How to use this calculator
Measure sample dispersion around the mean. Enter values (comma or space separated). The result updates when you change an input. To compare two sets of inputs, save scenario A, then enter the second set; the result panel shows the difference.
Formula and limits
Sample standard deviation = √[Σ(x−mean)²/(n−1)]. Requires at least two values. Uses the sample, not population, denominator.
Worked example
The following example uses the calculator’s starting values. It is an illustration of the method, not a recommended target.
| Input | Example value |
|---|---|
| Values (comma or space separated) | 2, 4, 4, 4, 5, 5, 7, 9 |
Sample standard deviation: 2.138
Mean: 5
Interpreting your result
Check whether your values represent a sample or an entire population. The sample-variance tools use n−1 in the denominator. Descriptive summaries cannot establish causation or validate how a sample was collected.
Comparing alternatives
Save the first result as scenario A, then change one input. The comparison shows the numeric difference; it does not label either result as better. Choose inputs that describe realistic alternatives. Values shown on screen are rounded, so calculations from rounded intermediate results may differ slightly.
Background reading
OpenStax Introductory Statistics. This is a subject reference, not an endorsement or independent review of Calcaven.