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Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the 80th percentile of all his race times that season. But his performance places him at the 50th percentile in the league championship meet. Explain how this is possible. (Remember that lower times are better in this case!)

Short Answer

Expert verified

P is in the middle of the pack when compared to other players, but he is in the top 80% when it comes to his own recording times.

Step by step solution

01

Step 1. Given

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

02

Step 2. Concept

A score in the 95th percentile is a figure on a scale of100 that represents the percent of a distribution that is equal to or below it.

03

Step 3. Explanation

"80th percentile of all his race times that season," P writes. In the league championship meet, my performance was "50th percentile." That season, he finished in the 80th percentile of all his racing times." This signifies that the time taken in this championship is in the 80th percentile, which is calculated by dividing the 20th percentile of his records by the 80th percentile of his slowest timings. In the league championship meet, I was in the 50th percentile." This means that P time is in the 50th percentile, which is calculated by subtracting the 50th slower timings from the 50th 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 80th percentile when compared to his own recording times.

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