Introductory Statistics is a non-calculus based, descriptive statistics course with applications. Topics include methods of collecting, organizing, and interpreting data; measures of central tendency, position, and variability for grouped and ungrouped data; frequency distributions and their graphical representations; introduction to probability theory, standard normal distribution, and areas under the curve. Course materials created by Fahmil Shah, content added to OER Commons by Victoria Vidal.

This is a three-credit course which covers topics that enhance the students’ problem solving abilities, knowledge of the basic principles of probability/statistics, and guides students to master critical thinking/logic skills, geometric principles, personal finance skills. This course requires that students apply their knowledge to real-world problems. A TI-84 or comparable calculator is required. The course has four main units: Thinking Algebraically, Thinking Logically and Geometrically, Thinking Statistically, and Making Connections. This course is paired with a course in MyOpenMath which contains the instructor materials (including answer keys) and online homework system with immediate feedback. All course materials are licensed by CC-BY-SA unless otherwise noted.

Topics List for this Lesson: Sampling, Frequency Distributions, and GraphsMeasures of CenterMeasures of VarianceNormal Distributions and Problem SolvingZ-Scores and Unusual ValuesEmpirical Rule and Central Limit TheoremScatterplots, Correlation, and Regression

The project is designed to help students explore probability and statistics concepts using a real-life data set.

This is an assignment given during Spring 2022 in a community college elementary statistics course. Students were asked to find their own data set (or given the option of selecting from several sets that were provided) and compute a correlation, construct a least squares regression line, and make a prediction using the data. Students are given the option of turning in the assignment as a short paper, slides presentation, or video. Students are also asked if they would be willing to share their assignment with the class and future classes to be used as examples. 

This is an assignment given during Spring 2022 in a community college elementary statistics course. Students were asked to find something within their own daily lives, relevant to them, and use counting techniques to enumerate that process. This includes things like washing dishes, selecting outfits, compute the number of meal combinations available at restaurants, and other actions. Students are given the option of turning in the assignment as a short paper, slides presentation, or video. Students are also asked if they would be willing to share their assignment with the class and future classes to be used as examples. 

This is a liquid syllabus template used during the Spring 2022 Academic Term. Specific school and professor information has been left out and the template can be customized as needed for each course. The course in question is a one semester introductory statistics course offered at the community college level. 

This is an assignment given during Spring 2022 in a community college elementary statistics course. Students conduct a search for a mathematician of interest to them according to guidelines set in the assignment. Students are given the option of uploading a paper, presentation, or video. Rubric included. Students are also asked if they would be willing to share their assignment with the class and future classes to be used as examples. 

Welcome to Statistics! In this statistics course, we learn about the ethical use and the basic practice of statistics. As we learn, we will also explore how statistics have been used unethically to create enduring and false myths about African Americans. We will also see how statistics can be used to illuminate injustice and offer clear information upon which we can act to become anti-racist agents in our communities.

Welcome to Statistics! In this statistics course, we learn about the ethical use and the basic practice of statistics. As we learn, we will also explore how statistics have been used unethically to create enduring and false myths about African Americans. We will also see how statistics can be used to illuminate injustice and offer clear information upon which we can act to become anti-racist agents in our communities.

Mathematics explained: Here you find videos on various math topics:

Pre-university Calculus (functions, equations, differentiation and integration)
Vector calculus (preparation for mechanics and dynamics courses)
Differential equations, Calculus
Functions of several variables, Calculus
Linear Algebra
Probability and Statistics

Distributions and Variability

Type of Unit: Project

Prior Knowledge

Students should be able to:

Represent and interpret data using a line plot.
Understand other visual representations of data.

Lesson Flow

Students begin the unit by discussing what constitutes a statistical question. In order to answer statistical questions, data must be gathered in a consistent and accurate manner and then analyzed using appropriate tools.

Students learn different tools for analyzing data, including:

Measures of center: mean (average), median, mode
Measures of spread: mean absolute deviation, lower and upper extremes, lower and upper quartile, interquartile range
Visual representations: line plot, box plot, histogram

These tools are compared and contrasted to better understand the benefits and limitations of each. Analyzing different data sets using these tools will develop an understanding for which ones are the most appropriate to interpret the given data.

To demonstrate their understanding of the concepts, students will work on a project for the duration of the unit. The project will involve identifying an appropriate statistical question, collecting data, analyzing data, and presenting the results. It will serve as the final assessment.

Getting Started

Type of Unit: Introduction

Prior Knowledge

Students should be able to:

Solve and write numerical equations for whole number addition, subtraction, multiplication, and division problems.
Use parentheses to evaluate numerical expressions.
Identify and use the properties of operations.

Lesson Flow

In this unit, students are introduced to the rituals and routines that build a successful classroom math community and they are introduced to the basic features of the digital course that they will use throughout the year.

An introductory card sort activity matches students with their partner for the week. Then over the course of the week, students learn about the lesson routines: Opening, Work Time, Ways of Thinking, Apply the Learning, Summary of the Math, and Reflection. Students learn how to present their work to the class, the importance of taking responsibility for their own learning, and how to effectively participate in the classroom math community.

Students then work on Gallery problems to further explore the program’s technology resources and tools and learn how to organize their work.

The mathematical work of the unit focuses on numerical expressions, including card sort activities in which students identify equivalent expressions and match an expression card to a word card that describes its meaning. Students use the properties of operations to identify equivalent expressions and to find unknown values in equations.

Every month we will give you a math/statistics brain teaser that lets you test your knowledge with a fun problem.Many of the ideas in these Teasers come from thoughts formed by some of the great mathematical/statistical geniuses in history.

This book is an exploration of the world of mathematics that many high school and college students have never encountered. Little algebra is necessary for the topics in this textbook: set theory, financial math, statistics, conversion, and geometry. These topics were chosen by their clear applications to everyday life and their thought-provoking exercises. This book will provide glimpses into ways of thinking mathematically while highlighting algorithmic, graphical, algebraic, statistical, and analytic approaches to solving problems.

Includes work from:
"Math in Society" by David Lippman is licensed under CC BY-SA 4.0
"Understanding Taxes: Teacher" by Internal Revenue Service is in the Public Domain
"Fundamentals of Mathematics" by Denny Burzynski and Wade Ellis, Jr. is licensed under CC BY 4.0

The goal of this task is twofold. For part (a) since we are not given how large each of the groups in the table are, the best we can do is to apply reasoning about ratios (in the form of percents) to give a range of possible answers. For part (b), the goal is to recognize a misuse of statistical reasoning.

This lesson unit is intended to help you assess how well students are able to: Calculate the mean, median, mode, and range from a frequency chart; and to use a frequency chart to describe a possible data set, given information on the mean, median, mode, and range.

Students experience data collection, analysis and inquiry in this LEGO® MINDSTORMS® NXT -based activity. They measure the position of an oscillating platform using a ultrasonic sensor and perform statistical analysis to determine the mean, mode, median, percent difference and percent error for the collected data.

Students learn about the statistical analysis of measurements and error propagation, reviewing concepts of precision, accuracy and error types. This is done through calculations related to the concept of density. Students work in teams to each measure the dimensions and mass of five identical cubes, compile the measurements into small data sets, calculate statistics including the mean and standard deviation of these measurements, and use the mean values of the measurements to calculate density of the cubes. Then they use this calculated density to determine the mass of a new object made of the same material. This is done by measuring the appropriate dimensions of the new object, calculating its volume, and then calculating its mass using the density value. Next, the mass of the new object is measured by each student group and the standard deviation of the measurements is calculated. Finally, students determine the accuracy of the calculated mass by comparing it to the measured mass, determining whether the difference in the measurements is more or less than the standard deviation.