Let's analyze the box-and-whisker plot to answer each question in detail.

1. Interquartile Range (IQR): This is the range between the first quartile (Q1) and third quartile (Q3). The IQR represents the spread of the middle 50% of the data.

   • Athlete A has a wider box, indicating a larger IQR than Athlete B.
   • Answer: Athlete A has a larger IQR.

2. Median Distance: The median is represented by the line inside each box.

   • Athlete A's median line appears further to the right than Athlete B's, indicating a greater median distance.
   • Answer: Athlete A has a greater median distance.

3. Rides Longer than 35 Miles: We look at the data points or "whiskers" extending beyond 35 miles.

   • Athlete A has data points or a whisker extending beyond 35 miles, while Athlete B does not.
   • Answer: Athlete A went on more rides longer than 35 miles.

4. Shortest Training Ride: The minimum value or the leftmost point on the whisker represents the shortest ride.

   • Athlete B has a whisker extending further to the left than Athlete A, indicating a shorter minimum distance.
   • Answer: Athlete B went on the shortest training ride.

Would you like further details on any specific part?

Related Questions

1. How can we calculate the exact interquartile range (IQR) from a box plot?
2. What is the significance of the median in a box-and-whisker plot?
3. How do whiskers on a box plot help in identifying outliers?
4. Why might an athlete have a larger range of distances in their training?
5. How can box plots be used to compare variability between two data sets?

Tip

When interpreting a box-and-whisker plot, always start by identifying the range, quartiles, and median as they provide insights into the spread and central tendency of the data.