Skewness

<p><span style="font-size:22px"><a href="https://www.prepswift.com/quizzes/quiz/prepswift-skewness" target="_blank">Skewness Exercise</a></span></p><p>If you graph enough data points, you can see <strong><span style="color:#8e44ad;">Skewness </span></strong>in the chart.</p> <p>Think of it as the data being biased toward one direction (the right or the left). If the distribution has a longer tail to the left, we say it is &quot;left-skewed.&quot; If the tail is longer to the right, we say it is &quot;right-skewed.&quot; This can be a bit confusing because it&#39;s easy to assume that we say the negative skew is right-skewed because of its big-ass hump toward the right. But no, remember we <strong><u>follow the tail</u></strong>, not the hump.</p> <center><svg height="167.87857055664062" style=" width:661.8285522460938px; height:167.87857055664062px; 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="150.74285888671875" preserveaspectratio="none" width="406.15833726852827" x="129.5999755859375" 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stroke-opacity="1" stroke-width="8" transform="matrix(0.0136,0,0,-0.0136,0,0)"></path></g></g></g></g></svg> </svg></center> <p><strong><span style="color:#e74c3c;">Mean versus Median</span></strong></p> <p>The coolest thing about distributions is their skewness gives us information about the relationship between the mean and median. Is the mean larger than the median? Is it less? Are they roughly equal. In fact, all three of those are possibiliies depending on the type of distribution.</p> <p style="text-align: center;"><img alt="" src="https://gregmatapi.s3.amazonaws.com/media/misc/files/Relationship_between_mean_and_median_under_different_skewness.png" style="height: 189px; width: 500px;" /></p> <p>I know it says mode on there too, but honestly that&#39;s not as interesting as the mean and median relationship. In a positively skewed distribution, the mean is larger than the median. In a negatively skewed distribution, the mean is less than the median. And in a symmetrical distribution, they&#39;re equal. Cool stuff!&nbsp;</p> <p><strong><span style="color:#27ae60;">How can we remember this? </span></strong></p> <p>The easiest way is this:</p> <p style="text-align: center;"><span style="font-size:20px;"><span style="color:#27ae60;">The mean follows the tail.&nbsp;</span></span></p> <p>Notice when the tail is off to the right, the mean is larger than the median. When the tail is off to the left, the mean is less than the median.</p>