Cut-off Time for the 8% Slowest Female High-School Athletes in Maine

What is the cut-off time for the 8% slowest runners?

Among the female high-school athletes in Maine, what time marks the cut-off for the 8% slowest runners?
o 6 minutes and 24 seconds
o 7 minutes and 33 seconds
o 7 minutes and 40 seconds
o 7 minutes and 24 seconds
o 6 minutes and 39 seconds

The cut-off time for the 8% slowest runners is:

The cut-off time (in minutes and seconds) for the 8% slowest runners among the female high-school athletes in Maine can be found using the z-score formula. The mean is 6.9 minutes and the standard deviation is 0.35 minutes.

The cut-off time for the 8% slowest runners among the female high-school athletes in Maine is 6 minutes and 24 seconds. This time signifies the threshold for additional training for those athletes who fall within the 8% slowest in terms of their running time.

To calculate the cut-off time, we utilize the z-score formula which involves standardizing the value based on the mean and standard deviation. The z-score formula is represented as z = (X - μ) / σ, where X is the value to be standardized, μ is the mean, and σ is the standard deviation.

By applying the formula with the given mean of 6.9 minutes and standard deviation of 0.35 minutes, we can determine that the cut-off time for the 8% slowest runners is 6 minutes and 24 seconds.

This cut-off time is crucial for identifying athletes who may require additional training to improve their performance and achieve better results in their running competitions. It serves as a benchmark for coaches and trainers to target specific individuals who need support in enhancing their running speed and endurance.

Understanding the cut-off time for the 8% slowest runners provides valuable insights into the performance distribution among female high-school athletes in Maine, enabling tailored training programs to be implemented for those in need of extra support.