Population And Sample Formulas
Population Parameters:
Mean: The population mean is defined by [Tex]\mu[/Tex]. And it’s formula is given by,
[Tex]\mu = \frac 1 N \Sigma X[/Tex] , N= Number of elements in population.
Standard Deviation: The population standard deviation is given by [Tex]\sigma[/Tex]. And it’s formula is given by:
[Tex]\sigma = \sqrt {\frac 1 N {\Sigma(X-\mu)^2}}[/Tex]
Sample Statistic:
Mean: The Sample mean is given by [Tex]\bar x[/Tex]. And its formula is given by,
[Tex]\bar x = \frac 1 n \Sigma x[/Tex]
Standard Deviation: The sample standard deviation is given by s. And it’s formula is given by,
[Tex]s= \sqrt {\frac 1 {n-1} {\Sigma(x-\bar x)^2}}[/Tex]
Population vs Sample in Statistic
In statistics, understanding the difference between a population and a sample is fundamental to many aspects of data analysis and inference.