A supervisor finds the mean number of miles that the employees in a department live from work. He finds line segment x is equal to 29 and s is equal to 3 point 6 Which statement must be true?

Calculate the z-score for 37 miles using z = (value − mean) ÷ standard deviation. Here, z = (37 − 29) ÷ 3.6 = 8 ÷ 3.6 ≈ 2.22. Since 2.22 is between 2 and 3, 37 miles is between 2 and 3 standard deviations above the mean, so choice B is correct.

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