Variance and Standard Deviation Calculator
Calculate the variance and standard deviation of a data set.
Result
13,4907
Standard deviation: 13,4907
Result in all units
Step-by-step solution
σ = √(Σ(x−x̄)² / n)
What Is Standard Deviation?
Standard deviation is a measure of how much the data is spread out from the mean. A low value means the data points are close together, while a high value means they are scattered.
How is it calculated?
How Is It Calculated?
σ = √(Σ(x − mean)² ÷ N)
- Enter the data and the mean is found.
- The square of each value's difference from the mean is taken, then averaged and the square root is found.
Frequently Asked Questions
What is the difference between population and sample deviation?
In a population it is divided by N; in a sample it is divided by (N−1) to correct the estimate.