Question: Comparing performance: percentiles Peter is a star runner on the track team, and Molly is one of the best sprinters on the swim team. Both

Comparing performance: percentiles Peter is a star runner on the track team, and Molly is one of the best sprinters on the swim team. Both athletes qualify for the league championship meet based on their performance during the regular season.

(a) In the track playoff s, 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.

(b) Molly swims a bit slowly for her in the league swim meet, recording a time that would fall at the 50th percentile of all her meet times that season. But her performance places Molly at the 80th percentile in this event at the league meet.

Explain how this could happen.

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