Single games scores range up to $77,000 and at one time the prize sizes were smaller. The Jeopardy Archive does not list the Average winning score or amount and most winners are between 10 and 20 thousand dollars a game
Negative $2800 is the lowest winning score in Jeopardy history.
25
In season 25 the average winning score was $21,191 with the highest score of $49,699 and the lowest winning score of $599. The lowest losing score was -$4400. So far (March 17 2010) during season 26 the average winning score was $22,085 with the highest score of $68,000 and the lowest winning score of $3,000. The lowest score was $2,800. This information is available from the related link under miscellaneous statistics at the bottom of the page for each season.
104
The Jeopardy winning contestant with a final Score of only $2,100 was the new champion Josh Powell, a phone-based health coach from San Diego, California. see related link
From the statistics for Major League Baseball at http://www.retrosheet.org for 2009, the average score for the winning team was 6.37 runs, while the average score for the losing team was 2.85. Overall, teams scored an average of 4.61 runs per game. The source of data for this answer is the file at this URL: http://www.retrosheet.org/gamelogs/gl2009.zip
Atlanta Falcons with a winning score of 6 - 0 Atlanta Falcons with a winning score of 6 - 0
The winning score for Super Bowl X was 21 - 17 Steelers beat Cowboys
25
The lowest number of runs scored by a single team to win a Test match is 153, scored in a single innings by Australia, who beat South Africa by an innings margin.
The Jeopardy Archive claims it is only the second time that it happened in the Show's history In the old Art Fleming Jeopardy they have ended with no contestants able to play final Jeopardy because everyone's score was zero or below. That Makes the March 16 2011 Game result of only one contestant able to play Final Jeopardy not a record or a Tie of an existing record. The Jeopardy Archive does note that it is the second single final Jeopardy in the Show's history see related link
You can wager as much money as you decide up to the amount of you score.