<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-outliers" target="_blank">Outliers Exercise</a></p><p>Imagine you have $10$ middle-class people in a room. Their salaries are all roughly equal. Then Bill Gates enters the room. </p>
<p>That's an <strong><span style="color:#8e44ad;">Outlier</span></strong>. Bill Gates is an outlier. Outliers are datapoints that differ significantly from most (or all) of the other data.</p>
<p><strong><span style="color:#2980b9;">The Effects Outliers Have on Data</span></strong></p>
<ul>
<li><span style="color:#e74c3c;"><u>The average is considerably affected</u></span>. For example, the average of the first $10$ numbers is $5.5$. If we add an outlier to the data, say $1$,$000$, the average is now approximately $95.9$.</li>
<li><span style="color:#27ae60;"><u>The median is NOT affected (or only slightly so)</u></span>. For example, the median of the first $10$ integers is $5.5$. If we add an ourlier to the data, say $1$,$000$, the median is now $6$, just a minor change.</li>
<li><span style="color:#e74c3c;"><u>The range considerably affected</u></span>. For example, the range of the first $10$ integers is $9$. If we add the outlier $1$,$000$ to the mix, the range is now $999$. </li>
<li><u><span style="color:#27ae60;">The interquartile range is NOT affected</span></u>. See the mountain entry (upcoming) on the interquartile range to figure out why.</li>
</ul>