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Math
Z-Score and Percentiles
Standardization and P(Z ≤ z)
Runs locally in your browser
Parameters
Results
- Z
- 1.5
- P(Z ≤ z)
- 93.32%
- Above x
- 6.68%
How it works
Standardize a value to a z-score and find P(Z ≤ z) under the normal distribution.
Who it's for: Statistics students and analysts comparing values across different scales.
Z = (x − μ) / σ standardizes x relative to mean μ and standard deviation σ.
P(Z ≤ z) gives the cumulative probability below the value.
Assumes a normal distribution.
How to use
- Enter x (the observed value), mean μ, and standard deviation σ.
- Read z for the standardized score and P(Z ≤ z) for the cumulative probability.