Z-Score Examples

Statistics · Axiom Academy

Learn how to calculate z-scores and interpret standardized values Excellent work! You've completed this z-score example. Here's what we learned: Z-Score Formula: The z-score formula z = (x - μ) / σ standardizes values by measuring how many standard deviations a value is from the mean. Interpretation: A positive z-score means the value is above the mean, while a negative z-score means it's below the mean. The magnitude tells us how unusual the value is. Standard Normal Distribution: Z-scores allow us to use the standard normal table to find probabilities, converting any normal distribution to one with mean 0 and standard deviation 1. Practical Application: Z-scores help compare values from different distributions and determine how typical or unusual a particular observation is. Practice with different values and use z-tables to build confidence in finding probabilities and interpreting standardized scores!

This is the written version of the interactive lesson above. See the full Statistics course.