Illustrative Mathematics
Illustrative Mathematics: Hss md.a.2
Three activities asking students to calculate the expected value of a random variable and interpret it as the mean of the probability distribution. Tasks include Bob's Bagel Shop, Fred's Fun Factory, and Sounds Really Good! (sort of).
CK-12 Foundation
Ck 12: Probability: Binomial Distributions and Probability
[Free Registration/Login may be required to access all resource tools.] Discusses probability distributions followed by an examination of binomial distributions. Includes detailed examples, instructional videos, and review questions.
CK-12 Foundation
Ck 12: Statistics: Standard Deviation of a Normal Distribution
[Free Registration/Login may be required to access all resource tools.] Learn about the spread of a normal distribution.
CK-12 Foundation
Ck 12: Statistics: Density Curve of the Normal Distribution
[Free Registration/Login may be required to access all resource tools.] This Concept expands upon the previous by discussing further the normal distribution and the probabilities associated with it by looking at the normal density curve.
CK-12 Foundation
Ck 12: Statistics: Geometric Distributions
[Free Registration/Login may be required to access all resource tools.] Covers geometric distributions. You'll become familiar with this type of probability distribution, make connections with a binomial probability distribution, and...
CK-12 Foundation
Ck 12: Statistics: Central Limit Theorem
[Free Registration/Login may be required to access all resource tools.] Introduces students to the Central Limit Theorem. Students will learn about the Central Limit Theorem and calculate a sampling distribution using the mean and...
CK-12 Foundation
Ck 12: Probability: Geometric Probability Distributions
[Free Registration/Login may be required to access all resource tools.] This concept introduces students to the geometric probability distribution.
CK-12 Foundation
Ck 12: Probability: Multinomial Distributions
[Free Registration/Login may be required to access all resource tools.] Covers probability distributions where there are more than two outcomes for an experiment.
Mathigon
Mathigon: Probability and Discrete Math: Predicting the Future
This lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.
CK-12 Foundation
Ck 12: Probability: Empirical Rule
[Free Registration/Login may be required to access all resource tools.] Use percentages associated with normal distributions to solve problems.
CK-12 Foundation
Ck 12: Mean and Standard Deviation of Discrete Random Variables
[Free Registration/Login may be required to access all resource tools.] This Concept teaches students how to find the mean and standard deviation for discrete random variables.
Palomar Community College District
Palomar College: Behavioral Science Statistics: Variance and Standard Deviation
A series of step-by-step worked problems demonstrating how to take a set of data and produce the variance and standard. Hints are provided along the way and the final measures are shown for the user to check.
CK-12 Foundation
Ck 12: Using Probability to Make Decisions
Use this Common Core Math Standards Browser to search specific math concepts and their corresponding standards. This page focuses on Using Probability to Make Decisions. Click on the links to find lessons, activities, videos, and study...
Other
Schaum's Outlines: Probability and Statistics
This comprehensive study guide contains 897 fully solved probability and statistics problems with explanations. Topic covered includes basic probability, sampling theory, regression, and more.
Shodor Education Foundation
Shodor Interactivate: Normal Distribution
Change the standard deviation of an automatically generated normal distribution to create a new histogram. Observe how well the histogram fits the curve, and how areas under the curve correspond to the number of trials.
Khan Academy
Khan Academy: Basic Normal Calculations
Many measurements fit a special distribution called the normal distribution.
CK-12 Foundation
Ck 12: Algebra Ii: 6.3 Z Scores
See how Z-scores are related to the Empirical Rule from the standpoint of being a method of evaluating how extreme a particular value is in a given set.
CK-12 Foundation
Ck 12: Algebra Ii: 5.4 Standard Deviation
Explore what the standard deviation is as it relates to the graph of a normal distribution curve.
CK-12 Foundation
Ck 12: Algebra Ii: 5.3 Normal Distribution
This section explores normal distribution curves that have a unique, bell-like shape and represent data that is "normally" distributed. It also addresses how many real-life situations can be modeled by normal distribution curves.
Khan Academy
Khan Academy: Normal Distributions Review
Normal distributions come up time and time again in statistics. A normal distribution has some interesting properties: it has a bell shape, the mean and median are equal, and 68% of the data falls within 1 standard deviation.
Hofstra University
Hofstra University: Review Exercises Random Variables..
Interactive review problems are offered to practice the concepts of random variables and statistics. Topics covered include, Bernoulli trials, normal and binomial distributions, Chebyshev's rule, and the like.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math; Introduction to Probability
A good introduction to concepts in probability, this page also gives a great definition of sample space. Scroll down halfway to find sample space.
Shodor Education Foundation
Shodor Interactivate: Stats and Probability Concepts
Many topics on Statistics and Probability are defined and linked here. Click on any of them to move to a more detailed discussion of the term.
University of Glasgow
Steps Statistics Glossary: Expected Value
Site defines statistical expected value as the population mean and discusses it's usefulness as a summary value of a variable's distribution. The formula for calculating expected value is provided, as is an example.