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The online variance and standard deviation calculator calculates the sample standard deviation, sample variance, population standard deviation and population variance of the input values.
- Input Number : Enter the numeric values to be calculated, separated by commas. Supports entering integers or floating-point numbers, such as 2,-100.5,10333. Numeric values represented by scientific notation are not supported.
- Number Count : The number of numerical values involved in the calculation.
- Arithmetic Mean : Usually abbreviated as mean, it is the most basic and commonly used average indicator in statistics. The calculation formula is : .
- Sample Variance : A sample is a subset of individuals observed or investigated, and the whole is the entire object of study. Sample variance is often used to estimate the population variance. The calculation formula is : . Note: The above formula is a calculation method for estimating the population variance with sample variance, if you simply observe the degree of data dispersion within the sample (that is, the sample is the population), use the population variance result of this tool.
- Sample Standard Deviation : The sample standard deviation is the square root of the sample variance. The calculation formula is : . Note: The above formula is a calculation method for estimating the population standard deviation with the standard deviation of the sample, if you simply observe the degree of data dispersion within the sample (that is, the sample is the population), you can use the population standard deviation result of this tool.
- Population Variance : Population variance is a measure of how spread out a group of data points is. Population variance is calculated as the degree of dispersion of all individuals. The calculation formula is : .
- Population Standard Deviation : The population standard deviation is the square root of the population variance. The calculation formula is : .