1. **Problem Statement:** We have two boxplots representing average points per game for two players over multiple seasons. We need to answer: a) Which player had the highest average points per game in a season? b) Which player was more consistent? c) Which player had more seasons with average points per game at or above 34? d) How to identify outliers in boxplots? 2. **Understanding Boxplots:** - The box shows the interquartile range (IQR), from Q1 (25th percentile) to Q3 (75th percentile). - The line inside the box is the median (50th percentile). - Whiskers extend to the minimum and maximum values within 1.5 times the IQR from the quartiles. - Outliers are points beyond the whiskers. 3. **Given Data from Description:** - Player 1: whiskers from about 28 to 42, median near 34-35. - Player 2: whiskers from about 23 to 52, box from 27 to 45, median near 34-35. 4. **Answering (a): Highest average points per game in a season** - Player 1 max ~42 - Player 2 max ~52 - So, Player 2 had the highest average points per game in a season. 5. **Answering (b): More consistent player** - Consistency relates to spread: smaller spread means more consistent. - Player 1 range: 42 - 28 = 14 - Player 2 range: 52 - 23 = 29 - Player 1 has a smaller range, so Player 1 was more consistent. 6. **Answering (c): More seasons with average points per game at or above 34** - Median for both near 34-35, so about half the seasons are above 34. - Player 1 box roughly 28 to 42, median near 34-35. - Player 2 box roughly 27 to 45, median near 34-35. - Player 2's box is larger, so more seasons likely above 34. - Exact count not given, but Player 2 likely had more seasons at or above 34. 7. **Answering (d): Identifying outliers in boxplots** - Outliers are data points outside the whiskers. - Whiskers extend to the smallest and largest data points within 1.5 times the IQR from Q1 and Q3. - Any points beyond this range are plotted individually as outliers. **Final answers:** - a) Player 2 had the highest average points per game in a season. - b) Player 1 was more consistent. - c) Player 2 had more seasons with average points per game at or above 34. - d) Outliers are identified as points beyond 1.5 times the IQR from the quartiles, shown outside the whiskers on boxplots.