Deriving the Mean and Variance of the Sample Mean @jbstatistics
Deriving the Mean and Variance of the Sample Mean  @jbstatistics
Uploaded November 2013 | Updated September 2026, 2 hours ago
I derive the mean and variance of the sampling distribution of the sample mean. I have another video where I discuss the sampling distribution of the sample mean and work through some example probability calculations. It's called "The Sampling Distribution of the Sample Mean", and it's available at: youtu.be/q50GpTdFYyI.
Deriving the Mean and Variance of the Sample MeanThe Law of Total ProbabilityConfidence Intervals for One Mean:  Determining the Required Sample SizeInference for Two Means:  IntroductionSimple Linear Regression:  Inference on the Slope (The Formulas)  (Old, fast version)The Binomial Distribution: Mathematically Deriving the Mean and VarianceProof that if events A and B are independent, so are Ac and B (and A and Bc)Discrete Probability Distributions: The Poisson Distribution (STAT I – Full Lecture)The Poisson Distribution:  Introduction (fast version)Finding Percentiles Using the Standard Normal Table (for tables that give the area to left of z)The Sample Variance: Why Divide by n-1?Hypothesis Tests on One Mean:  A t Test Example
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Deriving the Mean and Variance of the Sample Mean

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