The counter is designed to be as flexible as possible for more advanced users. While it does not have many "automatic" features", most of the output can easily be formated if you know a bit of PHP.
I'm not quite sure what you mean by random stats, but the below code (if used on your page) will use the counter to generate a random stat:
$arr=array("Total Counts"=>"total", "Total Hits"=>"total_hits"); // add other fields as needed
$pick=rand(0, count($arr)-1); $i=0; // -1 because array keys start at 0
foreach($arr as $k=>$v) {if($i==$pick) echo "$k: ".stat_($v); $i++; }
There is a better way instead of the foreach method but I forget how to grab an array value via index; it works just fine though.