Introduction to Statistics and Data Analysis - Random Sampling in Statistics: Expected Value and Variance of the Sample Mean

Here we compute the expected value and variance of the sample mean. This will help us understand properties about the larger population, and how it relates to smaller random sampling. This is useful, for example in political polling, drug trials, A/B testing of website designs (and YouTube thumbnails!), and much more! This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 03:04 Proof: Simple Sample is an Unbiased Estimate 09:33 Variance Over Independent Samples 13:49 Preview: Variance of Samples from Finite Population 15:46 Outro