Tyson wants to compare the swimming speeds of boys and girls at his school

MATHEMATICS · Multi-part · AP · AP Statistics · Exploring One-Variable Data · Exploring One-Variable Data

Problem

Tyson wants to compare the swimming speeds of boys and girls at his school. He randomly selects 10 boys and 10 girls, and records the time, in seconds, each person takes to swim two laps of the 25 m school pool. *Boys:* 32.2, 26.4, 35.6, 30.8, 28.5, 40.2, 27.3, 38.9, 29.0, 31.3 *Girls:* 36.2, 33.5, 28.1, 39.8, 31.6, 35.7, 37.3, 36.0, 39.7, 29.8 (1) Copy and complete the table:
BoysGirls
Mean xˉ\bar{x}
Median
Standard deviation
Range
(2) Which group: - generally swims faster - has the greater spread of swimming speeds? (3) How could Tyson improve the reliability of his findings?

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