To determine which athlete has the most consistency in her 400-meter race time, we need to look at the Interquartile Range (IQR) for each athlete. The IQR is a measure of statistical dispersion and represents the range within which the middle 50% of the data points lie. A smaller IQR indicates less variability and greater consistency.
Here are the statistics for the athletes:
- Athlete A: Median = 63 seconds, IQR = 3 seconds
- Athlete B: Median = 61 seconds, IQR = 2 seconds
- Athlete C: Median = 59 seconds, IQR = 4 seconds
To find the athlete with the most consistency, we compare their IQR values:
- Athlete A has an IQR of 3 seconds.
- Athlete B has an IQR of 2 seconds.
- Athlete C has an IQR of 4 seconds.
Athlete B has the smallest IQR of 2 seconds, indicating she has the most consistent 400-meter race times.
So, to complete the statement:
"Athlete B has the most consistency in her 400-meter race time, because her IQR is the smallest."
