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  • Statistics and Probability
The Modern Family:Changes in Structure and Living Arrangements in the United States
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Students will learn why families are important social institutions and how family structures, household sizes, and living arrangements have changed substantially since the 1970s. In part 1, students will work in groups of three to four to analyze census data so that they may understand these changes. In part 2, students will watch a clip from the show “Modern Family” and compare their observations with census data.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
The Monty Hall Problem or How to Outsmart a Game Show and Win a Car
Unrestricted Use
CC BY
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This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life. The video portion is about fifteen minutes, and the whole lesson, including activities, should be completed in about forty-five minutes. Some of the activities call for students to work in pairs, but a larger group is also okay, especially for the discussion centered activities. The required materials for this lesson are envelopes, small prizes, and some things similar in size and shape to the prize.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Provider:
MIT
Provider Set:
MIT Blossoms
Author:
Sam Shames, Cameron Tabatabaie, Ben Kaloupek
Date Added:
04/07/2020
The Monty Hall Problem or How to Outsmart a Game Show and Win a Car
Unrestricted Use
CC BY
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This lesson teaches students how to make decisions in the face of uncertainty by using decision trees. It is aimed for high school kids with a minimal background in probability; the students only need to know how to calculate the probability of two uncorrelated events both occurring (ie flipping 2 heads in a row). Over the course of this lesson, students will learn about the role of uncertainty in decision making, how to make and use a decision tree, how to use limiting cases to develop an intuition, and how this applies to everyday life. The video portion is about fifteen minutes, and the whole lesson, including activities, should be completed in about forty-five minutes. Some of the activities call for students to work in pairs, but a larger group is also okay, especially for the discussion centered activities. The required materials for this lesson are envelopes, small prizes, and some things similar in size and shape to the prize.

Subject:
Mathematics
Statistics and Probability
Material Type:
Lecture
Provider:
M.I.T.
Provider Set:
M.I.T. Blossoms
Author:
Sam Shames, Cameron Tabatabaie, Ben Kaloupek
Date Added:
02/15/2018
Mouse Experiment
Conditional Remix & Share Permitted
CC BY-NC-SA
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This Flash based applet simulates data from a case study of treatments for tumor growth in mice. This simulation allows the user to place mice into a control and treatment groups.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Consortium for the Advancement of Undergraduate Statistics Education
Provider Set:
Causeweb.org
Author:
Dennis Pearl
Tom Santner
Date Added:
01/22/2020
Music and Sports
Unrestricted Use
CC BY
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In this group task students collect data and analyze from the class to answer the question "is there an association between whether a student plays a sport and whether he or she plays a musical instrument? "

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/09/2012
My Dream Home
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Students will analyze and interpret American Community Survey (ACS) data on housing characteristics in the United States, comparing these data with those they collect from their classmates. Students also will determine what their dream home would look like and will use flat, two-dimensional shapes to construct it.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Narratives and Names
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This activity serves as an introduction to a narrative writing assignment. To provide context for this activity, teachers will give students an overview of the Census Bureau. Then, students will complete a Quickwrite about their name and its history. After that, students will examine and answer questions about census data on popular last names, listen to a story about names, and complete a Quickwrite about that story. To further prepare for their narrative writing assignment about names (which is not part of this activity), students will jot down their thoughts in a graphic organizer.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Native American Dwellings
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In this activity, students will look at historical images to learn about three types of Native American dwellings — teepees, pueblo adobe structures, and hogans. Students will make observations about the types of dwellings in the images. Then students will discuss their observations as a class.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Natural Resources Biometrics
Conditional Remix & Share Permitted
CC BY-NC
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Natural Resources Biometrics begins with a review of descriptive statistics, estimation, and hypothesis testing. The following chapters cover one- and two-way analysis of variance (ANOVA), including multiple comparison methods and interaction assessment, with a strong emphasis on application and interpretation. Simple and multiple linear regressions in a natural resource setting are covered in the next chapters, focusing on correlation, model fitting, residual analysis, and confidence and prediction intervals. The final chapters cover growth and yield models, volume and biomass equations, site index curves, competition indices, importance values, and measures of species diversity, association, and community similarity.

Subject:
Mathematics
Statistics and Probability
Material Type:
Textbook
Provider:
State University of New York
Provider Set:
OpenSUNY Textbooks
Author:
Diane Kiernan
Date Added:
01/16/2014
The New Normal
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Students will explore distributions of various census data sets to determine whether it can be reasonably assumed that those data follow a normal distribution, based on students’ analysis of either a histogram or a normal probability plot for each data set. They will then discuss their findings with a partner who analyzed the other type of graph for each data set.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Normal Distribution
Conditional Remix & Share Permitted
CC BY-NC-SA
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The applets in this section allow users to see how probabilities and quantiles are determined from a Normal distribution. For calculating probabilities, set the mean, variance, and limits; for calculating quantiles, set the mean, variance, and probability.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Consortium for the Advancement of Undergraduate Statistics Education
Provider Set:
Causeweb.org
Author:
C. Anderson-Cook, S. Dorai-Raj, T. Robinson, Virginia Tech Department of Statistics
Date Added:
01/22/2020
Numbers That Tell a Story
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Using State Facts for Students, a data access tool from the U.S. Census Bureau, students will explore data about their state and voice their opinions on how the population has changed over time. Students will work in small groups to share their opinions, practicing oral communication and small-group discussion skills.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Numerical Computation for Mechanical Engineers, Fall 2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis. Assignments require MATLAB programming.

Subject:
Applied Science
Calculus
Engineering
Information Science
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Anthony Patera
Daniel Frey
Nicholas Hadjiconstantinou
Date Added:
01/01/2012
Offensive Linemen
Unrestricted Use
CC BY
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In this task, students are able to conjecture about the differences and similarities in the two groups from a strictly visual perspective and then support their comparisons with appropriate measures of center and variability. This will reinforce that much can be gleaned simply from visual comparison of appropriate graphs, particularly those of similar scale.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
02/24/2013
Over the Hill - Aging on a Normal Curve
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Students will use census data from a sample of 136 U.S. counties and other sample data to make estimates about the U.S. population that is 65 or older in all other counties and about other variables, using normal distribution models.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
Parameters vs. Statistics
Conditional Remix & Share Permitted
CC BY-NC-SA
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LEARNING OBJECTIVE: Identify and distinguish between a parameter and a statistic.

LEARNING OBJECTIVE: Explain the concepts of sampling variability and sampling distribution.

Subject:
Mathematics
Statistics and Probability
Material Type:
Module
Provider:
Carnegie Mellon University
Provider Set:
Open Learning Initiative
Date Added:
01/22/2020
Pattern Recognition and Analysis, Fall 2006
Conditional Remix & Share Permitted
CC BY-NC-SA
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Fundamentals of characterizing and recognizing patterns and features of interest in numerical data. Basic tools and theory for signal understanding problems with applications to user modeling, affect recognition, speech recognition and understanding, computer vision, physiological analysis, and more. Decision theory, statistical classification, maximum likelihood and Bayesian estimation, non-parametric methods, unsupervised learning and clustering. Additional topics on machine and human learning from active research.

Subject:
Mathematics
Statistics and Probability
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Picard, Rosalind
Date Added:
01/01/2006
Perceptions of a Place: Los Angeles, California
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This activity will help students understand that people’s perceptions of the world—places, regions, and environments—are constantly changing with new experiences and information. Students will examine Census Bureau data about Los Angeles, and about the rest of California and the United States, to challenge or confirm these perceptions.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019
The Place of My State
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Students will use a U.S. Census Bureau data tool called State Facts for Students to analyze the population data of their state. They will write the data in several forms, round the numbers, and then compare their state’s population with that of a nearby state.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
U.S. Census Bureau
Provider Set:
Statistics in Schools
Date Added:
11/15/2019