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	<title>singaporeolevelmathsungrouped data | singaporeolevelmaths</title>
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	<description>Simple Tips for Better Maths Results!</description>
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		<title>E-Math: How to Use the Mean and Standard Deviation Formula (Plus: Calculator Shortcuts)</title>
		<link>http://www.singaporeolevelmaths.com/2010/01/19/e-math-how-to-use-the-mean-and-standard-deviation-formula-plus-calculator-shortcuts/</link>
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		<pubDate>Mon, 18 Jan 2010 18:00:32 +0000</pubDate>
		<dc:creator>Ai Ling</dc:creator>
				<category><![CDATA[E-Maths]]></category>
		<category><![CDATA[calculator skills]]></category>
		<category><![CDATA[e-math formula sheet]]></category>
		<category><![CDATA[mean]]></category>
		<category><![CDATA[standard deviation]]></category>
		<category><![CDATA[statistics]]></category>
		<category><![CDATA[ungrouped data]]></category>

		<guid isPermaLink="false">http://www.singaporeolevelmaths.com/?p=1708</guid>
		<description><![CDATA[One of the first topics that many Secondary 4 E-Math students learnt is a statistics chapter known as Mean and Standard Deviation (SD for short). The nice thing about this chapter is that the 2 most important formula are both available in the E-Math (subject code: 4016) formula sheet! No memorization required, just understanding of...]]></description>
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<p><a href="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/Ink530568593750.png"><img class="alignleft" title="Mean and Standard Deviation in formula sheet" src="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/Ink530568593750.png" alt="" width="330" height="172" /></a></div>
<p>One of the first topics that many Secondary 4 E-Math students learnt is a statistics chapter known as <strong>Mean and Standard Deviation</strong> (SD for short).</p>
<p>The nice thing about this chapter is that the 2 most important formula are both available in the E-Math (subject code: 4016) formula sheet! No memorization required, just understanding of their usage.</p>
<p>In this post, I will illustrate 2 methods to get the answers for mean and SD for ungrouped data (refer to example). The 2 methods are <strong>manual</strong> and <strong>calculator</strong>.</p>
<h2><span style="color: #ff6600;"><strong>Example:</strong></span></h2>
<p>Given 15, 6, 18, 9, 2 and 4, find the mean and standard deviation.</p>
<h2><span style="color: #ff6600;"><strong>Manual:</strong></span></h2>
<div id="attachment_1720" class="wp-caption alignnone" style="width: 409px"><a href="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/mean-sd-manual.PNG"><img class="size-full wp-image-1720" src="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/mean-sd-manual.PNG" alt="Mean and Standard Deviation Manual Working" width="399" height="518" /></a><p class="wp-caption-text">Mean and Standard Deviation Manual Working</p></div>
<h2><span style="color: #ff6600;"><strong>Calculator, Casio fx-85MS:</strong></span></h2>
<ol>
<li>Mode, 2(SD)</li>
<li>Enter the data in this manner<strong>, </strong>15, M+<strong> </strong>follows by 6, M+&#8230;</li>
<li><strong>To get mean: </strong>Press &#8216;Shift&#8217;, 2, 1,=</li>
<li><strong>To get SD: </strong>Press &#8216;Shift&#8217;, 2, 2,=</li>
</ol>
<p>Here are some additional information you can obtain using the calculator:</p>
<div id="attachment_1721" class="wp-caption alignnone" style="width: 383px"><a href="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/mean-sd-calculator.PNG"><img class="size-full wp-image-1721" title="mean-sd-calculator" src="http://www.singaporeolevelmaths.com/wp-content/uploads/2010/01/mean-sd-calculator.PNG" alt="Mean - SD from Calculator" width="373" height="258" /></a><p class="wp-caption-text">Mean - SD from Calculator</p></div>
<p>Answers obtained through both methods are the same. By knowing these 2 methods, you can use either to double check.</p>
<p><strong><br />
</strong></p>
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