1. **State the problem:** Find the mean number of goals the soccer team scored in 8 games based on the dot plot. 2. **Identify the data from the dot plot:** - 0 goals: 1 game - 1 goal: 3 games - 2 goals: 1 game - 3 goals: 2 games - 5 goals: 1 game 3. **Formula for mean:** $$\text{Mean} = \frac{\text{Sum of all data values}}{\text{Number of data points}}$$ 4. **Calculate the sum of goals:** $$0 \times 1 + 1 \times 3 + 2 \times 1 + 3 \times 2 + 5 \times 1 = 0 + 3 + 2 + 6 + 5 = 16$$ 5. **Calculate the mean:** $$\text{Mean} = \frac{16}{8} = 2$$ 6. **Interpretation:** The mean number of goals scored by the team is 2 goals. 1. **State the problem:** Determine the number of students in the class and analyze the data distribution from the dot plot showing states visited. 2. **Part A: Count the total number of students:** The problem states there are 29 students. 3. **Part B: Analyze the distribution:** - The data distribution is skewed to the right because there is a long tail towards higher values. - The peak (mode) is at 3 states visited. - The largest gap in data is from 28 to 37 states. **Final answers:** - Mean number of goals scored: **2** - Number of students in the class: **29** - Data distribution: **skewed to the right** - Peak at: **3 states** - Largest gap: **28 to 37 states**