>A List is a List.  There has to be some other explanation for the
>weirdness. 

Duh! I was accidentally calling init(). Obviously that does not work with an 
abstract class ;)

This seems to work:

<cfscript>
  cfArray = [ javacast("double", 15.0), javacast("double", 22.5) ];
  Box = createObject("java", 
"org.jfree.data.statistics.BoxAndWhiskerCalculator");
  item = Box.calculateBoxAndWhiskerStatistics( cfArray );
</cfscript>

<cfdump var="#item#"> 

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