Which statement is true about a Z-score of 3?

Which statement is true about a Z-score of 3?

• A. The corresponding value is three standard deviations below the mean.
• B. The corresponding value is equal to the mean.
• C. The corresponding value is two standard deviations above the mean.
• D. The corresponding value is three standard deviations above the mean.

Answer: (D)

A Z-score tells us how many standard deviations a value is from the mean. A Z-score of 3 means the value lies three standard deviations above the mean, so it is above the center, not at the mean and not below it. This identifies the data point’s position relative to the distribution, with larger positive Z-scores indicating farther above the mean.

A Z-score tells us how many standard deviations a value is from the mean. A Z-score of 3 means the value lies three standard deviations above the mean, so it is above the center, not at the mean and not below it. This identifies the data point’s position relative to the distribution, with larger positive Z-scores indicating farther above the mean.