Calculate the standard deviation and variance of a data set (sample or population), mean, and median.
The standard deviation calculator computes the standard deviation, variance, mean, and median of a data set. The standard deviation indicates how much the values vary around the mean.
The calculator is free, works in your browser without registration, and displays the result as soon as you change the values. The calculations are done on your device, and the information you enter is not sent anywhere.
Mean = Σx / n. Variance = Σ(x − mean)² / (n − 1) for a sample or / n for a population. Standard deviation = √variance.
For the numbers 12, 15, 11, 18, 14, 16, and 13, the mean is 14.14 and the sample standard deviation is approximately 2.41. With default settings, the calculator gives the result: Standard Deviation 2.4103.
Statistics students, researchers, and anyone who wants to know how dispersed the measurement results are.
Use a sample (n − 1) if the data is part of a larger group. Use a population (n) when you have the entire group.
A small standard deviation means that the values are close to the mean. A large one indicates a large variation.
Variance is the square of the standard deviation. It measures variation but is expressed in the square of the original unit.