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  • Probability and Statistics
Galton Board Experiment
Unrestricted Use
CC BY
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This resource consists of a Java applet and descriptive text. The applet illustrates Bernoulli trials in terms of a Galton Board. The number of trials and the probability of success can be varied. The random variables of interest are the number of successes and the probability of a success. The applet illustrates the binomial distribution, the law of large numbers and the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Galton Board Game
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Gamma Estimate Experiment
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet simulates a random sample from a gamma distribution, and computes standard point estimates of the shape and scale parameters. The bias and mean square error are also computed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Gamma Experiment
Unrestricted Use
CC BY
Rating
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This resource consists of a Java applet and expository text. The applet simulates the time of the k'th arrival in a Poisson process. The arrival number k and the rate of the Poisson process can be varied. The applet illustrates the gamma distribution and a special case of the central limit theorem.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/01/2006
The Graphing Gallery
Conditional Remix & Share Permitted
CC BY-NC
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Analyzing data displayed in graphsMathematics Instructional Plans (MIPs) help teachers align instruction with the Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Subject:
Mathematics
Probability and Statistics
Material Type:
Lesson Plan
Author:
Pam Forbes
Tina Mazzacane
Debra Delozier
Kristin Williams
Date Added:
05/07/2020
High-Low Card Scenario Task
Conditional Remix & Share Permitted
CC BY-NC
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In this performance task, students consider two scenarios in a card game and conduct an experiment to analyze and compare experimental to theoretical probabilities with different game rules. In doing so, students will calculate probabilities to explore the effect of independent vs. dependent events on the outcomes in the card game.

Key concepts include:
a) conditional probability;
b) dependent and independent events;
c) mutually exclusive events;
d) counting techniques (permutations and combinations); and
e) Law of Large Numbers.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Date Added:
01/08/2020
How Many Ways?
Conditional Remix & Share Permitted
CC BY-NC
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Constructing sample spaces and determining the probability of outcomes Mathematics Instructional Plans (MIPs) help teachers align instruction with the Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Subject:
Mathematics
Probability and Statistics
Material Type:
Lesson Plan
Author:
Doris Robinson
Tina Mazzacane
Debra Delozier
Date Added:
05/11/2020
Interactive Histogram
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The class width can be varied and various summary statistics can be displayed.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
02/20/2006
Interactive Histogram with Error Graph
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The graph of an error function is shown, either mean square error or mean absolute error.

Subject:
Mathematics
Probability and Statistics
Material Type:
Interactive
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Interactive Scatterplot
Unrestricted Use
CC BY
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This resource consists of a Java applet and expository text. The applet allows the user to construct a scatterplot by clicking on a graph to generate the bivariate data. The means, standard deviations, correlation, and the regression line are shown.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
Introduction to Statistics
Unrestricted Use
CC BY
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This course covers descriptive statistics, the foundation of statistics, probability and random distributions, and the relationships between various characteristics of data. Upon successful completion of the course, the student will be able to: Define the meaning of descriptive statistics and statistical inference; Distinguish between a population and a sample; Explain the purpose of measures of location, variability, and skewness; Calculate probabilities; Explain the difference between how probabilities are computed for discrete and continuous random variables; Recognize and understand discrete probability distribution functions, in general; Identify confidence intervals for means and proportions; Explain how the central limit theorem applies in inference; Calculate and interpret confidence intervals for one population average and one population proportion; Differentiate between Type I and Type II errors; Conduct and interpret hypothesis tests; Compute regression equations for data; Use regression equations to make predictions; Conduct and interpret ANOVA (Analysis of Variance). (Mathematics 121; See also: Biology 104, Computer Science 106, Economics 104, Psychology 201)

Subject:
Mathematics
Probability and Statistics
Material Type:
Assessment
Full Course
Homework/Assignment
Lecture
Syllabus
Textbook
Provider:
The Saylor Foundation
Date Added:
06/11/2019
MLB Strikeouts & z-Scores Task_AFDA.7
Unrestricted Use
CC BY
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Students research online data from players from MLB teams in a position of their choice and then use z-scores to compare players within a team of their choice. Students explain how the General Manager of a baseball team could implement this data towards improving the team.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Date Added:
01/02/2020
Matching Experiment
Unrestricted Use
CC BY
Rating
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This resource consists of a Java applet and expository text. The applet is a simulation of the matching experiment, which consists of a random permutation of the first n positive integers. The random variable of interest is the number of matches (the number of integers in the random permutation that are in their correct positions). The applet illustrates the distribution of the number of matches and the convergence to the Poisson distribution.

Subject:
Mathematics
Probability and Statistics
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Date Added:
05/04/2022
May I Have Fries with That?
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

Constructing and using circle graphs Mathematics Instructional Plans (MIPs) help teachers align instruction with the Mathematics Standards of Learning (SOL) by providing examples of how the knowledge, skills and processes found in the SOL and curriculum framework can be presented to students in the classroom.

Subject:
Mathematics
Probability and Statistics
Material Type:
Lesson Plan
Author:
Doris Robinson
Tina Mazzacane
Kristin Williams
Date Added:
05/19/2020
Mean, Median, Mode, and Range Podcast Episode (Mic Drop Maths)
Conditional Remix & Share Permitted
CC BY-NC
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Mic Drop Maths is a mathematics podcast for 5th graders based on the VA Standards of Learning. Each episode addresses one standard and is broken into segments including concept, real-world application, math history, literature connections, misconceptions, and more! There is music, sound effects, jokes, and student voice in each engaging and entertaining episode. 

Subject:
Mathematics
Probability and Statistics
Material Type:
Interactive
Author:
Lindsey Paulson
Whitney Wells-Corfield
Date Added:
06/01/2020