91Ó°ÊÓ

Peter runs a time in the league championship meet that is in the ${80}^{th}$ percentile of all his racing times for the season. However, his performance in the league championship meet places him in the ${50}^{th}$ percentile. We must demonstrate how this is achievable.

A score in the ${95}^{th}$ percentile is a figure on a scale of$100$ that represents the percent of a distribution that is equal to or below it.

"${80}^{th}$ percentile of all his race times that season," P writes. In the league championship meet, my performance was "${50}^{th}$ percentile." That season, he finished in the ${80}^{th}$ percentile of all his racing times." This signifies that the time taken in this championship is in the ${80}^{th}$ percentile, which is calculated by dividing the ${20}^{th}$ percentile of his records by the ${80}^{th}$ percentile of his slowest timings. In the league championship meet, I was in the ${50}^{th}$ percentile." This means that P time is in the ${50}^{th}$ percentile, which is calculated by subtracting the ${50}^{th}$ slower timings from the ${50}^{th}$ off asset times of all player records in the championship. As a result, P is in the median when compared to other players, but he is in the ${80}^{th}$ percentile when compared to his own recording times.