Z-Score Calculator

Convert between raw scores, Z-scores, and percentiles.

Calculation Mode

The value you want to convert
Average of the distribution
Spread of the distribution

Normal Distribution

0+2σ-2σZ = 0
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Z-Score

0

z = (85 - 75) / 10

Z-Score

0

Standard deviations from μ

Percentile

0%

% below this value

Raw Value

0

x = μ + zσ

Interpretation

This value is 0 standard deviations above the mean. Only 0% of values are lower than this.

Documentation

Understanding Z-Scores

A Z-score standardizes values from any normal distribution to the standard normal distribution (mean=0, SD=1), allowing comparison across different scales.

Z-Score

Raw from Z

Percentile

Frequently Asked Questions
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