Percentiles

<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-percentiles" target="_blank">Percentiles Exercise</a></p><p><strong><span style="color:#8e44ad;">Percentiles</span></strong> really throw people off for some reason. But they don&#39;t have to. Think of them this way. If you divide a dataset into halves, you get two equal groups. If you divide a dataset into thirds, you get three equal groups. If you divide a dataset into quartiles, you get four equal groups.</p> <p>So...if you divide a dataset into percentiles, how many equal groups do you get? $100$! Nice.</p> <p><strong><span style="color:#e74c3c;">Example</span></strong></p> <p>If a dataset consists of $1$,$200$ distinct values, how many values are in...</p> <ul> <li><span style="color:#27ae60;">The first half?</span> <ul> <li>$\frac{1200}{2} = 600$</li> </ul> </li> <li><span style="color:#27ae60;">The second third?</span> <ul> <li>$\frac{1200}{3} = 400$</li> </ul> </li> <li><span style="color:#27ae60;">The last quartile?</span> <ul> <li>$\frac{1200}{4} = 300$</li> </ul> </li> <li><span style="color:#27ae60;">The $57$th percentile?</span> <ul> <li>$\frac{1200}{100} = 12$</li> </ul> </li> </ul> <p>For this reason, problems that deal with &quot;percentiles&quot; will often include datasets that consist of a multiple of $100$ values.</p> <p><strong><span style="color:#e74c3c;">There&#39;s Another Thing to Consider about Percentiles</span></strong></p> <p>If we say that a value is at the $n$th percentile, say the $47$th percentile, that means that that value is higher than $n\%$ of the values. In our case, the value at the $47$th percentile is greater than $47\%$ of the values in the dataset.</p> <p><strong><span style="color:#e74c3c;">Example with $100$ People</span></strong></p> <p>Imagine we rank $100$ random people from yongest to oldest.</p> <center><svg height="198.02142333984375" style=" width:661.8285522460938px; height:198.02142333984375px; background: #FFF; fill: none; " width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><image height="27.114288330078125" preserveaspectratio="none" width="27.114288330078125" x="60.885711669921875" 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