Subjects statistics

Runs Distribution 8B319A

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1. **State the problem:** We are given a distribution of runs scored by the Ravens' baseball team in several games and need to analyze the statements describing the data distribution. 2. **Data given:** Runs scored and their frequencies: - 0 runs: 1 game - 2 runs: 2 games - 3 runs: 2 games - 4 runs: 3 games - 5 runs: 2 games - 6 runs: 1 game 3. **Check the statements:** - **Peak at 4 runs:** The highest frequency is 3 games at 4 runs, so the data has a peak at 4 runs. - **Spread from 0 to 6 runs:** The minimum run is 0 and maximum is 6, so the data is spread from 0 to 6 runs. - **Roughly symmetric distribution:** The frequencies around the peak 4 runs are balanced: 2 runs (2), 3 runs (2) on the left and 5 runs (2), 6 runs (1) on the right. The distribution is approximately symmetric but slightly skewed right due to 6 runs having fewer games. 4. **Conclusion:** - The data has a peak at 4 runs. - The data is spread out from 0 to 6 runs. - The distribution is roughly symmetric. All three statements correctly describe the data distribution.