Understanding Aggregate Functions in R: Usage and Examples

Rumman Ansari   Software Engineer   2024-07-09 04:05:55   5981  Share
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aggregate function examples

<span class="pln">
</span><span class="com"># before work on aggregate function load the data set</span><span class="pln">
</span><span class="kwd">require</span><span class="pun">(</span><span class="pln">ggplot2</span><span class="pun">)</span><span class="pln">
data</span><span class="pun">(</span><span class="str">"diamonds"</span><span class="pun">)</span><span class="pln">
head</span><span class="pun">(</span><span class="pln">diamonds</span><span class="pun">)</span><span class="pln"> 

</span><span class="com"># we can perform mean function on the dataset like below</span><span class="pln">
mean</span><span class="pun">(</span><span class="pln">diamonds$price</span><span class="pun">)</span><span class="pln">

</span><span class="com"># calculate the mean price based on cut</span><span class="pln">
aggregate</span><span class="pun">(</span><span class="pln">price </span><span class="pun">~</span><span class="pln"> cut</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">
aggregate</span><span class="pun">(</span><span class="pln">price </span><span class="pun">~</span><span class="pln"> cut</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">,</span><span class="pln"> na</span><span class="pun">.</span><span class="pln">rm </span><span class="pun">=</span><span class="pln"> TRUE</span><span class="pun">)</span><span class="pln">
</span><span class="com"># calculate the mean price based on cut and color</span><span class="pln">
aggregate</span><span class="pun">(</span><span class="pln">price </span><span class="pun">~</span><span class="pln"> cut </span><span class="pun">+</span><span class="pln"> color</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">

</span><span class="com"># calculate the mean price and carat based on cut</span><span class="pln">
aggregate</span><span class="pun">(</span><span class="pln">cbind</span><span class="pun">(</span><span class="pln">price</span><span class="pun">,</span><span class="pln"> carat</span><span class="pun">)</span><span class="pln"> </span><span class="pun">~</span><span class="pln"> cut</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">
</span><span class="com"># calculate the mean price and carat based on cut and color</span><span class="pln">
aggregate</span><span class="pun">(</span><span class="pln">cbind</span><span class="pun">(</span><span class="pln">price</span><span class="pun">,</span><span class="pln"> carat</span><span class="pun">)</span><span class="pln"> </span><span class="pun">~</span><span class="pln"> cut </span><span class="pun">+</span><span class="pln"> color</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">          
          
</span>

Output

<span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="com"># before work on aggregate function load the data set</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="kwd">require</span><span class="pun">(</span><span class="pln">ggplot2</span><span class="pun">)</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> data</span><span class="pun">(</span><span class="str">"diamonds"</span><span class="pun">)</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> head</span><span class="pun">(</span><span class="pln">diamonds</span><span class="pun">)</span><span class="pln"> 
</span><span class="com"># A tibble: 6 x 10</span><span class="pln">
  carat cut      color clarity depth table price     x     y     z
  </span><span class="str">&lt;dbl&gt;</span><span class="pln"> </span><span class="str">&lt;ord&gt;</span><span class="pln">    </span><span class="str">&lt;ord&gt;</span><span class="pln"> </span><span class="str">&lt;ord&gt;</span><span class="pln">   </span><span class="str">&lt;dbl&gt;</span><span class="pln"> </span><span class="str">&lt;dbl&gt;</span><span class="pln"> </span><span class="str">&lt;int&gt;</span><span class="pln"> </span><span class="str">&lt;dbl&gt;</span><span class="pln"> </span><span class="str">&lt;dbl&gt;</span><span class="pln"> </span><span class="str">&lt;dbl&gt;</span><span class="pln">
</span><span class="lit">1</span><span class="pln"> </span><span class="lit">0.23</span><span class="pln">  </span><span class="typ">Ideal</span><span class="pln">    E     SI2      </span><span class="lit">61.5</span><span class="pln">    </span><span class="lit">55</span><span class="pln">   </span><span class="lit">326</span><span class="pln">  </span><span class="lit">3.95</span><span class="pln">  </span><span class="lit">3.98</span><span class="pln">  </span><span class="lit">2.43</span><span class="pln">
</span><span class="lit">2</span><span class="pln"> </span><span class="lit">0.21</span><span class="pln">  </span><span class="typ">Premium</span><span class="pln">  E     SI1      </span><span class="lit">59.8</span><span class="pln">    </span><span class="lit">61</span><span class="pln">   </span><span class="lit">326</span><span class="pln">  </span><span class="lit">3.89</span><span class="pln">  </span><span class="lit">3.84</span><span class="pln">  </span><span class="lit">2.31</span><span class="pln">
</span><span class="lit">3</span><span class="pln"> </span><span class="lit">0.23</span><span class="pln">  </span><span class="typ">Good</span><span class="pln">     E     VS1      </span><span class="lit">56.9</span><span class="pln">    </span><span class="lit">65</span><span class="pln">   </span><span class="lit">327</span><span class="pln">  </span><span class="lit">4.05</span><span class="pln">  </span><span class="lit">4.07</span><span class="pln">  </span><span class="lit">2.31</span><span class="pln">
</span><span class="lit">4</span><span class="pln"> </span><span class="lit">0.290</span><span class="pln"> </span><span class="typ">Premium</span><span class="pln">  I     VS2      </span><span class="lit">62.4</span><span class="pln">    </span><span class="lit">58</span><span class="pln">   </span><span class="lit">334</span><span class="pln">  </span><span class="lit">4.2</span><span class="pln">   </span><span class="lit">4.23</span><span class="pln">  </span><span class="lit">2.63</span><span class="pln">
</span><span class="lit">5</span><span class="pln"> </span><span class="lit">0.31</span><span class="pln">  </span><span class="typ">Good</span><span class="pln">     J     SI2      </span><span class="lit">63.3</span><span class="pln">    </span><span class="lit">58</span><span class="pln">   </span><span class="lit">335</span><span class="pln">  </span><span class="lit">4.34</span><span class="pln">  </span><span class="lit">4.35</span><span class="pln">  </span><span class="lit">2.75</span><span class="pln">
</span><span class="lit">6</span><span class="pln"> </span><span class="lit">0.24</span><span class="pln">  </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Go</span><span class="pun">…</span><span class="pln"> J     VVS2     </span><span class="lit">62.8</span><span class="pln">    </span><span class="lit">57</span><span class="pln">   </span><span class="lit">336</span><span class="pln">  </span><span class="lit">3.94</span><span class="pln">  </span><span class="lit">3.96</span><span class="pln">  </span><span class="lit">2.48</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> 
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="com"># we can perform mean function on the dataset like below</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> mean</span><span class="pun">(</span><span class="pln">diamonds$price</span><span class="pun">)</span><span class="pln">
</span><span class="pun">[</span><span class="lit">1</span><span class="pun">]</span><span class="pln"> </span><span class="lit">3932.8</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> 
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="com"># calculate the mean price based on cut</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> aggregate</span><span class="pun">(</span><span class="pln">price </span><span class="pun">~</span><span class="pln"> cut</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">
        cut    price
</span><span class="lit">1</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln"> </span><span class="lit">4358.758</span><span class="pln">
</span><span class="lit">2</span><span class="pln">      </span><span class="typ">Good</span><span class="pln"> </span><span class="lit">3928.864</span><span class="pln">
</span><span class="lit">3</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln"> </span><span class="lit">3981.760</span><span class="pln">
</span><span class="lit">4</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln"> </span><span class="lit">4584.258</span><span class="pln">
</span><span class="lit">5</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln"> </span><span class="lit">3457.542</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> aggregate</span><span class="pun">(</span><span class="pln">price </span><span class="pun">~</span><span class="pln"> cut</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">,</span><span class="pln"> na</span><span class="pun">.</span><span class="pln">rm </span><span class="pun">=</span><span class="pln"> TRUE</span><span class="pun">)</span><span class="pln">
        cut    price
</span><span class="lit">1</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln"> </span><span class="lit">4358.758</span><span class="pln">
</span><span class="lit">2</span><span class="pln">      </span><span class="typ">Good</span><span class="pln"> </span><span class="lit">3928.864</span><span class="pln">
</span><span class="lit">3</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln"> </span><span class="lit">3981.760</span><span class="pln">
</span><span class="lit">4</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln"> </span><span class="lit">4584.258</span><span class="pln">
</span><span class="lit">5</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln"> </span><span class="lit">3457.542</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="com"># calculate the mean price based on cut and color</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> aggregate</span><span class="pun">(</span><span class="pln">price </span><span class="pun">~</span><span class="pln"> cut </span><span class="pun">+</span><span class="pln"> color</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">
         cut color    price
</span><span class="lit">1</span><span class="pln">       </span><span class="typ">Fair</span><span class="pln">     D </span><span class="lit">4291.061</span><span class="pln">
</span><span class="lit">2</span><span class="pln">       </span><span class="typ">Good</span><span class="pln">     D </span><span class="lit">3405.382</span><span class="pln">
</span><span class="lit">3</span><span class="pln">  </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     D </span><span class="lit">3470.467</span><span class="pln">
</span><span class="lit">4</span><span class="pln">    </span><span class="typ">Premium</span><span class="pln">     D </span><span class="lit">3631.293</span><span class="pln">
</span><span class="lit">5</span><span class="pln">      </span><span class="typ">Ideal</span><span class="pln">     D </span><span class="lit">2629.095</span><span class="pln">
</span><span class="lit">6</span><span class="pln">       </span><span class="typ">Fair</span><span class="pln">     E </span><span class="lit">3682.312</span><span class="pln">
</span><span class="lit">7</span><span class="pln">       </span><span class="typ">Good</span><span class="pln">     E </span><span class="lit">3423.644</span><span class="pln">
</span><span class="lit">8</span><span class="pln">  </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     E </span><span class="lit">3214.652</span><span class="pln">
</span><span class="lit">9</span><span class="pln">    </span><span class="typ">Premium</span><span class="pln">     E </span><span class="lit">3538.914</span><span class="pln">
</span><span class="lit">10</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     E </span><span class="lit">2597.550</span><span class="pln">
</span><span class="lit">11</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     F </span><span class="lit">3827.003</span><span class="pln">
</span><span class="lit">12</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     F </span><span class="lit">3495.750</span><span class="pln">
</span><span class="lit">13</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     F </span><span class="lit">3778.820</span><span class="pln">
</span><span class="lit">14</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     F </span><span class="lit">4324.890</span><span class="pln">
</span><span class="lit">15</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     F </span><span class="lit">3374.939</span><span class="pln">
</span><span class="lit">16</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     G </span><span class="lit">4239.255</span><span class="pln">
</span><span class="lit">17</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     G </span><span class="lit">4123.482</span><span class="pln">
</span><span class="lit">18</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     G </span><span class="lit">3872.754</span><span class="pln">
</span><span class="lit">19</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     G </span><span class="lit">4500.742</span><span class="pln">
</span><span class="lit">20</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     G </span><span class="lit">3720.706</span><span class="pln">
</span><span class="lit">21</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     H </span><span class="lit">5135.683</span><span class="pln">
</span><span class="lit">22</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     H </span><span class="lit">4276.255</span><span class="pln">
</span><span class="lit">23</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     H </span><span class="lit">4535.390</span><span class="pln">
</span><span class="lit">24</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     H </span><span class="lit">5216.707</span><span class="pln">
</span><span class="lit">25</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     H </span><span class="lit">3889.335</span><span class="pln">
</span><span class="lit">26</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     I </span><span class="lit">4685.446</span><span class="pln">
</span><span class="lit">27</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     I </span><span class="lit">5078.533</span><span class="pln">
</span><span class="lit">28</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     I </span><span class="lit">5255.880</span><span class="pln">
</span><span class="lit">29</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     I </span><span class="lit">5946.181</span><span class="pln">
</span><span class="lit">30</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     I </span><span class="lit">4451.970</span><span class="pln">
</span><span class="lit">31</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     J </span><span class="lit">4975.655</span><span class="pln">
</span><span class="lit">32</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     J </span><span class="lit">4574.173</span><span class="pln">
</span><span class="lit">33</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     J </span><span class="lit">5103.513</span><span class="pln">
</span><span class="lit">34</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     J </span><span class="lit">6294.592</span><span class="pln">
</span><span class="lit">35</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     J </span><span class="lit">4918.186</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> 
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="com"># calculate the mean price and carat based on cut</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> aggregate</span><span class="pun">(</span><span class="pln">cbind</span><span class="pun">(</span><span class="pln">price</span><span class="pun">,</span><span class="pln"> carat</span><span class="pun">)</span><span class="pln"> </span><span class="pun">~</span><span class="pln"> cut</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">
        cut    price     carat
</span><span class="lit">1</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln"> </span><span class="lit">4358.758</span><span class="pln"> </span><span class="lit">1.0461366</span><span class="pln">
</span><span class="lit">2</span><span class="pln">      </span><span class="typ">Good</span><span class="pln"> </span><span class="lit">3928.864</span><span class="pln"> </span><span class="lit">0.8491847</span><span class="pln">
</span><span class="lit">3</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln"> </span><span class="lit">3981.760</span><span class="pln"> </span><span class="lit">0.8063814</span><span class="pln">
</span><span class="lit">4</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln"> </span><span class="lit">4584.258</span><span class="pln"> </span><span class="lit">0.8919549</span><span class="pln">
</span><span class="lit">5</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln"> </span><span class="lit">3457.542</span><span class="pln"> </span><span class="lit">0.7028370</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> </span><span class="com"># calculate the mean price and carat based on cut and color</span><span class="pln">
</span><span class="pun">&gt;</span><span class="pln"> aggregate</span><span class="pun">(</span><span class="pln">cbind</span><span class="pun">(</span><span class="pln">price</span><span class="pun">,</span><span class="pln"> carat</span><span class="pun">)</span><span class="pln"> </span><span class="pun">~</span><span class="pln"> cut </span><span class="pun">+</span><span class="pln"> color</span><span class="pun">,</span><span class="pln"> diamonds</span><span class="pun">,</span><span class="pln"> mean</span><span class="pun">)</span><span class="pln">          
         cut color    price     carat
</span><span class="lit">1</span><span class="pln">       </span><span class="typ">Fair</span><span class="pln">     D </span><span class="lit">4291.061</span><span class="pln"> </span><span class="lit">0.9201227</span><span class="pln">
</span><span class="lit">2</span><span class="pln">       </span><span class="typ">Good</span><span class="pln">     D </span><span class="lit">3405.382</span><span class="pln"> </span><span class="lit">0.7445166</span><span class="pln">
</span><span class="lit">3</span><span class="pln">  </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     D </span><span class="lit">3470.467</span><span class="pln"> </span><span class="lit">0.6964243</span><span class="pln">
</span><span class="lit">4</span><span class="pln">    </span><span class="typ">Premium</span><span class="pln">     D </span><span class="lit">3631.293</span><span class="pln"> </span><span class="lit">0.7215471</span><span class="pln">
</span><span class="lit">5</span><span class="pln">      </span><span class="typ">Ideal</span><span class="pln">     D </span><span class="lit">2629.095</span><span class="pln"> </span><span class="lit">0.5657657</span><span class="pln">
</span><span class="lit">6</span><span class="pln">       </span><span class="typ">Fair</span><span class="pln">     E </span><span class="lit">3682.312</span><span class="pln"> </span><span class="lit">0.8566071</span><span class="pln">
</span><span class="lit">7</span><span class="pln">       </span><span class="typ">Good</span><span class="pln">     E </span><span class="lit">3423.644</span><span class="pln"> </span><span class="lit">0.7451340</span><span class="pln">
</span><span class="lit">8</span><span class="pln">  </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     E </span><span class="lit">3214.652</span><span class="pln"> </span><span class="lit">0.6763167</span><span class="pln">
</span><span class="lit">9</span><span class="pln">    </span><span class="typ">Premium</span><span class="pln">     E </span><span class="lit">3538.914</span><span class="pln"> </span><span class="lit">0.7177450</span><span class="pln">
</span><span class="lit">10</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     E </span><span class="lit">2597.550</span><span class="pln"> </span><span class="lit">0.5784012</span><span class="pln">
</span><span class="lit">11</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     F </span><span class="lit">3827.003</span><span class="pln"> </span><span class="lit">0.9047115</span><span class="pln">
</span><span class="lit">12</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     F </span><span class="lit">3495.750</span><span class="pln"> </span><span class="lit">0.7759296</span><span class="pln">
</span><span class="lit">13</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     F </span><span class="lit">3778.820</span><span class="pln"> </span><span class="lit">0.7409612</span><span class="pln">
</span><span class="lit">14</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     F </span><span class="lit">4324.890</span><span class="pln"> </span><span class="lit">0.8270356</span><span class="pln">
</span><span class="lit">15</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     F </span><span class="lit">3374.939</span><span class="pln"> </span><span class="lit">0.6558285</span><span class="pln">
</span><span class="lit">16</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     G </span><span class="lit">4239.255</span><span class="pln"> </span><span class="lit">1.0238217</span><span class="pln">
</span><span class="lit">17</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     G </span><span class="lit">4123.482</span><span class="pln"> </span><span class="lit">0.8508955</span><span class="pln">
</span><span class="lit">18</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     G </span><span class="lit">3872.754</span><span class="pln"> </span><span class="lit">0.7667986</span><span class="pln">
</span><span class="lit">19</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     G </span><span class="lit">4500.742</span><span class="pln"> </span><span class="lit">0.8414877</span><span class="pln">
</span><span class="lit">20</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     G </span><span class="lit">3720.706</span><span class="pln"> </span><span class="lit">0.7007146</span><span class="pln">
</span><span class="lit">21</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     H </span><span class="lit">5135.683</span><span class="pln"> </span><span class="lit">1.2191749</span><span class="pln">
</span><span class="lit">22</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     H </span><span class="lit">4276.255</span><span class="pln"> </span><span class="lit">0.9147293</span><span class="pln">
</span><span class="lit">23</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     H </span><span class="lit">4535.390</span><span class="pln"> </span><span class="lit">0.9159485</span><span class="pln">
</span><span class="lit">24</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     H </span><span class="lit">5216.707</span><span class="pln"> </span><span class="lit">1.0164492</span><span class="pln">
</span><span class="lit">25</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     H </span><span class="lit">3889.335</span><span class="pln"> </span><span class="lit">0.7995249</span><span class="pln">
</span><span class="lit">26</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     I </span><span class="lit">4685.446</span><span class="pln"> </span><span class="lit">1.1980571</span><span class="pln">
</span><span class="lit">27</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     I </span><span class="lit">5078.533</span><span class="pln"> </span><span class="lit">1.0572222</span><span class="pln">
</span><span class="lit">28</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     I </span><span class="lit">5255.880</span><span class="pln"> </span><span class="lit">1.0469518</span><span class="pln">
</span><span class="lit">29</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     I </span><span class="lit">5946.181</span><span class="pln"> </span><span class="lit">1.1449370</span><span class="pln">
</span><span class="lit">30</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     I </span><span class="lit">4451.970</span><span class="pln"> </span><span class="lit">0.9130291</span><span class="pln">
</span><span class="lit">31</span><span class="pln">      </span><span class="typ">Fair</span><span class="pln">     J </span><span class="lit">4975.655</span><span class="pln"> </span><span class="lit">1.3411765</span><span class="pln">
</span><span class="lit">32</span><span class="pln">      </span><span class="typ">Good</span><span class="pln">     J </span><span class="lit">4574.173</span><span class="pln"> </span><span class="lit">1.0995440</span><span class="pln">
</span><span class="lit">33</span><span class="pln"> </span><span class="typ">Very</span><span class="pln"> </span><span class="typ">Good</span><span class="pln">     J </span><span class="lit">5103.513</span><span class="pln"> </span><span class="lit">1.1332153</span><span class="pln">
</span><span class="lit">34</span><span class="pln">   </span><span class="typ">Premium</span><span class="pln">     J </span><span class="lit">6294.592</span><span class="pln"> </span><span class="lit">1.2930941</span><span class="pln">
</span><span class="lit">35</span><span class="pln">     </span><span class="typ">Ideal</span><span class="pln">     J </span><span class="lit">4918.186</span><span class="pln"> </span><span class="lit">1.0635937</span><span class="pln">
</span>

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