Statistics

Raw Score Calculator

Convert a z-score back to a raw score.

Calculated Output

Raw score 122.5

Formula: x = mean + z * SD

Step-by-Step Breakdown

1. Values used:

2. Z-score = 1.5

3. Mean = 100

4. Standard deviation = 15

6. Raw score = 122.5

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The math behind it

x = mean + z * SD, the inverse of the z-score formula.

z 1.5, mean 100, SD 15 gives raw 122.5.

How is this the inverse of z?

z = (x - mean)/SD rearranges to x = mean + z*SD.