Standard Deviation Calculator vs Standard Error Calculator
Two calculators for the same neighbourhood of questions. Here is what each measures, what you feed in, and where you'd reach for one over the other.
Standard Deviation Calculator
Compute the sample standard deviation directly from three summary statistics — sample size n, the sum of values Σx, and the sum of squared values Σx². This is the spread metric used in virtually every empirical study, quality-control chart, and risk model.
- Answers
- Standard Deviation
- Inputs
- Sample Size, Sum of Values, Sum of Squares
Standard Error Calculator
Compute the standard error of the mean (SEM) from the sample standard deviation and sample size, SEM = s/√n. Quantifies how precisely a sample mean estimates the underlying population mean — the foundation of confidence intervals, t-tests, and any inferential statistic.
- Answers
- Standard Error
- Inputs
- Standard Deviation, Sample Size
At a glance
| Standard Deviation Calculator | Standard Error Calculator | |
|---|---|---|
| Category | Statistics | Statistics |
| Answers | Standard Deviation | Standard Error |
| Inputs | 3 | 2 |
| Result unit | — | — |
When to use each
Compute the sample standard deviation directly from three summary statistics — sample size n, the sum of values Σx, and the sum of squared values Σx². This is the spread metric used in virtually every empirical study, quality-control chart, and risk model.
Compute the standard error of the mean (SEM) from the sample standard deviation and sample size, SEM = s/√n. Quantifies how precisely a sample mean estimates the underlying population mean — the foundation of confidence intervals, t-tests, and any inferential statistic.