ClarityHow to use this tool
- Enter observed value, mean, standard deviation.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| Observed value | Numeric value. | 0 |
| Mean | Numeric value. | 0 |
| Standard deviation | Numeric value. Must be greater than zero. | 1 |
Result for these sample inputs
0.39894228
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Density = exp[−(x − μ)²/(2σ²)]/(σ√(2π)).
Using observed value = 0, mean = 0, standard deviation = 1, the result is 0.39894228. Change these example inputs to match your task; use the method above to check each step.
What to keep in mind
Density is not the probability of a single exact value and may exceed 1. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.
Methodology maintained by ClarityKit. How these tools are built and checked.