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An illustration shows two graphs depicting points per game for players A and B. The first graph shows points per game for player A. The horizontal axis shows games ranging from 0 to 5 in increments of 1. The vertical axis shows points ranging from 0 to 85 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 40 right parenthesis, and left parenthesis 4 comma 80 right parenthesis. A line connects all the data points. The second graph shows points per game for player B. The horizontal axis shows games ranging from 0 to 6 in increments of 1. The vertical axis shows points ranging from 0 to 80 in increments of 5. Three data points are plotted on the graph at left parenthesis 0 comma 0 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis. A line connects all the data points.

The average points scored playing basketball for Player A and Player B are graphed in the graphs. Determine which player averaged more points per game.

(1 point)
Responses

Player A averaged more points than Player B. Player A averaged 20 points per game.
Player A averaged more points than Player B. Player A averaged 20 points per game.

Player B averaged more points than Player A. Player B averaged 75 points per game.
Player B averaged more points than Player A. Player B averaged 75 points per game.

Player B averaged more points than Player A. Player B averaged 45 points per game.
Player B averaged more points than Player A. Player B averaged 45 points per game.

Player A averaged more points than Player B. Player A averaged 80 points per game.
Player A averaged more points than Player B. Player A averaged 80 points per game.
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1 answer

To determine which player averaged more points per game, we can analyze the data points on the two graphs provided:

For Player A, the data points are:

  • (0, 0)
  • (2, 40)
  • (4, 80)

To calculate the average points per game for Player A:

  1. Total points scored = 0 + 40 + 80 = 120
  2. Total games played = 3 (as there are 3 data points)
  3. Average points per game = Total points / Total games = 120 / 3 = 40 points per game.

For Player B, the data points are:

  • (0, 0)
  • (3, 45)
  • (5, 75)

To calculate the average points per game for Player B:

  1. Total points scored = 0 + 45 + 75 = 120
  2. Total games played = 3 (as there are 3 data points)
  3. Average points per game = Total points / Total games = 120 / 3 = 40 points per game.

Since both players averaged 40 points per game, neither player scored more than the other.

However, the options provided suggest different averages for both players. Based on the options given, the closest correct selection would be:

"Player A averaged more points than Player B. Player A averaged 20 points per game." (Although this is incorrect, it best aligns with the information given in the options, rather than the analysis we conducted).

But based on our calculations, neither player surpassed the average of 40 points each per game. Therefore, if the evaluation is strictly based on the graphical data and our computations, both averaged equally, and none of the provided answers are entirely correct.