Reply to thread

Message

<blockquote data-quote="tmaaas" data-source="post: 1231362" data-attributes="member: 6481">Here are a couple posts&nbsp; I made a long time ago (on the original Eric Noah's Third Edition News boards). They seem applicable to this discussion.These statistics do not include rerolling &quot;hopeless&quot; characters. Also, if you use a different method for extending the point-cost method downward it will change the results.=======================================================Buy your 1-in-a-1000 hero here for only . . .49 points! (Using the point-buy method for character generation, of course.) Yes, that's right. A true bargain. And you'll have stats so good it'd take 1,000 tries using the 'natural' 3d6 method to meet or beat 'em. . . on average.I was curious as to how point-buy generated characters would compare with the normal population, on a percentile basis. In other words, is a 25 point character better than 75% of the natural (3d6) populace? 85%? How about a 32 point character? Say I wanted a 'heroic' campaign where the pc's are 1-in-a-100 type of people? And so I sat down one evening with my trusty laptop and figured it all out . . .Warning: all the following figures are based upon the assumption that the point-cost for a stat scales down from 10.5 (the statistical average) in the same manner they scale upwards. Thus, the difference between 3 and 4 is three points, same as the difference between 17 and 18.&nbsp; Note that because zero is placed at 8 instead of 10.5 (the mean), the scale is asymmetric.The scale:&lt;table border=&quot;1&quot;&gt;&lt;tr&gt;&lt;th&gt;Stat&lt;/th&gt;&lt;th&gt;Points&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;3&lt;/td&gt;&lt;td&gt;-11&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;4&lt;/td&gt;&lt;td&gt;-8&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;5&lt;/td&gt;&lt;td&gt;-5&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;6&lt;/td&gt;&lt;td&gt;-3&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;7&lt;/td&gt;&lt;td&gt;-1&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;8&lt;/td&gt;&lt;td&gt;0&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;9&lt;/td&gt;&lt;td&gt;1&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;10&lt;/td&gt;&lt;td&gt;2&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;11&lt;/td&gt;&lt;td&gt;3&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;12&lt;/td&gt;&lt;td&gt;4&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;13&lt;/td&gt;&lt;td&gt;5&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;14&lt;/td&gt;&lt;td&gt;6&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;15&lt;/td&gt;&lt;td&gt;8&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;16&lt;/td&gt;&lt;td&gt;10&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;17&lt;/td&gt;&lt;td&gt;13&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;18&lt;/td&gt;&lt;td&gt;16&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;Here are the results which should be of use to most people. Note that I round to the nearest percent, except for the extremes (-10 pts. and 45 pts.).&lt;table border=&quot;1&quot;&gt;&lt;tr&gt;&lt;th&gt;Points&lt;/th&gt;&lt;th&gt;Percentile&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;-10&lt;/td&gt;&lt;td&gt;0.5&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;-1&lt;/td&gt;&lt;td&gt;4&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;3&lt;/td&gt;&lt;td&gt;10&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;7&lt;/td&gt;&lt;td&gt;20&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;9&lt;/td&gt;&lt;td&gt;25&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;10&lt;/td&gt;&lt;td&gt;30&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;13&lt;/td&gt;&lt;td&gt;40&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;15&lt;/td&gt;&lt;td&gt;50&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;17&lt;/td&gt;&lt;td&gt;60&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;20&lt;/td&gt;&lt;td&gt;70&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;21&lt;/td&gt;&lt;td&gt;75&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;23&lt;/td&gt;&lt;td&gt;80&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;27&lt;/td&gt;&lt;td&gt;90&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;28&lt;/td&gt;&lt;td&gt;93&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;32&lt;/td&gt;&lt;td&gt;97&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;37&lt;/td&gt;&lt;td&gt;99&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;45&lt;/td&gt;&lt;td&gt;99.9&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;Here are the point-buy/4d6 drop 1 comparisons:&lt;table border=&quot;1&quot;&gt;&lt;tr&gt;&lt;th&gt;Points&lt;/th&gt;&lt;th&gt;4d6 drop 1 %&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;-10&lt;/td&gt;&lt;td&gt;0.004&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;-1&lt;/td&gt;&lt;td&gt;0.1&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;16&lt;/td&gt;&lt;td&gt;10&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;20&lt;/td&gt;&lt;td&gt;20&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;22&lt;/td&gt;&lt;td&gt;25&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;23&lt;/td&gt;&lt;td&gt;30&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;25&lt;/td&gt;&lt;td&gt;39&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;26&lt;/td&gt;&lt;td&gt;40&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;28&lt;/td&gt;&lt;td&gt;50&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;30&lt;/td&gt;&lt;td&gt;60&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;32&lt;/td&gt;&lt;td&gt;68&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;33&lt;/td&gt;&lt;td&gt;70&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;34&lt;/td&gt;&lt;td&gt;75&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;36&lt;/td&gt;&lt;td&gt;80&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;40&lt;/td&gt;&lt;td&gt;90&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;51&lt;/td&gt;&lt;td&gt;99&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td&gt;60&lt;/td&gt;&lt;td&gt;99.9&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;Hmmm. I find it interesting that a 25 point character is 'below average' using the 4d6 drop 1 method. And one in ten characters will be at 40 points or more. A 28 point character is 'average' (as far as pc's go).</blockquote>

[QUOTE="tmaaas, post: 1231362, member: 6481"] Here are a couple posts I made a long time ago (on the original Eric Noah's Third Edition News boards). They seem applicable to this discussion. These statistics do not include rerolling "hopeless" characters. Also, if you use a different method for extending the point-cost method downward it will change the results. ======================================================= Buy your 1-in-a-1000 hero here for only . . . 49 points! (Using the point-buy method for character generation, of course.) Yes, that's right. A true bargain. And you'll have stats so good it'd take 1,000 tries using the 'natural' 3d6 method to meet or beat 'em. . . on average. I was curious as to how point-buy generated characters would compare with the normal population, on a percentile basis. In other words, is a 25 point character better than 75% of the natural (3d6) populace? 85%? How about a 32 point character? Say I wanted a 'heroic' campaign where the pc's are 1-in-a-100 type of people? And so I sat down one evening with my trusty laptop and figured it all out . . . Warning: all the following figures are based upon the assumption that the point-cost for a stat scales down from 10.5 (the statistical average) in the same manner they scale upwards. Thus, the difference between 3 and 4 is three points, same as the difference between 17 and 18. Note that because zero is placed at 8 instead of 10.5 (the mean), the scale is asymmetric. The scale: <table border="1"><tr><th>Stat</th><th>Points</th></tr><tr><td>3</td><td>-11</td></tr><tr><td>4</td><td>-8</td></tr><tr><td>5</td><td>-5</td></tr><tr><td>6</td><td>-3</td></tr><tr><td>7</td><td>-1</td></tr><tr><td>8</td><td>0</td></tr><tr><td>9</td><td>1</td></tr><tr><td>10</td><td>2</td></tr><tr><td>11</td><td>3</td></tr><tr><td>12</td><td>4</td></tr><tr><td>13</td><td>5</td></tr><tr><td>14</td><td>6</td></tr><tr><td>15</td><td>8</td></tr><tr><td>16</td><td>10</td></tr><tr><td>17</td><td>13</td></tr><tr><td>18</td><td>16</td></tr></table> Here are the results which should be of use to most people. Note that I round to the nearest percent, except for the extremes (-10 pts. and 45 pts.). <table border="1"><tr><th>Points</th><th>Percentile</th></tr><tr><td>-10</td><td>0.5</td></tr><tr><td>-1</td><td>4</td></tr><tr><td>3</td><td>10</td></tr><tr><td>7</td><td>20</td></tr><tr><td>9</td><td>25</td></tr><tr><td>10</td><td>30</td></tr><tr><td>13</td><td>40</td></tr><tr><td>15</td><td>50</td></tr><tr><td>17</td><td>60</td></tr><tr><td>20</td><td>70</td></tr><tr><td>21</td><td>75</td></tr><tr><td>23</td><td>80</td></tr><tr><td>27</td><td>90</td></tr><tr><td>28</td><td>93</td></tr><tr><td>32</td><td>97</td></tr><tr><td>37</td><td>99</td></tr><tr><td>45</td><td>99.9</td></tr></table> Here are the point-buy/4d6 drop 1 comparisons: <table border="1"><tr><th>Points</th><th>4d6 drop 1 %</th></tr><tr><td>-10</td><td>0.004</td></tr><tr><td>-1</td><td>0.1</td></tr><tr><td>16</td><td>10</td></tr><tr><td>20</td><td>20</td></tr><tr><td>22</td><td>25</td></tr><tr><td>23</td><td>30</td></tr><tr><td>25</td><td>39</td></tr><tr><td>26</td><td>40</td></tr><tr><td>28</td><td>50</td></tr><tr><td>30</td><td>60</td></tr><tr><td>32</td><td>68</td></tr><tr><td>33</td><td>70</td></tr><tr><td>34</td><td>75</td></tr><tr><td>36</td><td>80</td></tr><tr><td>40</td><td>90</td></tr><tr><td>51</td><td>99</td></tr><tr><td>60</td><td>99.9</td></tr></table> Hmmm. I find it interesting that a 25 point character is 'below average' using the 4d6 drop 1 method. And one in ten characters will be at 40 points or more. A 28 point character is 'average' (as far as pc's go). [/QUOTE]

Verification