Standard Deviation Calculator

Video Information
When entering data, press comma , space or Enter after each value.
Leaving empty cells is okay. The tool doesn't count empty cells or non-numeric cells.
You may use more than one variable.
tresults


Information

Target: Calculate average, standard deviation, the sample size for several variables. Present histogram chart and average range chart

As you may see in the Sum of squared chart,The outliers may influence dramatically the standard deviation result! as you may see in the sum of squares chart. It is not recommended to exclude outliers unless you know the reason for the outliers.

Statistics

n - Number of values
Mean- The average
S- Sample Standard Deviation, if the list of values you entered is only a sample from the entire population, this is the best estimation for the Population Standard Deviation
S2- Sample variance, if the list of values you entered is only a sample from the entire population, this is the best estimation for the Population Variance
σ- Population Standard Deviation, if the list of values you entered is the entire population, this is the exact Standard deviation
σ2- Population Variance, if the list of values you entered is the entire population, this is the exact Variance

standard deviation and sample standard deviation formulas

R Code

The following R code should produce the same results except for the skewness. The 'PerformanceAnalytics' package uses a different methods for skewness calculations.