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101 lines
4.7 KiB
HTML
101 lines
4.7 KiB
HTML
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<title>The Range (Statistics)</title>
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<h1 align="center">The Range (Statistics)</h1>
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<p>The Range is the difference between the lowest and highest values.</p>
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<div class="example">
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<p>Example: In <b>{4, 6, 9, 3, 7}</b> the lowest value is 3, and the highest is 9.</p>
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<p align="center" class="larger">So the range is 9 − 3 = <b>6</b>.</p>
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<p align="center"><img src="images/range.svg" alt="Range 3 to 9 is 6" /></p>
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</div>
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<p>It is that simple! </p>
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<p>But perhaps too simple ...</p>
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<h2>The Range Can Be Misleading</h2>
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<p>The range can sometimes be misleading when there are extremely high or low values.</p>
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<div class="example">
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<p>Example: In <b>{8, 11, 5, 9, 7, 6, 3616}</b>:</p>
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<li>the lowest value is 5, </li>
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<li>and the highest is 3616, </li>
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</ul>
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<p align="center" class="larger">So the range is 3616 − 5 = <b>3611</b>.</p>
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<p>The single value of 3616 makes the range large, but most values are around 10.</p>
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<p>So we may be better off using <a href="quartiles.html">Interquartile Range</a> or <a href="standard-deviation.html">Standard Deviation</a>.</p>
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<p> </p>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="../sets/images/range-domain-graph.svg" alt="range domain graph" /></p>
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<h2>Range of a Function</h2>
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<p>Range can <b>also</b> mean all the output values of a function, see <a href="../sets/domain-range-codomain.html">Domain, Range and Codomain</a>. </p>
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<script type="text/javascript">getQ(696, 740, 1468, 1469, 2159, 2160, 3064, 3065, 3798, 3799);</script>
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<div class="related"><a href="../sets/domain-range-codomain.html">Domain, Range and Codomain</a> <a href="index.html">Data Index</a> </div>
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Copyright © 2017 MathsIsFun.com
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