Khan Academy: Statistics: Bernoulli Distribution Mean and Variance Formulas

Explanation of the difference between population and sample mean. Includes notation and reasons for using sample mean to infer information about a population. [10:02]

Video reviews the central limit theorem and uses a simulation to illustrate sampling distributions and how they approach a normal distribution with larger sample sizes even if the original distribution was not normal. Also discusses the...

Video discusses the effect of sample size on the sampling distribution. Shows using a simulation how as sample size increases the sampling distribution becomes more normal and the standard deviation decreases. Also discusses the effect...

Video continuing an example of a binomial distribution for the amount of heads in five flips of a coin by drawing the graph and including discussion on how the distribution relates to a normal bell curve. Also includes explanation of why...

Video demonstration of finding the binomial distribution for an example about shooting six free throw shots by calculating the probabilities of each number of shots that were made. Video is also listed in the Probability section of Khan...

Video example of what a Bernoulli distribution is. Demonstrates how the general formulas for the mean and variance of the distribution are derived.

Video reviews the population and sample mean and variance then expands to population and sample standard deviation. Gives examples of calculating the standard deviation. [13:07]

Video discusses the importance of the normal distribution and gives its formula with examples of how it is used. Connects to the central limit theorem. Manipulates the normal distribution formula to show different forms of it. Uses Excel...

Video discusses the importance of the normal distribution. The formula for the normal distribution is given and explained. A url is given where an excel spreadsheet can be downloaded which is shown and used to compare the binomial...

Video example of using a sample distribution to solve a problem determining the probability that a sample mean is below a certain number. Includes example of finding a z-score and looking it up in a table to determine the probability....