The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and…

Considers a problem of simple random walks to study distributions of variances. Describes watching a drunk over a period of nights, taking a number of steps per night. Explores the full probability distribution for the variance of the data string and discusses the connection of the results to the problem of data binning. (Author/NB)

Sophisticated simulations using computer graphics can lead to students deducing virtually all conditions of the Central Limit Theorem. Eight graphs illustrate the discussion. (MNS)

This simple method for simulating the Central Limit Theorem with students in a beginning nonmajor statistics class requires students to use dice to simulate drawing samples from a discrete uniform distribution. On a chalkboard, the distribution of sample means is superimposed on a graph of the discrete uniform distribution to provide visual…

Describes a hands-on demonstration of the concept of the sampling distribution of the mean using M&M's candy. Compares the effectiveness of the candy demonstration with that of a comparable demonstration using a textbook example. Reports that students exposed to the candy example performed better on a subsequent examination. (DSK)

Uses the random-number generator and list features on the TI-83 graphing calculator to generate lists of sample means to help illustrate the concepts discussed in introductory statistics courses. (ASK)

Analyses for stress patterns of the first 1,000 nouns and 500 verbs from a high-frequency Russian vocabulary list. The most irregular patterns are seen in the most frequently occurring items and, therefore, should be learned early in the study of Russian. (Author/LMO)

Proposes an error gravity/distribution factor to give a mathematically consistent evaluation method to error analysis. Such an approach assumes that "seriousness" of error is related to frequency of output and not to notions of degree of communicative difficulty. Distribution of error type is also taken into account. (PJM)

Presents ways of using different software for visualizing sampling distributions from a variety of background distributions. Random numbers are used to produce samples of given size and the mean of each is calculated. The mean and standard deviation of these means are calculated, a grouped frequency table is produced, and a histogram is generated.…

Discusses the use of the Excel computer program to develop and distribute simple models that provide a clear visual representation of a chosen probability distribution's properties to students. (ASK)

This teaching supplement from the U.S. Census Bureau is designed for educators in grades 5 through 12. The Bureau offers it as a way of addressing the needs and concerns of teachers as they attempt to include statistical information about the everyday world in an effort to meet new educational standards. The supplement is presented in order to…

The use of error pattern analysis can reduce the time and money spent on editing and correcting manuscripts. What is required is noting, classifying, and keeping a frequency count of errors. First an editor should take a typical page of writing and circle each error. After the editor has done a sufficiently large number of pages to identify an…

Reviews the use of chi-square statistics for goodness of fit. Examines how to help students relate their earlier work with independence to the use of chi-square statistics. (KHR)

An educational technique to calculate the lifetime of a comet using software-generated random numbers is introduced to undergraduate physiques and astronomy students. Discussed are the generation and eligibility of the required random numbers, background literature related to the problem, and the solution to the problem using random numbers.…

Presents noncalculus approximation techniques for two normal distribution problems. These methods may be useful projects for lower-level undergraduate statistics and computer science students. (PK)