Tag: Sample mean variance

Sample Mean Variance

Ref: https://onlinecourses.science.psu.edu/stat414/node/167 Let X1, X2, ... , Xn  be a random sample of size n from a distribution (population) with mean μ and variance σ2. What is the variance of X¯? Var(X¯) named sample mean variance. Solution. Starting with the definition of the sample mean, we have: Var(X¯)=Var(X1+X2+⋯+Xnn)Var(X¯)=Var(X1+X2+⋯+Xnn) Rewriting the term on the right so that it is clear that we have a linear combination of … Continue reading Sample Mean Variance