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4 Tutorials that teach Center and Variation of a Sampling Distribution
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Center and Variation of a Sampling Distribution

Center and Variation of a Sampling Distribution

Author: Ryan Backman
Description:

This lesson will explain how to find the mean and standard deviation of a sampling distribution of the sample means.

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Tutorial

Notes on "Center and Variation of a Sampling Distribution"

Overview

(0:00-0:59) Introduction to Context

(1:00-1:42) Discussion of Sampling Distributions

(1:43-2:29) Discussion of Mean and Standard Deviation of the Sampling Distribution of Sample Means

(2:30-3:03) Formulas for the Mean and Standard Deviation of the Sampling Distribution of Sample Means

(3:04-5:17) Example of Sampling Distribution Mean and Standard Deviation Calculations

(5:18-6:10) Discussion of Population Distribution vs. Sampling Distribution

Terms to Know
Mean of a Distribution of sample means

The average of all possible means from all possible samples of a given size. It will be equal to the mean of the original population.

Standard Deviation of a Distribution of sample means

The standard deviation of all possible means from all possible samples of a given size. It will be equal to the standard deviation of the original population, divided by the square root of the sample size.

Formulas to Know
Mean of a Distribution of sample means

mu subscript x with bar on top end subscript space equals space mu subscript o r i g i n a l end subscript

Standard Deviation of a Distribution of sample means

sigma subscript x with bar on top end subscript space equals space fraction numerator sigma over denominator square root of n end fraction