English language Spanish language  Portuguese language 
You are here : > Home> Utilities > Mathematics & Statistics > Standard Deviation >



Standard Deviation


Standard deviation is a measure of variability around the average of a set of data. It is, also, a measure of dispersion around an average value.
When we use the full information, usually desirable, we calculate the standard deviation of all elements, calling Population Standard Deviation. However, when the amount of information is considered high and, according to the goal of statistical survey, it is possible to consider one part of the total of the elements, called sample and to calculate the standard deviation, referred to as Sample Standard Deviation.
The sample, as subsets of a universe, called population, is collected and statically calculated, allowing inferences or extrapolations of a given population.
Example: to estimate the amount of leukocytes in the blood of a living being, measure the quantities in a sample and estimate the total.
The formulas for the calculations in both cases are different.
The greater standard deviation, corresponds to the high dispersion of data. On the contrary, a low concentration.
To calculate the Standard Deviation, enter the data requested. Use the point as decimal separator. Ex 1,300.34 enter: 1300.34; the results will be shown after a click on Calculate.


Standard Deviation
Decimal places: 
Select:
Elements:
     
Total elements:         
Standard Deviation:  

Note: This calculator is for educational purposes. The accuracy and applicability to particular cases is not guaranteed.






Related topics

Percent of a number  Percent of a total  Accumulated total by a percentage  Percentage of two numbers  Arithmetic mean  Geometric mean  Harmonic mean  Quadratic mean  Weighted mean  Weighted geometric mean  Weighted harmonic mean  Standard Deviation  Correlation Coefficient  Simple Linear Regression  Quadratic equation  Cubic equation solver  Nth root solver  Nth Power of a number  Logarithm & antilogarithm solver  Trigonometric Functions  Inverse Trigonometric Functions  Proportional division  Determinant matix 3 by 3  Linear equations in two variables  Linear equations in three variables  Rule of three - Direct proportion  Rule of three - Indirect proportion  Compound Rule of three  Restaurant - checking the bill