Which statement about z-scores is true?

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Multiple Choice

Which statement about z-scores is true?

Z-scores show how far a value is from the mean in units of standard deviation, with the sign indicating direction. So a z-score of 2 means the value lies two standard deviations above the mean. That interpretation is exactly what the statement describes, making it true. The sign matters: a z-score of -2 would be two standard deviations below the mean, while 0 corresponds to the mean itself, not above it. In short, the magnitude tells you how far in standard deviations, and the positive sign tells you it’s above the mean, so two standard deviations above aligns with the standard way z-scores are read.

Z-scores show how far a value is from the mean in units of standard deviation, with the sign indicating direction. So a z-score of 2 means the value lies two standard deviations above the mean. That interpretation is exactly what the statement describes, making it true. The sign matters: a z-score of -2 would be two standard deviations below the mean, while 0 corresponds to the mean itself, not above it. In short, the magnitude tells you how far in standard deviations, and the positive sign tells you it’s above the mean, so two standard deviations above aligns with the standard way z-scores are read.

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