The dot plot below represents the number of goals scored by the boys' soccer team in every game so far this season.

GOALS SCORED
GOALS SCORED
Goals
the line goes from 0-5, 0 has 0 dots, 1 has 1, 2 has 2, 3 has 0, 4 has 1, 5 has 0.

1 answer

Based on the dot plot description, we can summarize the number of goals scored by the boys' soccer team in each game:

  • 0 goals: 0 games
  • 1 goal: 1 game
  • 2 goals: 2 games
  • 3 goals: 0 games
  • 4 goals: 1 game
  • 5 goals: 0 games

To analyze the data:

  1. Total number of games: There are a total of \(1 + 2 + 0 + 1 + 0 = 4\) games played so far.

  2. Sum of goals scored: The total number of goals scored can be calculated as follows:

    • \(1 \times 1 = 1\) goal from the game with 1 goal.
    • \(2 \times 2 = 4\) goals from the two games with 2 goals.
    • \(4 \times 1 = 4\) goals from the game with 4 goals.
    • Summing these gives us \(1 + 4 + 4 = 9\) total goals scored.
  3. Average goals per game: To find the average, divide the total goals scored by the number of games: \[ \text{Average} = \frac{\text{Total goals}}{\text{Number of games}} = \frac{9}{4} = 2.25 \]

In conclusion, the boys' soccer team has played 4 games and scored a total of 9 goals, averaging 2.25 goals per game.

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