Z-Scores allow you to compare scores from different distributions (e.g., comparing SAT and ACT scores).

What is a 'good' Z-Score?

In a normal distribution, 95% of data falls between Z = -2 and Z = +2. Scores beyond ±3 are considered outliers.

Z-Score / Normalization Calculator | AllScienceTools

Enter the Raw Score (x) you want to standardize.
Enter the Population Mean (μ).
Enter the Standard Deviation (σ).
The calculator computes the Z-Score. Positive values are above the mean, negative below.

Standardization Formula

z = x - μσ

How 'normal' is a data point? The Z-Score Calculator tells you exactly how many standard deviations a value is from the mean, allowing you to compare apples to oranges.

Is a 85% on a hard test better than a 90% on an easy one? A Z-Score answers this by standardizing the scores based on the class average and spread.

Calculates Z-Score from Raw Score

Finds Probability (P-value) from Z-Table

Visualizes position on the Bell Curve

Crucial for AP Statistics

The Standard Normal Distribution (Bell Curve) has a mean of 0 and SD of 1. Z-scores map any dataset onto this universal curve.

Enter the Raw Score (x) you want to standardize.
Enter the Population Mean (μ).
Enter the Standard Deviation (σ).
The calculator computes the Z-Score. Positive values are above the mean, negative below.

Standardization Formula

z = x - μσ

How 'normal' is a data point? The Z-Score Calculator tells you exactly how many standard deviations a value is from the mean, allowing you to compare apples to oranges.

Is a 85% on a hard test better than a 90% on an easy one? A Z-Score answers this by standardizing the scores based on the class average and spread.

Calculates Z-Score from Raw Score

Finds Probability (P-value) from Z-Table

Visualizes position on the Bell Curve

Crucial for AP Statistics

The Standard Normal Distribution (Bell Curve) has a mean of 0 and SD of 1. Z-scores map any dataset onto this universal curve.

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Z-Score Calculator

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