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Home > AP Courses and Exams > Course Home Pages > Sampling Distributions

Sampling Distributions

Exploring Data: Normal Distribution
The Exploring Data Web site contains an activity that illustrates the connection between the normal distribution and the 1.5*IQR outlier rule.
  Exploring Data: Normal Distribution

The STAR Library
The STAR Library contains an activity, "Rectangularity," for investigating sampling distributions and the central limit theorem. (Follow the link that says, "Click here to view a list of all activities published in the STAR Library.")
  The STAR Library

Sampling Distributions
This applet from the Rice Virtual Lab in Statistics lets you choose a parent population (normal, uniform, skewed, or custom) and shows the resulting sampling distribution for varying sample sizes.
  Sampling Distributions

VESTAC: Java Applications for the Visualization of Statistical Concepts
VESTAC contains an applet for the distribution of the sampling mean from either a continuous or discrete population in which the user can specify the parameters. Start with the Basics link and then choose Distribution of Mean, clicking on either the continuous or discrete graph.
  VESTAC: Java Applications for the Visualization of Statistical Concepts

Binomial Distribution
This java applet from Stanford University's Department of Statistics shows the binomial distribution for a user-specified number of trials and probability of success.
  Binomial Distribution

Central Limit Theorem Applet
R. Webster West's site simulates rolling dice (you can choose one to five dice) repeatedly and records the sum of the dice. As the number of dice increases, the sampling distribution gets more normal.
  Central Limit Theorem Applet

Binomial Distributions
This applet from Tarýk Kara's Introduction to Probability and Statistics II site shows the binomial distribution for a user specified number of trials and probability of success.
  Binomial Distributions

Seeing Statistics: Probabilities for the Normal Distribution
This site contains a java applet called "Probabilities for the Normal Distribution" that allows the user to directly experience the connection between the shaded area under any normal distribution and the probability. Another valuable applet called "Working with z-scores and Normal Probabilities" allows the user to make a connection between z-scores, raw scores, and probability for any normal distribution.
  Seeing Statistics: Probabilities for the Normal Distribution
  Working with z-scores and Normal Probabilities

U of T Day Statistics Applets
Dave Krider has designed a very clever and interesting applet that has balls fall through a field of blocks. The balls collect at the bottom of the screen, as it turns out, in a normal distribution. This applet is a creative way of looking at a normal distribution despite its lack of usefulness.
  U of T Day Statistics Applets

AP Statistics Activities
Paul Myers' "How Long Does it Take to Build a Cootie?" activity explores geometric distributions.
  AP Statistics Activities

AP Statistics at BB&N School
Al Coons' site contains a worksheet entitled "Understanding the Geometric Distribution" to explore the geometric distribution.
  AP Statistics at BB&N School

Density Curves & Normal Distributions
Daren Starnes' site contains two worksheets for exploring density curves and the normal distribution, "The Vending Machine Problem" and "The Overbooking Problem."
  Density Curves & Normal Distributions







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