Normal Distribution

Raw Score Calculator

Use this raw score calculator to find a raw score from a z score, percentile, or probability in a normal distribution. Enter the mean and standard deviation, then calculate the corresponding x value with a graph and step-by-step solution.

What do you want to calculate from?

Z Score

Convert a z score to a raw score.

Left-Tail Probability

Find x from P(X < x) or percentile.

Right-Tail Probability

Find x from P(X > x).

Mean, μ

Enter the mean of the normal distribution.

Standard Deviation, σ

Standard deviation must be greater than 0.

Z Score

Enter the z score you want to convert to a raw score.

Probability or Percentile

Use 90 for the 90th percentile if percent format is selected, or 0.90 if decimal format is selected.

Input Format

Percent, e.g. 90

Decimal, e.g. 0.90

About This Calculator

Prepared by Joseph Mburu · Updated on June 13, 2026

Joseph is an applied statistician and data analyst with over 6 years of experience helping students, researchers, and professionals solve statistics and data analysis problems. He holds a degree in Applied Statistics and a Master’s degree in Data…

We aim to keep our calculators accurate, easy to use, and helpful for learning. Always check that your inputs match the assumptions of the method you are using.