<p><span style="font-size:20px;"><span style="color:#8e44ad;">Deductions from the Given Information</span></span></p>
<p>In looking at List $A$ and List $B$, you will notice that, in each case, there is a difference of $5$ between the list's members. In other words, lists $A$ and $B$ are both equally spaced with the same interval.</p>
<p>Another observation that is important to make is that each list contains the same number of elements. The importance of this will be explained in the Solving the Problem section.</p>
<p><span style="color:#27ae60;"><span style="font-size:20px;">Solving the Problem </span></span></p>
<p>Because each list is equally spaced with a difference of $5$ between its members and because each list contains $5$ members, we can confidently state that the standard deviation of both lists is equal. Thus, the correct answer is <strong><span style="color:#27ae60;">C, the two quantities are equal</span></strong>.</p>
<p><strong>NOTE: </strong>Had the lists NOT contained the same number of elements, say, for example, List $B$ had four elements rather than five, then the standard deviation of List $A$ would have been bigger. </p>