What is Standard Deviation in Statistics?
In Statistics, the 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. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same unit as the data. The Standard Deviation of a random variable, sample, statistical population, data set, or probability distribution is defined and calculated as the square root of its variance.
How to Calculate Standard Deviation of Sum of Independent Random Variables?
Standard Deviation of Sum of Independent Random Variables calculator uses Standard Deviation of Sum of Random Variables = sqrt((Standard Deviation of Random Variable X^2)+(Standard Deviation of Random Variable Y^2)) to calculate the Standard Deviation of Sum of Random Variables, Standard Deviation of Sum of Independent Random Variables formula is defined as the measure of variability of the sum of two or more independent random variables. Standard Deviation of Sum of Random Variables is denoted by σ(X+Y) symbol.
How to calculate Standard Deviation of Sum of Independent Random Variables using this online calculator? To use this online calculator for Standard Deviation of Sum of Independent Random Variables, enter Standard Deviation of Random Variable X (σX(Random)) & Standard Deviation of Random Variable Y (σY(Random)) and hit the calculate button. Here is how the Standard Deviation of Sum of Independent Random Variables calculation can be explained with given input values -> 5 = sqrt((3^2)+(4^2)).