1. **State the problem:** We need to find the mean number of goals Maeve's team scores per match from the data: 3, 1, 1, 0, 2, 7, 1, 0, 2, 1, 3. 2. **Formula for mean:** The mean is calculated by dividing the sum of all values by the number of values. $$\text{Mean} = \frac{\text{Sum of all goals}}{\text{Number of matches}}$$ 3. **Calculate the sum of goals:** $$3 + 1 + 1 + 0 + 2 + 7 + 1 + 0 + 2 + 1 + 3 = 21$$ 4. **Count the number of matches:** There are 11 matches. 5. **Calculate the mean:** $$\text{Mean} = \frac{21}{11}$$ 6. **Simplify the fraction:** $$\frac{21}{11} = 1.9090...$$ 7. **Round to 1 decimal place:** $$1.9$$ **Final answer:** The mean number of goals scored per match is **1.9**. --- For part (e), to complete the pie chart: 1. Count the frequency of each goal number: - 0 goals: 2 matches - 1 goal: 4 matches - 2 goals: 2 matches - 3 goals: 2 matches - 7 goals: 1 match 2. Calculate the angle for each sector using: $$\text{Angle} = \frac{\text{Frequency}}{11} \times 360^\circ$$ 3. Calculate each angle: - 0 goals: $$\frac{2}{11} \times 360 = 65.45^\circ$$ - 1 goal: $$\frac{4}{11} \times 360 = 130.91^\circ$$ - 2 goals: $$\frac{2}{11} \times 360 = 65.45^\circ$$ - 3 goals: $$\frac{2}{11} \times 360 = 65.45^\circ$$ - 7 goals: $$\frac{1}{11} \times 360 = 32.73^\circ$$ 4. Label each sector with the number of goals and the corresponding angle. This completes the pie chart summary of the data.