This raw score calculator will find a raw score given a z-score, mean, and standard deviation. Enter the three values, then you will get an answer and step-by-step explanation on how you can convert a z-score to a raw score yourself.

Afterward, take a look at the Z-Score Calculator to convert raw scores to z-scores. You GOT this!

### Answer: 140

### Solution:

The raw score formula is simply the z-score formula solved for x, the raw score. Depending on what your distribution represents, start by either writing the formula for the raw score of a population: $$ x = \mu + z{\sigma} $$

or the formula for the z-score of a sample: $$ x = \bar{x} + zs $$

Substitute in values for this problem (z-score, mean, and standard deviation) into the formula: $$ x = 166 + (-2)(13) $$

$$ x = 140$$