Effect on Normal Distribution

<p><span style="font-size:22px"><a href="https://www.prepswift.com/quizzes/quiz/prepswift-effect-on-normal-distribution" target="_blank">Effect on Normal Distribution Exercise</a></span></p><p>If you change the mean or standard deviation, you will see various <strong><span style="color:#8e44ad;">Effects on the Normal Distribution</span></strong>.</p> <p><strong>What happens if we <span style="color:#e74c3c;">subtract</span> something from or <span style="color:#27ae60;">add </span>something to the <u>mean</u></strong>?</p> <center><svg height="120.94285583496094" style=" width:661.8285522460938px; height:120.94285583496094px; 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" data-amt="diagram/shapes/plot" 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case, if you make the standard deviation smaller, the chart becomes skinnier and taller. If you make the standard deviation larger, the graph becomes wider and shorter.&nbsp;</p> <p>Recall that, in all cases, the area under the curve must equal $1$. So that&#39;s why if the chart gets skinnier, it has to get taller to maintain that area of $1$ under the curve.</p>