Which of the following is an example of a normalized standard score?

A T-score is an example of a normalized standard score because it is a specific transformation of raw scores that allows for comparison across different datasets. By converting raw scores into T-scores, which have a mean of 50 and a standard deviation of 10, it standardizes scores to a common scale, enabling easier interpretation and comparison. The normalization process adjusts for variability in different sets of data, making it easier to identify how far a score is from the average in terms of standard deviations.

In contrast, a raw score represents the initial, unstandardized result from a measurement or assessment, making it challenging to interpret without context. Standard deviation is a statistical measure that describes the dispersion or spread of a set of values, but it is not a score itself. A quantile is a statistical term that indicates the position of a score relative to the entire distribution (such as quartiles), but it also does not represent a standardized score in the same way that T-scores do. Thus, the T-score stands out as the only normalized standard score among the options provided.