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<blockquote data-quote="DND_Reborn" data-source="post: 8576362" data-attributes="member: 6987520">Nitpick: 2d10 has a peak at 11, not 10.5. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f609.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=";)" title="Wink&nbsp; &nbsp; ;)"&nbsp; data-smilie="2"data-shortname=";)" />2dX is not a bell-curve, although this is commonly assumed to be because it meets some important criteria for bell-curves: a) a central peak, b) symmetry around the peak, and c) continuously decreasing distribution from the peak in both directions. It is often mistakenly given as an example of a bell-curve, but is really sometimes called a pyramid distribution.Bell-curves have two points of inflection, located one standard deviation above and below the mean, where the concavity of the curve changes. See below for examples:&nbsp;d20 has 0 points of inflection because the distribution &quot;line&quot; never curves.[ATTACH=full]153598[/ATTACH]2d10 distribution has one critical point where the slope reverses at the peak, but this is not a point of inflection.[ATTACH=full]153599[/ATTACH]3d6 distribution has two points of inflection and thus is a bell-curve (but it should be noted is FAR from a normal distribution!!!):[ATTACH=full]153601[/ATTACH]</blockquote>

[QUOTE="DND_Reborn, post: 8576362, member: 6987520"] Nitpick: 2d10 has a peak at 11, not 10.5. ;) 2dX is not a bell-curve, although this is commonly assumed to be because it meets some important criteria for bell-curves: a) a central peak, b) symmetry around the peak, and c) continuously decreasing distribution from the peak in both directions. It is often mistakenly given as an example of a bell-curve, but is really sometimes called a pyramid distribution. Bell-curves have two points of inflection, located one standard deviation above and below the mean, where the concavity of the curve changes. See below for examples: d20 has 0 points of inflection because the distribution "line" never curves. [ATTACH type="full"]153598[/ATTACH] 2d10 distribution has one critical point where the slope reverses at the peak, but this is not a point of inflection. [ATTACH type="full"]153599[/ATTACH] 3d6 distribution has two points of inflection and thus is a bell-curve (but it should be noted is FAR from a normal distribution!!!): [ATTACH type="full"]153601[/ATTACH] [/QUOTE]

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