To determine the average points per game for both Player A and Player B, we can calculate it by dividing the total points scored by the number of games played:
Player A
-
For the first point (2 points, 40 games): \[ \text{Average} = \frac{2}{40} = 0.05 \text{ points per game} \]
-
For the second point (4 points, 80 games): \[ \text{Average} = \frac{4}{80} = 0.05 \text{ points per game} \]
Player B
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For the first point (3 points, 45 games): \[ \text{Average} = \frac{3}{45} = 0.0667 \text{ points per game} \]
-
For the second point (5 points, 75 games): \[ \text{Average} = \frac{5}{75} = 0.0667 \text{ points per game} \]
Conclusion
Now, let us summarize the averages:
- Player A averages 0.05 points per game for both data points.
- Player B averages 0.0667 points per game for both data points.
Thus, Player B averaged more points than Player A.
As for the options provided:
- "Player B averaged more points than Player A Player B averaged 45 points per game" is incorrect.
- "Player A averaged more points than Player B Player A averaged 80 points per game" is incorrect.
- "Player A averaged more points than Player B. Player A averaged 20 points per game" is incorrect.
- "Player B averaged more points than Player A Player B averaged 75 points per game" is incorrect.
None of the options correctly reflect the average calculations. The correct conclusion is that Player B averaged more points per game (0.0667) than Player A (0.05), but specific average points stated in options are not correct.