What you provide
What you provide
- One observation and the corresponding reference mean
- A positive population standard deviation from the same data context
STATISTICS / STANDARDIZED DISTANCE
Z-Score Calculator
Standardize one observation against a supplied mean and population standard deviation, then inspect its signed distance and plain-language position.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
The signed difference between the observation and mean is divided by the positive standard deviation. The result reports direction and distance in standard-deviation units without assuming the source distribution is normal.
Calculation path
Z-score = (observation - mean) / standard deviation.
What you receive
What you receive
- Signed z-score and raw deviation
- Absolute distance in standard deviations
- A bounded position summary without an automatic significance claim
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
A z-score does not prove normality, identify an outlier by itself, or convert directly to probability unless the distribution model supports that interpretation.
Use consistent units and preserve more precision than the displayed result when carrying an answer into another calculation.
Reviewed reference factors