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<h2>Range</h2>
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<h3>Definition: Range</h3>
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<p>The range of a data set is the difference between the maximum and minimum values in the set.</p>
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<p>The most straightforward measure of dispersion is the range. The range simply tells us how far apart the largest and smallest values in a data set are. The range is very sensitive to outliers.</p>
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<h2>Example</h2>
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<h3>Question</h3>
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<p>Find the range of the following data set:</p>

\[\{1; 4; 5; 8; 6; 7; 5; 6; 7; 4; 10; 9; 10\}\]

<p>What would happen if we removed the first value from the set?</p>
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<h3>Determine the range</h3>
<p>The smallest value in the data set is \(\text{1}\) and the largest value is \(\text{10}\).</p>
<p>The range is \(10 - 1 = 9\)</p>
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<h3>Remove the first value</h3>
<p>If the first value, \(\text{1}\), were to be removed from the set, the minimum value would be \(\text{4}\). This means that the range would change to \(10 - 4 = 6\). \(\text{1}\) is not typical of the other values. It is an outlier and has a big influence on the range.</p>
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Range

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Explore various statistical concepts, such as data collection, measures of central tendency and dispersion, histograms, and curve fitting techniques like linear regression, to better interpret and analyze data with accuracy and precision.


Range

Range

Definition: Range

Example

Question

Determine the range

Remove the first value

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