
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<center>
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<p class="largemono">6, 11, 7</p>
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</center>
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<ul>
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<li>Add the numbers: <b>6 + 11 + 7 = 24</b></li>
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<li>Divide by <i>how many</i> numbers (there are 3 numbers): <b>24 /
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3 = 8</b></li>
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</ul>
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<center>
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<h3><b>The Mean is 8</b></h3>
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</center>
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</div>
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<h2>Why Does This Work?</h2>
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<p>It is because 6, 11 and 7 added together is the same as 3 lots of 8:</p>
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<p class="center"><img src="numbers/images/average-pencils.svg" alt="average" style="max-width:100%" height="127" width="545" ></p>
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<p class="center">It is like you are "flattening out" the numbers</p>
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<div class="example">
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<h3>Example 2: Look at these numbers:<br></h3>
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<center>
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<p class="large">3, 7, 5, 13, 20, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29</p>
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<p>The sum of these numbers is 330</p>
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<p>There are fifteen numbers.</p>
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<p>The mean is equal to 330 / 15 = 22</p>
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<h3><b>The mean of the above numbers is 22</b></h3>
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</center>
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</div>
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<h2>Negative Numbers</h2>
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<p>How do you handle negative numbers? Adding a negative number is the same as subtracting the number (without the negative). For example 3 + (−2) = 3−2 = 1.</p>
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<p>Knowing this, let us try an example:</p>
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<div class="example">
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<h3>Example 3: Find the mean of these numbers:</h3>
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<center>
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<p class="largemono">3, −7, 5, 13, −2</p>
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</center>
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<ul>
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<li>The sum of these numbers is <b>3 − 7 + 5 + 13 − 2 = 12</b></li>
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<li>There are <b>5</b> numbers.</li>
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<li>The mean is equal to <b>12 ÷ 5 = 2.4</b></li>
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</ul>
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<center>
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<h3><b>The mean of the above numbers is 2.4</b></h3>
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</center>
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<p>Here is how to do it one line:</p>
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<p class="center larger">Mean = <span class="intbl"><em>3 − 7 + 5 + 13 − 2</em><strong>5</strong></span> = <span class="intbl"><em>12</em><strong>5</strong></span> = <b>2.4</b></p>
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</div>
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<h2>Try it yourself!</h2>
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<iframe src="numbers/imean-user.html" scrolling="no" style="width:482px; height:382px; overflow:hidden; margin:auto; display:block; border: none;"></iframe>
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<p> </p>
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<p><b>Now have a look at <a href="data/mean-machine.html">The Mean Machine</a>.</b></p>
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<p> </p>
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<div class="center80">
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<p><i>Advanced Topic: the mean we have just looked at is also called the <b>Arithmetic Mean</b>, because there are other means such as the <a href="numbers/geometric-mean.html">Geometric Mean</a> and <a href="numbers/harmonic-mean.html">Harmonic Mean</a>.</i></p>
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</div>
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<p> </p>
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<div class="questions">691, 1453, 1454, 692, 1455, 1456, 2179, 2180, 3053, 3054</div>
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<div class="related">
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<a href="data/mean-machine.html">The Mean Machine</a>
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<a href="median.html">Median</a>
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<a href="mode.html">Mode</a>
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<a href="data/central-measures.html">Central Measures</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2021 MathsIsFun.com</div>
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