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# Non-symbolic math

• ### ** Sampling from a Real Estate Database

This material is a detailed exercise for students in introductory statistics. Students are asked to collect a random sample of data from a real estate website; conduct descriptive statistics (including confidence intervals); and write a report summarizing their dataset. The primary learning goals are to teach students 1) how to obtain a random sample; 2) how to interpret confidence intervals; 3) how to simulate and interpret a sampling distribution; and 4) how to communicate descriptive statistics.
• ### Against all Odds: 1. What is Statistics?

This free online video program uses historical anecdotes and contemporary applications to introduce the series which "explores the vital links between statistics and our everyday world. The program also covers the evolution of the discipline."
• ### Against All Odds: 2. Picturing Distributions

With this free online video program, "students will see how key characteristics in the distribution of a histogram - shape, center, and spread - help professionals make decisions in such diverse fields as meteorology, television programming, health care, and air traffic control. Through a discussion of the advantages of back-to-back stem plots, this program also emphasizes the importance of seeking explanations for gaps and outliers in small data sets." This individual video is accessed by scrolling down to the "Individual Program Descriptions - 2. Picturing Distributions" and click the "VOD" icon at the top-right of the description.
• ### Against All Odds: 4. Normal Distributions

In this free online video program, "students will advance from histograms through smooth curves to normal curves, and finally to a single normal curve for standardized measurement, as this program shows ways to describe the shape of a distribution using progressively simpler methods. In a lesson on creating a density curve, students also learn why, under steadily decreasing deviation, today's baseball players are less likely to achieve a .400 batting average." This individual video is accessed by scrolling down to the "Individual Program Descriptions - 4. Normal Distributions" and click the "VOD" icon at the top-right of the description.
• ### Against All Odds: 8. Normal Calculations

In this free online video program, "students will discover how to convert the standard normal and use the standard deviation; how to use a table of areas to compute relative frequencies; how to find any percentile; and how a computer creates a normal quartile plot to determine whether a distribution is normal. Vehicle emissions standards and medical studies of cholesterol provide real-life examples."

• ### Against All Odds: 12. Correlation

In this free online video program, "students will learn to derive and interpret the correlation coefficient using the relationship between a baseball player's salary and his home run statistics." The students will then "discover how to use the square of the correlation coefficient to measure the strength and direction of a relationship between two variables. A study comparing identical twins raised together and apart illustrates the concept of correlation."
• ### Video: Against All Odds: 15. Designing Experiments

In this free online video program, students will learn that "statistics can be used to evaluate anecdotal evidence. This program distinguishes between observational studies and experiments and reviews basic principles of design including comparison, randomization, and replication. Case material from the Physician's Health Study on heart disease demonstrates the advantages of a double-blind experiment."
• ### Analysis Tool(s): StatPages.net

This webpage provides an extensive list of links to free statistical calculators and statistical software packages. Descriptions are provided for some of the resources.

• ### StatVillage

StatVillage is a hypothetical village in Canada. Homes in StatVillage are laid out in a system of blocks on a rectangular grid with 8 homes per block. In the middle of each group of 8 homes is a playing area. Houses are addressed using a block and unit-within-block system. Services (e.g. food stores, shops) are located on the periphery of the village and are not shown on the map. Households can be selected for a survey by using a clickable map.
• ### Case Studies in Statistics

This site lists a set of case studies that cover regression topics, random number calculations of pi, as well as limit theorems. On the individual case study pages are the descriptions and/or instructions.