Definition:T-Score

Definition

Let $X$ be a random variable whose expectation is $\mu$ and whose standard deviation is $\sigma$.

The $T$-score of $X$ is given by the transformation:

$T = 50 + \dfrac {10 \paren {X - \mu} } \sigma$

Also see

• Results about the $T$-score can be found here.

Historical Note

The $T$-score is a statistic occasionally used in preference to a standardized random variable.

It is mainly used to standardize educational data about a mean score of $50$.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): $T$-score
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): $T$-score