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Jyotirmoy Sarkar; Mamunur Rashid – Teaching Statistics: An International Journal for Teachers, 2024
A single discrete random variable is depicted by a stick diagram, a 2D picture. Naturally, to visualize a bivariate discrete distribution, one can use a bivariate stick diagram, a 3D picture. Unfortunately, many students have difficulty understanding and processing 3D pictures. Therefore, we construct an alternative 2D disc plot to depict the…
Descriptors: Visualization, Statistical Distributions, Concept Formation, Mathematics
McAlevey, Lynn G.; Stent, Alan F. – International Journal of Mathematical Education in Science and Technology, 2018
The treatment of kurtosis in textbooks is both sparse and contradictory with applications rarely discussed. To address this, an easily understood definition of kurtosis is introduced and important applications are demonstrated. Two different approaches to teaching kurtosis are presented based on a financial application.
Descriptors: Statistical Distributions, Undergraduate Students, Probability, Statistical Data
Sarkar, Jyotirmoy; Rashid, Mamunur – Teaching Statistics: An International Journal for Teachers, 2016
The sample mean is sometimes depicted as a fulcrum placed under the Dot plot. We provide an alternative geometric visualization of the sample mean using the empirical cumulative distribution function or the cumulative histogram data.
Descriptors: Geometric Concepts, Geometry, Numbers, Statistical Distributions
Kim, Seonghoon – Journal of Educational Measurement, 2013
With known item response theory (IRT) item parameters, Lord and Wingersky provided a recursive algorithm for computing the conditional frequency distribution of number-correct test scores, given proficiency. This article presents a generalized algorithm for computing the conditional distribution of summed test scores involving real-number item…
Descriptors: Item Response Theory, Scores, Computation, Mathematics
Moraveji, Behjat; Jafarian, Koorosh – International Journal of Education and Literacy Studies, 2014
The aim of this paper is to provide an introduction of new imputation algorithms for estimating missing values from official statistics in larger data sets of data pre-processing, or outliers. The goal is to propose a new algorithm called IRMI (iterative robust model-based imputation). This algorithm is able to deal with all challenges like…
Descriptors: Mathematics, Computation, Robustness (Statistics), Regression (Statistics)
Stoessiger, Rex – Australian Senior Mathematics Journal, 2013
A critical numeracy examination of Benford's Law suggests that our understanding of the integers is faulty. We think of them as equally likely to turn up as the first digit of a random real world number. For many real world data sets this is not true. In many cases, ranging from eBay auction prices to six digit numbers in Google to the…
Descriptors: Numbers, Numeracy, Mathematics, Mathematics Instruction
Eisenhauer, Joseph G. – Teaching Statistics: An International Journal for Teachers, 2011
This note shows how some density functions for continuous probability distributions can be constructed in a transparent manner to help students appreciate their development.
Descriptors: Geometric Concepts, Probability, Statistical Distributions, Mathematical Concepts
Laumakis, Paul – Mathematics Teacher, 2011
When taking mathematics courses, students will sometimes ask their recurring question, "When will I ever use this in real life?" Educators are often unable to provide a direct connection between what they are teaching in the classroom and a real-life application. However, when such an opportunity does arise, they should seize it and…
Descriptors: Regression (Statistics), Mathematics Instruction, Mathematics, Mathematics Curriculum
Jernigan, Robert W. – Journal of Statistics Education, 2008
This article shows a concrete and easy recognizable view of a cumulative distribution function(cdf). Photograph views of the search tabs on dictionaries are used to increase students' understanding and facility with the concept of a cumulative distribution function. Projects for student investigations are also given. This motivation and view helps…
Descriptors: Statistical Distributions, Mathematics, Visual Aids, Photography
Wagner, Clifford H. – Teaching Statistics: An International Journal for Teachers, 2007
Standard distributions are ubiquitous but not unique. With suitable scaling, the graph of a standard distribution serves as the graph for every distribution in the family. The standard exponential can easily be taught in elementary statistics courses.
Descriptors: Statistical Distributions, Higher Education, Elementary Secondary Education, Mathematics Instruction

Schilling, Mark F. – College Mathematics Journal, 1990
Developed are simple recursion formulas for generating the exact distribution of the longest run of heads, both for a fair coin and for a biased coin. Discusses the applications of runs-related phenomena such as molecular biology, Markov chains, geometric variables, and random variables. (YP)
Descriptors: College Mathematics, Computer Simulation, Higher Education, Mathematical Applications

Brown, Richard; Davis, Gretchen – Mathematics Teacher, 1990
Presents an activity considering whether a difference exists in the age of Oscar winners. Describes how to draw a stem plot and a box plot as an example of implementing the recommendations of the NCTM Standards. Provides tables showing the name, movie titles, and ages of the Oscar winners since 1928. (YP)
Descriptors: Data Analysis, Data Interpretation, Graphs, Mathematics

Fleet, Tony – Mathematics in School, 1989
Considers definitions of quantiles. Describes median and quartiles. Compares the usefulness of 3 different definitions of quartile using a computer program to simulate 500 quantiles on a sample of a fixed size. Five references are listed. (YP)
Descriptors: College Mathematics, Computer Simulation, Computer Software, Definitions

Davis, Gretchen – Mathematics Teacher, 1990
Describes classroom activities and shows that statistics is a practical tool for solving real problems. Presents a histogram, a stem plot, and a box plot to compare data involving class enrollments. (YP)
Descriptors: Data Analysis, Data Interpretation, Graphs, Mathematics

Scheaffer, Richard L. – Mathematics Teacher, 1990
Outlines differences between classical statistics and exploratory data analysis. Provides examples in the use of the exploratory techniques. (YP)
Descriptors: Data Analysis, Evaluation Methods, Graphs, Mathematical Models
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