About This Calculator
This calculator computes the standard deviation for a given set of numbers. It supports both sample and population standard deviation. In addition to the result, it also shows the mean, variance, and total count for educational purposes.
How It Works
- Select the calculation mode: Sample or Population.
- Enter your data set, using commas, spaces, or line breaks as separators.
- Click "Calculate" to see the standard deviation along with mean, variance, and count.
Sample Standard Deviation=√Σ(x − x̄)²n − 1
Population Standard Deviation=√Σ(x − μ)²n
Frequently Asked Questions
What is the difference between sample and population standard deviation?
Sample standard deviation divides by (n − 1) and is used when the data is a subset of a larger population. Population standard deviation divides by n and applies when all relevant data is included.
How many values do I need to enter?
Sample mode requires at least two numbers. Population mode can calculate with just one, but more data gives better insight.
Can I enter negative or decimal numbers?
Yes, the calculator supports any real number, including negatives and decimals.