How To Calculate Inverse Normal Distribution By Hand

Introduction & Importance

Inverse normal distribution, also known as the probit function, is crucial in statistics and data analysis. It helps us find the Z-score given a probability, which is essential for understanding and interpreting data.

How to Use This Calculator

1. Enter the Z-score, mean (μ), and standard deviation (σ) values.
2. Click ‘Calculate’.
3. View the result and chart below.

Formula & Methodology

The formula for inverse normal distribution is derived from the cumulative distribution function (CDF) of the normal distribution. It’s calculated using the inverse error function.

Real-World Examples

Data & Statistics

Comparison of Normal and Inverse Normal Distribution

Expert Tips

• Understand the difference between normal and inverse normal distribution.
• Use this tool to validate your calculations.
• Explore the chart to visualize the distribution.

Interactive FAQ

What is the difference between normal and inverse normal distribution?

Normal distribution is a probability distribution that describes how data is distributed. Inverse normal distribution, on the other hand, is a function that gives the Z-score for a given probability.

Learn more about normal distribution

Understand inverse normal distribution