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 Pooled Standard Deviation?
Pooled Standard Deviation calculator uses Pooled Standard Deviation = sqrt((((Size of Sample X-1)*(Standard Deviation of Sample X^2))+((Size of Sample Y-1)*(Standard Deviation of Sample Y^2)))/(Size of Sample X+Size of Sample Y-2)) to calculate the Pooled Standard Deviation, Pooled Standard Deviation formula is defined as the standard deviation calculated from a combined or pooled dataset, often used in the analysis of groups with similar characteristics. Pooled Standard Deviation is denoted by σPooled symbol.
How to calculate Pooled Standard Deviation using this online calculator? To use this online calculator for Pooled Standard Deviation, enter Size of Sample X (NX), Standard Deviation of Sample X (σX), Size of Sample Y (NY) & Standard Deviation of Sample Y (σY) and hit the calculate button. Here is how the Pooled Standard Deviation calculation can be explained with given input values -> 25.63689 = sqrt((((8-1)*(29^2))+((6-1)*(42^2)))/(8+6-2)).