How do you calculate a raw score from a z score?

z = (x - μ) / σ is the formula where x is the raw score and z is the z-score. μ and σ are the mean and standard deviations and must be known numbers.

Multiply both sides by σ

zσ = x-μ

Add μ to both sides

μ + zσ = x

x = μ + zσ

You calculate the raw score x , given the z-score, μ and σ by using the above formula.