On December 4, 2009, Tracy McGrady of the Houston Rockets scored 13 points in the last minute of a game (in fact, within 35 seconds!) against the San Antonio Spurs. He scored 4 three-pointers including a 4-point play. The Rockets scored 17 points in the last minute (possibly a record), and they had a net gain of 11 points in the last minute (also possibly a record).
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There is much more information needed to answer this question.
What time of year? What time of day? Where? What country? In the NBA? In College Basketball? Both?
If you mean the average amount of Basketball shots made in one minute total, then this question cannot be answered. Anyone can make a basketball shot at anytime.