Good quality data is paramount for applied economic research. If the data are distorted, corresponding conclusions may be incorrect. We demonstrate how Benford's law, the distribution that first digits of numbers in certain data sets should follow, can be used to test for data abnormalities. We conduct an analysis of nine commonly used data sets…

This paper is the fourth in a series of national statistical reports on young people aged 12-24 years produced by the Australian Institute of Health and Welfare (AIHW). This report provides the latest available information on how Australia's young people are faring according to national indicators of health and wellbeing. Many young Australians…

Many researchers and students assume that the univariate distribution has a single, ubiquitous "bell" shape, perhaps because most books only portray the "standard normal" or normal z-score distribution. This paper shows that the normal curve can have infinitely many appearances. It illustrates that the width to height ratio can…

The mean and variance of some continuous distributions, in particular the exponentially decreasing probability distribution and the normal distribution, are considered. Since they involve integration by parts, many students do not feel comfortable. In this note, a technique is demonstrated for deriving mean and variance through differential…

Privatization of support services has been a method that Michigan school districts have used for several years to lower costs. More than ever before, Michigan school districts are privatizing the three main support services they offer--food, custodial and transportation. The annual survey finds that 48.8 percent of Michigan school districts are…

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…

Measuring the incidence of public spending in education requires an intergenerational framework distinguishing between what current and future generations--that is, parents and children--give and receive. In standard distributional incidence analysis, households are assumed to receive a benefit equal to what is spent on their children enrolled in…

Many univariate statistical methods, such as the analysis of variance, t-test, and regression, assume that the dependent variable data have a univariate normal distribution (Hinkle, Weirsma, and Jurs, 1998). Various other statistical methods assume that the error scores are normally distributed (Thompson, 1992). Violating this assumption can be…

This article describes a simple classroom activity that helps students immediately visualize and understand the meaning and mathematical properties of the Poisson distribution.

This article shows how the use of factorial moments provides a simple, consistent yet elegant approach to finding the mean and variance of standard discrete probability distributions.

This paper initiates an investigation of the college students' MI (multiple intelligences) distribution in English class. The participants are a group of Chinese sophomores from different majors: city planning, tourism, software engineering, financial administration and arts of English. With a view to make the investigation more specified in…

The focus of research in technology education has evolved throughout its history as the field changed from industrial arts to technology education (Spencer & Rogers, 2006). With the move to technology education, the field has begun to broaden its focus to better understand the teaching, learning, curriculum, and policy implications of preparing…

Emphasis on problem solving in mathematics has gained considerable attention in recent years. While statistics teaching has always been problem driven, the same cannot be said for the teaching of probability where discrete examples involving coins and playing cards are often the norm. This article describes an application of simple probability…

"The Condition of Education 2018" is a congressionally mandated annual report summarizing the latest data on education in the United States. This report is designed to help policymakers and the public monitor educational progress. This report contains indicators on the state of education in the United States, from prekindergarten through…

Seventy-nine studies in geoscience conceptions appeared in peer-reviewed publications in English from 1982 through July 2009. Summaries of the 79 studies suggest certain recurring themes across subject areas: issues with terms, scale (temporal and spatial), role of prior experience, and incorrect application of everyday knowledge to geoscience…