Standard Deviation (Population)
Formula:σ = √(Σ(xi - μ)² / N)
Introduction to Standard Deviation Calculator
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 (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range. This formula represents the population standard deviation, which includes all members of a set.
Parameter usage:
...numbers
= an array of numerical values
Output:
standard_deviation
= the standard deviation of the input numbers
Data validation
All inputs must be numerical values. If non-numerical values are entered or no values are provided, an error message will be displayed.
Practical Application
Standard deviation is commonly used in finance, weather forecasting, and sports analytics to assess the variability of data.
Tags: Statistics, Standard Deviation, Variability, Population