Calculate z-score and standard normal probabilities from raw score, mean, and standard deviation.
Enter the raw score, population mean, and standard deviation.
Enter x, mean, and standard deviation to see z-score, probabilities, and steps.
Standard normal distribution estimates based on the calculated z-score.
This calculator uses the standard formula Z = (x - mean) / standard deviation to measure how far a raw score is from the population mean in standard deviation units.
It also estimates standard normal probabilities for values below, above, and between the raw score and mean. These values are useful for quick statistics checks and learning support.
The calculation runs directly in your browser without any external automation dependency.
Calculate z-score and standard normal probabilities from raw score, mean, and standard deviation.
This mathematics calculators page is designed for quick checks, planning, and everyday decision support without forcing users through a heavy workflow.
Enter the required values in the calculator above, review any optional settings, and run the calculation.
For important decisions, compare the output with your own records and professional guidance where needed.
Z-score = (x - mean) / standard deviation.
Example: if x = 85, mean = 70, and standard deviation = 10, the z-score is 1.5.
Visible answers for users before they rely on a calculator result.
Yes. The Z-score Calculator is free to use in your browser.
No. Treat calculator output as an estimate and verify important finance, medical, tax, legal, or compliance decisions with a qualified professional.
Yes. The page is built to work on mobile, tablet, and desktop screens.