Calculate the standard deviation and variance of a data set.
Enter your data set and select whether you want to calculate for a Population or a Sample....
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Standard Deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.
Understanding Variance and SD is crucial for scientific research, quality control, and financial analysis. This tool calculates both population and sample standard deviation accurately.
Input your data points separated by commas or spaces.
Choose 'Population' if your data represents the entire group, or 'Sample' if it represents a subset of a larger group (this affects the N-1 divisor).
Click 'Generate Result' to see the Standard Deviation, Variance, and the calculated Arithmetic Mean.
Use 'Population' if you have data for every member of the group you are studying. Use 'Sample' if you are using a smaller group to estimate characteristics of a larger population.
Variance is the square of the Standard Deviation. It provides another way to measure how far numbers are spread out from their average value.
Sample SD uses 'Bessel's correction' (dividing by N-1 instead of N) to provide an unbiased estimate of the population variance from a smaller sample.
Reliable calculations using industry-standard formulas.
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