two athletes are training for a cycling race. each athlete recorded the distance (in miles) of their previous 70 training rides.
which athlete went on the shortest training ride?
which athlete had distances with a larger interquartile range
which athlete had a greater median distance
which athlete had a smaller range of distance
To answer your questions about the two athletes' training rides, I would need the specific data from their previous 70 training rides. Since you have not provided the actual distances for each training ride, I can only explain how you would determine the answers if you had the data.
1. Shortest training ride:
You would look at all the recorded distances for both athletes and identify the single shortest ride among them. The athlete with the shortest distance in their records went on the shortest training ride.
2. Larger interquartile range (IQR):
Interquartile range is calculated by finding the difference between the third quartile (Q3, or the 75th percentile) and the first quartile (Q1, or the 25th percentile): IQR = Q3 - Q1. The athlete with the larger numerical difference between Q3 and Q1 has the larger interquartile range.
3. Greater median distance:
The median is the middle value when all the rides are ordered from shortest to longest. If you list all the distances for each athlete and find the middle value, the athlete with the higher middle value has a greater median distance. In the case of an even number of observations, the median is the average of the two middle values.
4. Smaller range of distance:
The range of distance is calculated by subtracting the shortest ride from the longest ride. You would find the minimum and maximum distances for each athlete and then subtract the two: Range = Maximum distance - Minimum distance. The athlete with the smaller numerical difference has the smaller range of distances.
If you can provide the data for each athlete's training rides, I would be able to calculate and give you the specific answers to your questions.