AP Stats Z-Score Proportion Calculator
AP Statistics is a crucial course for students aiming to study statistics, mathematics, or related fields in college. Calculating Z-scores and proportions is a fundamental part of this course. This calculator helps you understand and practice these calculations.
- Enter the value of X, the mean, and the standard deviation.
- Click ‘Calculate’.
- View your results below the calculator.
The formula for calculating the Z-score is: Z = (X – μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. The proportion is calculated as P(Z < z) = Φ(z), where Φ is the cumulative distribution function of the standard normal distribution.
| X | Mean | Standard Deviation | Z-Score |
|---|---|---|---|
| … | … | … | … |
| Z-Score | Proportion |
|---|---|
| … | … |
- Always use the correct values for the mean and standard deviation.
- Understand the context of your calculation to interpret the results correctly.
What is a Z-score?
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Census Bureau – Data on Z-scores
Statistics How To – Z-score explanation