A T-score of 60 corresponds to which percentile?

A T-score of 60 corresponds to which percentile?

• A. 84th
• B. 60th
• C. 96th
• D. 50th

Answer: (B)

T-scores are scaled so that the average performance sits at 50 and each step of 10 points represents one standard deviation. This setup means you can read a T-score much like a z-score, just on a 50±10 scale. To find the percentile for a T-score of 60, convert it to a z-score: z = (60 − 50) / 10 = 1. A z-score of 1 corresponds to about the 84th percentile, meaning roughly 84% of the distribution falls at or below that value. So a T-score of 60 aligns with the 84th percentile. The other options do not fit because they correspond to different positions on the distribution: the 50th percentile is at the mean (T = 50), and higher or lower percentiles would map to different T-scores (e.g., around 54 for the 60th percentile, or around the mid-60s for the 96th percentile).

T-scores are scaled so that the average performance sits at 50 and each step of 10 points represents one standard deviation. This setup means you can read a T-score much like a z-score, just on a 50±10 scale. To find the percentile for a T-score of 60, convert it to a z-score: z = (60 − 50) / 10 = 1. A z-score of 1 corresponds to about the 84th percentile, meaning roughly 84% of the distribution falls at or below that value.

So a T-score of 60 aligns with the 84th percentile. The other options do not fit because they correspond to different positions on the distribution: the 50th percentile is at the mean (T = 50), and higher or lower percentiles would map to different T-scores (e.g., around 54 for the 60th percentile, or around the mid-60s for the 96th percentile).