The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes. Which time represents the fastest 4% of runners?Find the z-table here.

The fastest 4% have times in the lowest 4% of the normal distribution. The z-score for the 4th percentile is about −1.75, so the corresponding time is 28 + (−1.75 × 5.4) ≈ 18.55 minutes. Therefore, 18.55 minutes represents the fastest 4% of runners.

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