Eyeballing Standard Deviation

<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-eyeballing-standard-deviation" target="_blank">Eyeballing Standard Deviation Exercise</a></p><p>Let&#39;s admit it. Standard deviation is annoying. There. I said it.&nbsp;</p> <p>But there is good news. <strong><span style="color:#8e44ad;">Eyeballing Standard Deviation</span></strong> is actually pretty easy.</p> <p>Which set of numbers is more &quot;spread out&quot;?</p> <p>Hint: Don&#39;t do any math. 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transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g></svg> </svg></center> <p>We can clearly see that Dataset $B$ is more clearly &quot;spred out.&quot; That means its standard deviation is higher than that of Dataset $A$.&nbsp;</p> <p>Recall that the GRE has these things called&nbsp;<em>Quantitative Comparison&nbsp;</em>questions, where we don&#39;t have to calculate actual values a lot of the time. It suffices to say one quantity is &quot;larger&quot; than the other. Or perhaps the two quantities are &quot;equal&quot; to each other, if it&#39;s obvious they have the same spacing or symmetry (implying standard deviations are the same).</p> <p><strong><span style="color:#e74c3c;">Example</span></strong></p> <p style="margin-left: 40px;"><strong><u>Quantity $A$</u></strong>: The standard deviation of the dataset below:</p> <p>$$7, 21, 63, 189$$</p> <p style="margin-left: 40px;"><strong><u>Quantity $B$</u></strong>: The standard deviation of the dataset below:</p> <p>$$2, 6, 18, 54$$</p> <p>If we &quot;eyeball&quot; it, we can clearly see that the numbers in Quantity $A$ are more &quot;spaced out,&quot; giving them a higher standard deviation than those of Quantity $B$.</p>