Students often find the fact that a sample statistic is a random variable very hard to grasp. Even more mysterious is why a sample mean should become ever more Normal as the sample size increases. This simulation tool is meant to illustrate the process, thereby giving students some intuitive grasp of the relationship between a parent population…

This article describes how a spreadsheet-based tool can be used to provide personalized statistics homework exercises for each student in a class.

This article advocates the use of simple data sets to help students gain a good intuitive grasp of ANOVA concepts.

In this article, we present a somewhat surprising result connected with random permutations.

A basic understanding of statistical ideas, and especially the idea of statistical modelling involving exposure to statistical data analysis, is as fundamental to an understanding of modern society and its artefacts as is language literacy. Thus, statistics should become a central feature of the mathematics curriculum. This implies, among other…

This article evaluates and explores the correlation (+0.892) between the United States federal election winner and the most recent Washington Redskin home-game winner, a relation perfectly linked for 17 of 18 elections since franchise inception in 1936.

We focus on the problem of ignoring statistical independence. A binomial experiment is used to determine whether judges could match, based on looks alone, dogs to their owners. The experimental design introduces dependencies such that the probability of a given judge correctly matching a dog and an owner changes from trial to trial. We show how…

Neater representations for variance are given for small sample sizes, especially for 3 and 4. With these representations, variance can be calculated without a calculator if sample sizes are small and observations are integers, and an upper bound for the standard deviation is immediate. Accessible proofs of lower and upper bounds are presented for…

This article illustrates that not all statistical software packages are correctly calculating a "p"-value for the classical "F" test comparison of two independent Normal variances. This is illustrated with a simple example, and the reasons why are discussed. Eight different software packages are considered.

Mathematics lecturers have long expressed concern about their students poor mathematical background and the effect this has on performance in first mathematics courses at university level. This article explores a similar concern about students' numeracy in a statistics course for psychologists.

The statistical thinking exhibited by 14-19 year-old students during clinical interview sessions is described. The students' thinking with regard to fundamental statistics concepts is reported in order to help inform instructional practice.

For the casino game Keno we determine optimal playing strategies. To decide such optimal strategies, both exact (hypergeometric) and approximate probability calculations are used. The approximate calculations are obtained via the Central Limit Theorem and simulation, and an important lesson about the application of the Central Limit Theorem is…

This article presents two different approaches to studying the accuracy and precision of a measurement.

Reasoning with data is already pervasive in society, and its importance as a life skill is increasing. We argue that the current statistics curriculum in the United Kingdom at the secondary level does not prepare our young people adequately, and suggest ways in which it could be improved.

This article explores the relationships between several pairs of statistics kept on professional golfers on the PGA tour. Specifically, two measures related to the player's ability to drive the ball are compared as are two measures related to the player's ability to putt. An additional analysis is made between one statistic related to putting and…