Z-Value Calculator
Calculate and visualize Z-values with normal distribution
Standard Normal Distribution (Bell Curve)
This graph shows where your Z-score falls on the standard normal distribution curve
How this Z-Value Calculator Works?
The Z-Value Calculator follows these steps:
- Enter your raw score (X), population mean (μ), and standard deviation (σ)
- The calculator uses the formula: Z = (X - μ) / σ
- Results are displayed with a visual representation on the normal distribution curve
- Interpretation of the Z-value is provided automatically
Why Use this Z-Value Calculator?
Instant Calculations
Get immediate results without manual calculations or complex formulas.
Visual Understanding
See exactly where your score falls on the normal distribution curve.
Clear Interpretation
Understand what your Z-value means with plain-language explanations.
Frequently Asked Questions
What is a Z-value?
A Z-value indicates how many standard deviations away from the mean a data point is. It helps you understand where a specific value falls within a normal distribution.
When should I use Z-values?
Z-values are useful for comparing scores from different distributions, standardizing data, identifying outliers, and understanding relative positions in a dataset.
How do I interpret Z-values?
A Z-value of 0 means the value equals the mean. Positive Z-values indicate values above the mean, while negative values indicate values below the mean. About 68% of scores fall between -1 and +1.