ac{75}{100} \times 32 \right) = 24\]</span>
which means we can take the 24th value in the ordered list, which equals 5. The inter-quartile range is then
<span class="math display">\[\text{IQR} = [2, 5]\]</span></p>
<p>The <strong>variance</strong> is the average squared deviation of values from the mean. One reason for using <em>squared</em> deviations rather than the average deviation itself is that the average deviation
<span class="math display">\[\frac{\sum_{i=1}^n (Y_i - \overline{Y})}{n}\]</span>
is a