<p style="text-align:justify"><span style="font-size:14px"><strong>EXAMPLE&nbsp;2.2</strong></span></p>

<p style="text-align:justify">&nbsp;</p>

<p style="text-align:justify"><span style="font-size:14px">The data are the distances (in kilometers) from a home to local supermarkets. Create a stemplot using the data:</span></p>

<p style="text-align:justify">&nbsp;</p>

<p style="text-align:justify"><span style="font-size:14px">1.1; 1.5; 2.3; 2.5; 2.7; 3.2; 3.3; 3.3; 3.5; 3.8; 4.0; 4.2; 4.5; 4.5; 4.7; 4.8; 5.5; 5.6; 6.5; 6.7; 12.3</span></p>

<p style="text-align:justify"><span style="font-size:14px">Do the data seem to have any concentration of values? </span></p>

<p style="text-align:justify">&nbsp;</p>

<p style="text-align:justify"><span style="font-size:14px"><strong><span style="color:#000000">Solution&nbsp;2.2</span></strong></span></p>

<p style="text-align:justify">&nbsp;</p>

<p style="text-align:justify"><span style="font-size:14px">The value 12.3 may be an outlier. Values appear to concentrate at three and four kilometers.</span></p>

<p style="text-align:justify">&nbsp;</p>

<table align="left" cellspacing="0" class="Table" style="border-collapse:collapse; border:none; margin-left:9px; margin-right:9px; width:900px">
	<caption>
	<p><span style="font-size:20px"><strong>TABLE 2.2</strong></span></p>
	</caption>
	<thead>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:1px solid black; height:24px; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>Stem</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; height:24px; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>Leaf</strong></span></div>
			</td>
		</tr>
	</thead>
	<tbody>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">1</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">1&nbsp;5</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">2</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">3&nbsp;5&nbsp;7</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">3</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">2&nbsp;3&nbsp;3&nbsp;5&nbsp;8</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:23px">
			<div style="text-align:center"><span style="font-size:28px">4</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:23px">
			<div style="text-align:center"><span style="font-size:28px">0&nbsp;2&nbsp;5&nbsp;5&nbsp;7&nbsp;8</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">5</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">5&nbsp;6</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">6</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">5&nbsp;7</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">7</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px; text-align:center">
			<div>&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">8</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px; text-align:center">
			<div>&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">9</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px; text-align:center">
			<div>&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:23px">
			<div style="text-align:center"><span style="font-size:28px">10</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:23px; text-align:center">
			<div>&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">11</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px; text-align:center">
			<div>&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">12</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:24px">
			<div style="text-align:center"><span style="font-size:28px">3</span></div>
			</td>
		</tr>
	</tbody>
</table>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p>&nbsp;</p>

<p><span style="font-size:14px"><strong><span style="color:#000000">EXAMPLE&nbsp;2.3</span></strong></span></p>

<p>&nbsp;</p>

<p style="text-align:justify"><span style="font-size:14px"><span style="color:black">A&nbsp;<strong>side-by-side stem-and-leaf plot</strong>&nbsp;allows a comparison of the two data sets in two columns. In a side-by-side stem-and-leaf plot, two sets of leaves share the same stem. The leaves are to the left and the right of the stems.&nbsp;</span><a href="https://openstax.org/books/introductory-business-statistics/pages/2-1-display-data#M01_Ch02_tbl005" style="color:blue; text-decoration:underline"><span style="color:black">Table 2.4</span></a><span style="color:black">&nbsp;and&nbsp;</span><a href="https://openstax.org/books/introductory-business-statistics/pages/2-1-display-data#M01_Ch02_tbl006" style="color:blue; text-decoration:underline"><span style="color:black">Table 2.5</span></a><span style="color:black">&nbsp;show the ages of presidents at their inauguration and at their death. Construct a side-by-side stem-and-leaf plot using this data</span><span style="color:#424242">.</span></span></p>

<p>&nbsp;</p>

<p><span style="font-size:14px"><strong><span style="color:#000000">Solution&nbsp;1</span></strong></span></p>

<p>&nbsp;</p>

<p><span style="font-size:14px">The value 12.3 may be an outlier. Values appear to concentrate at 3 and 4 kilometers</span></p>

<p>&nbsp;</p>

<table cellspacing="0" class="Table" style="border-collapse:collapse; border:none; width:900px">
	<caption>
	<p><span style="font-size:20px"><strong>Table2.3</strong></span></p>
	</caption>
	<thead>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:1px solid black; height:18px; vertical-align:bottom; width:132px">
			<div style="text-align:center"><span style="font-size:28px"><strong>President</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; height:18px; vertical-align:bottom; width:71px">
			<div style="text-align:center"><span style="font-size:28px"><strong>Age</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; height:18px; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>President</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; height:18px; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>Age</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; height:18px; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>President</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; height:18px; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>Age</strong></span></div>
			</td>
		</tr>
	</thead>
	<tbody>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Washington</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">57</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Lincoln</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">52</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Hoover</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">54</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:35px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">J. Adams</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">61</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">A. Johnson</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">56</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">F. Roosevelt</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">51</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:17px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Jefferson</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:17px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">57</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:17px">
			<div style="text-align:center"><span style="font-size:28px">Grant</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:17px">
			<div style="text-align:center"><span style="font-size:28px">46</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:17px">
			<div style="text-align:center"><span style="font-size:28px">Truman</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:17px">
			<div style="text-align:center"><span style="font-size:28px">60</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Madison</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">57</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Hayes</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">54</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Eisenhower</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">62</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Monroe</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">58</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Garfield</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">49</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Kennedy</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">43</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">J. Q. Adams</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">57</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Arthur</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">51</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">L. Johnson</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">55</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Jackson</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">61</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Cleveland</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">47</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Nixon</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">56</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:35px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Van Buren</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">54</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">B. Harrison</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">55</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">Ford</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">61</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">W. H. Harrison</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">68</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Cleveland</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">55</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Carter</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">52</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Tyler</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">51</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">McKinley</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">54</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Reagan</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">69</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:35px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Polk</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">49</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">T. Roosevelt</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">42</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">G.H.W. Bush</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:35px">
			<div style="text-align:center"><span style="font-size:28px">64</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Taylor</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">64</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Taft</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">51</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Clinton</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">47</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Fillmore</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">50</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Wilson</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">56</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">G. W. Bush</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">54</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Pierce</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">48</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Harding</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">55</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Obama</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">47</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; height:18px; width:132px">
			<div style="text-align:center"><span style="font-size:28px">Buchanan</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px; width:71px">
			<div style="text-align:center"><span style="font-size:28px">65</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">Coolidge</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center"><span style="font-size:28px">51</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none; height:18px">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
	</tbody>
</table>

<p>&nbsp;</p>

<table cellspacing="0" class="Table" style="background:#ededed; border-collapse:collapse; border:none; width:900px">
	<caption>
	<p><span style="font-size:20px"><span style="color:#000000"><strong>Table2.4 Presidential Age at Death</strong></span></span></p>
	</caption>
	<thead>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px">President</span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong><span style="color:black">Age</span></strong></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong><span style="color:black">President</span></strong></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong><span style="color:black">Age</span></strong></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong><span style="color:black">President</span></strong></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong><span style="color:black">Age</span></strong></span></div>
			</td>
		</tr>
	</thead>
	<tbody>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Washington</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">67</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Lincoln</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">56</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Hoover</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">90</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">J. Adams</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">90</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">A. Johnson</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">66</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">F. Roosevelt</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">63</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Jefferson</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">83</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Grant</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">63</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Truman</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">88</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Madison</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">85</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Hayes</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">70</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Eisenhower</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">78</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Monroe</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">73</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Garfield</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">49</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Kennedy</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">46</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">J. Q. Adams</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">80</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Arthur</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">56</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">L. Johnson</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">64</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Jackson</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">78</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Cleveland</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">71</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Nixon</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">81</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Van Buren</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">79</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">B. Harrison</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">67</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Ford</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">93</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">W. H. Harrison</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">68</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Cleveland</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">71</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Reagan</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">93</span></span></div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Tyler</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">71</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">McKinley</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">58</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Polk</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">53</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">T. Roosevelt</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">60</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Taylor</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">65</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Taft</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">72</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Fillmore</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">74</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Wilson</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">67</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Pierce</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">64</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Harding</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">57</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
		<tr>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Buchanan</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">77</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">Coolidge</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px"><span style="color:black">60</span></span></div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
			<td style="background-color:#ededed; border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center">&nbsp;</div>
			</td>
		</tr>
	</tbody>
</table>

<p>&nbsp;</p>

<p><span style="font-size:14px"><span style="color:#000000"><strong>Solution&nbsp;1</strong></span></span></p>

<p>&nbsp;</p>

<table cellspacing="0" class="Table" style="border-collapse:collapse; border:none; width:900px">
	<thead>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>Ages at Inauguration</strong></span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; text-align:center; vertical-align:bottom">
			<div>&nbsp;</div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:1px solid black; vertical-align:bottom">
			<div style="text-align:center"><span style="font-size:28px"><strong>Ages at Death</strong></span></div>
			</td>
		</tr>
	</thead>
	<tbody>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">9 9 8 7 7 7 6 3 2</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">4</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">6 9</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">8 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 2 1 1 1 1 1 0</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">5</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">3 6 6 7 7 8</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">9 5 4 4 2 1 1 1 0</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">6</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">0 0 3 3 4 4 5 6 7 7 7 8</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; text-align:center">
			<div>&nbsp;</div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">7</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">0 0 1 1 1 4 7 8 8 9</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; text-align:center">
			<div>&nbsp;</div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">8</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">0 1 3 5 8</span></div>
			</td>
		</tr>
		<tr>
			<td style="border-bottom:1px solid black; border-left:1px solid black; border-right:1px solid black; border-top:none; text-align:center">
			<div>&nbsp;</div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">9</span></div>
			</td>
			<td style="border-bottom:1px solid black; border-left:none; border-right:1px solid black; border-top:none">
			<div style="text-align:center"><span style="font-size:28px">0 0 3 3</span></div>
			</td>
		</tr>
	</tbody>
</table>

<p style="text-align:justify">&nbsp;</p>

<p style="text-align:justify"><span style="font-size:14px"><span style="color:black">Notice that the leaf values increase in order, from right to left, for leaves shown to the left of the stem, while the leaf values increase in order from left to right, for leaves shown to the right of the stem.</span></span></p>