1. Linear Transformations and Standardized Scores
If a and b are constants, then Y(new) = bY(old) + a
Rule for transforming
and
If you add (subtract) a constant from all scores, then you add (subtract) the same constant to, or from, the mean.
If you multiply (divide) each score by a constant, then you multiply (divide) the mean by the same constant.
Adding or subtracting a constant from all of the scores does NOT change the variance
If you multiply (divide) each score by a constant, then you multiply (divide) the variance by the square of the constant
In all cases, the relative relations between the scores are maintained.

2. y 10 -10 100 -1.225 20 30 1.225 Standardized Scores = deviation score
Squared
Standardized score 10
-10
100
-1.225 20 30
1.225 80