<p>I mentioned this once before, a long time ago, but can't find it now.  There is [supposed to be] a distinction between them.  <code>[normal-distribution]</code> is about the distribution itself, whereas <code>[normality]</code> is a property.  For example, </p>

<blockquote>
  <p>How is the chi-squared distribution related to the normal distribution?  </p>
</blockquote>

<p>would be a question appropriate for the <code>[normal-distribution]</code> tag.  On the other hand, </p>

<blockquote>
  <p>How important is the normality assumption for valid inference with a multiple regression model?  </p>
</blockquote>

<p>is a question appropriate for the <code>[normality]</code> tag.  </p>

<p>That said, while better excerpts might be helpful, these are probably just too close together to ever be consistently used correctly by a large number of different users, many of whom are not steeped in how the site works and/or these kinds of nuances.  I still think making them synonyms is a viable option.  </p>

<p>Another option is to change the name of <code>[normality]</code> to <code>[normality-assumption]</code> and substantially rewrite the excerpts (and perhaps wikis).  That might make it sufficiently clear to be workable going forward.  </p>
