Free Standard Score Calculator
Convert a raw score to a standard score (T-score) with a mean of 50 and standard deviation of 10 for educational testing.
T-Score (Standard Score)
58.8
Z-Score0.88
Deviation from Mean7.0
T-Score (Standard Score) vs Your Score
How to Calculate a Standard Score (T-Score)
A T-score rescales your z-score to a distribution with mean 50 and standard deviation 10.
Formula
T-Score = 50 + 10 x Z
Where Z = (Score - Mean) / Standard Deviation
T-scores eliminate negative numbers and decimals, making interpretation easier.
Example Calculation
A student scores 82 in a group with mean 75 and standard deviation 8.
- 01Z-score = (82 - 75) / 8 = 0.875
- 02T-score = 50 + 10 x 0.875 = 58.75
- 03The student is above average with a T-score of 58.75.