Question
The following dot plots show the numbers of injuries per game for two teams. Each dot represents a different game.
"A dot plot. The number line, labeled Number of injured Bulldogs players, is numbered 0 to 5.
Point 0 has 4 dots.
Point 1 has 2 dots.
Point 2 has 5 dots.
Point 5 has 1 dot. "
\[0\]
\[1\]
\[2\]
\[3\]
\[4\]
\[5\]
"A dot plot. The number line, labeled Number of injured Tornado players, is numbered 0 to 5.
Point 1 has 1 dot.
Point 2 has 2 dots.
Point 3 has 6 dots.
Point 4 has 2 dots. "
\[0\]
\[1\]
\[2\]
\[3\]
\[4\]
\[5\]
Compare the typical number of injuries per game.
In general, the players on the
had fewer injuries, with
per game.
Related content
"A dot plot. The number line, labeled Number of injured Bulldogs players, is numbered 0 to 5.
Point 0 has 4 dots.
Point 1 has 2 dots.
Point 2 has 5 dots.
Point 5 has 1 dot. "
\[0\]
\[1\]
\[2\]
\[3\]
\[4\]
\[5\]
"A dot plot. The number line, labeled Number of injured Tornado players, is numbered 0 to 5.
Point 1 has 1 dot.
Point 2 has 2 dots.
Point 3 has 6 dots.
Point 4 has 2 dots. "
\[0\]
\[1\]
\[2\]
\[3\]
\[4\]
\[5\]
Compare the typical number of injuries per game.
In general, the players on the
had fewer injuries, with
per game.
Related content
Answers
GPT-4o mini
To compare the typical number of injuries per game for the Bulldogs and the Tornado players based on the given dot plots:
**Bulldogs Injuries:**
- **0 injuries:** 4 games
- **1 injury:** 2 games
- **2 injuries:** 5 games
- **5 injuries:** 1 game
Total games played = 4 + 2 + 5 + 1 = 12 games.
**Calculating the mean for Bulldogs:**
- Total injuries = \( (0 \times 4) + (1 \times 2) + (2 \times 5) + (5 \times 1) = 0 + 2 + 10 + 5 = 17 \) injuries.
- Mean = Total injuries / Total games = \( 17 / 12 \approx 1.42 \) injuries per game.
**Tornado Injuries:**
- **1 injury:** 1 game
- **2 injuries:** 2 games
- **3 injuries:** 6 games
- **4 injuries:** 2 games
Total games played = 1 + 2 + 6 + 2 = 11 games.
**Calculating the mean for Tornado:**
- Total injuries = \( (1 \times 1) + (2 \times 2) + (3 \times 6) + (4 \times 2) = 1 + 4 + 18 + 8 = 31 \) injuries.
- Mean = Total injuries / Total games = \( 31 / 11 \approx 2.82 \) injuries per game.
**Comparison:**
In general, the players on the **Bulldogs** had fewer injuries, with **approximately 1.42** injuries per game, compared to the Tornado players, who averaged about **2.82 injuries per game**.
**Bulldogs Injuries:**
- **0 injuries:** 4 games
- **1 injury:** 2 games
- **2 injuries:** 5 games
- **5 injuries:** 1 game
Total games played = 4 + 2 + 5 + 1 = 12 games.
**Calculating the mean for Bulldogs:**
- Total injuries = \( (0 \times 4) + (1 \times 2) + (2 \times 5) + (5 \times 1) = 0 + 2 + 10 + 5 = 17 \) injuries.
- Mean = Total injuries / Total games = \( 17 / 12 \approx 1.42 \) injuries per game.
**Tornado Injuries:**
- **1 injury:** 1 game
- **2 injuries:** 2 games
- **3 injuries:** 6 games
- **4 injuries:** 2 games
Total games played = 1 + 2 + 6 + 2 = 11 games.
**Calculating the mean for Tornado:**
- Total injuries = \( (1 \times 1) + (2 \times 2) + (3 \times 6) + (4 \times 2) = 1 + 4 + 18 + 8 = 31 \) injuries.
- Mean = Total injuries / Total games = \( 31 / 11 \approx 2.82 \) injuries per game.
**Comparison:**
In general, the players on the **Bulldogs** had fewer injuries, with **approximately 1.42** injuries per game, compared to the Tornado players, who averaged about **2.82 injuries per game**.