What statistical measure is represented by a mean of 50 and a standard deviation of 10?

• A. T-score
• B. Z-score
• C. Standard score
• D. Percentile rank

Answer: (A)

The statistical measure characterized by a mean of 50 and a standard deviation of 10 is recognized as a T-score. T-scores are standardized scores that indicate how much a particular score deviates from the mean in units of standard deviation, but they are specifically scaled to have a mean of 50 and a standard deviation of 10. This makes it particularly useful in contexts where comparison across different tests or measures is necessary, as the T-score transforms raw scores into a standardized format that is easy to interpret.

In this case, the mean of 50 serves as the central point of the distribution, and the standard deviation of 10 indicates how scores are distributed around the mean. A T-score provides a clear and interpretable way to understand how a specific score relates to the average in a given dataset, making this measure particularly valuable in psychological testing and research.

While other terms like Z-score and standard score are also standardized measures, they represent different scales. A Z-score has a mean of 0 and a standard deviation of 1, while general standard scores can vary depending on their specific calculation. Percentile rank, on the other hand, expresses a score's relative standing among a group but does not specifically tie to the mean and standard deviation in