Understanding Z-Scores

The z-score transformation is a fundamental concept in statistics that allows us to standardize any normal distribution. By converting values to z-scores, we can:

• Compare values from different normal distributions
• Calculate probabilities using the standard normal table
• Identify outliers and unusual observations
• Standardize data for analysis

Use the interactive explorer below to see how changing the mean (μ) and standard deviation (σ) affects the distribution, and how any value x can be transformed to its corresponding z-score.