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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 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 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 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 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 look at the data points provided for both players.

For Player A:

  • Games played: 0, 2, and 4
  • Points scored: 0, 40, and 80

Calculating the average points per game for Player A:

  1. Total points scored = 0 + 40 + 80 = 120 points
  2. Total games played = 3 (because we consider the intervals represented by the data points)
  3. Average points per game = Total points / Total games = 120 / 3 = 40 points per game

For Player B:

  • Games played: 0, 3, and 5
  • Points scored: 0, 45, and 75

Calculating the average points per game for Player B:

  1. Total points scored = 0 + 45 + 75 = 120 points
  2. Total games played = 3
  3. Average points per game = Total points / Total games = 120 / 3 = 40 points per game

Since both players averaged 40 points per game, the correct conclusion is that neither player scored more points than the other when averaged across the games played.

However, if we focus on the specific data provided, I noticed an inconsistency with the statements in your options. Please check the statements again as none reflect the average we've calculated.

If you meant for total points to be considered over the range of games they played, then based on the intervals:

Player A had a peak of 80 points and Player B had a peak of 75 points. This means in terms of maximum performance Player A performed better.

Do let me know if you'd like to analyze further!