I've noticed a lot of questions on Skeptics Stack Exchange that are centered around one claim or another derived from a published statistic. We would not be good skeptics if we weren't first skeptical of the nature by which said statistic was calculated.
Is there a good test, set of tests, or list of items to consider about any given statistic or statistical claim? These may be items that routinely crop up and contribute to the "something smells fishy" idea when encountering a "notable claim".
Examples of skeptics.SE questions with statistical claims concerning:
NOTE: this may almost be more of a Meta- question, but I thought it would likely be fine, here, too. A good answer here would be helpful in addressing many existing and future questions on this site.