In this paper, we investigate an interesting question that came up when reading a problem in a school textbook: What happens to the variance of a dataset in the case of changing one single data point, and why? Some of the answers are not surprising but here we find the full answer and demonstrate the understanding of it suitable for school…

Checking the normality assumption is necessary to decide whether a parametric or non-parametric test needs to be used. Different ways are suggested in literature to use for checking normality. Skewness and kurtosis values are one of them. However, there is no consensus which values indicated a normal distribution. Therefore, the effects of…

The question is whether or not we or any student are allowed to define a measure of variability in some other way that is not written in textbooks and officially approved. We compare the sum of squares of all deviations against the usual sum of squares of deviations from the mean.

The proficient handling of data can undoubtedly be regarded as a key skill for the future. However, the need for data competencies is not limited to traditional professions in the information technology environment but is rather necessary across industries and work fields. Consequently, there is a call to integrate such Data Literacy and Data…

We develop a spreadsheet-based game to illustrate fundamental statistical concepts in the first class of an undergraduate Statistics course to motivate students about the topics that they will learn in upcoming classes. This game has been implemented by Google Forms and Google Sheets and can be played in both online and in-person classes of small…

Informal statistical reasoning, a fundamental aspect of statistical reasoning, involves students' logical processing of random data to extract meaningful insights. Enhancing this skill is crucial for helping students interpret and address statistical problems within their cultural and contextual frameworks. Activity-centered learning, particularly…

The ability to properly evaluate one's own academic progress has long been considered a predictor of academic success. However, its distinctive role in the context of computational mathematics remains underexplored. Grounded in social cognitive theory, this study investigates the critical role of self-regulated learning (SRL) strategies in…

Algebra has been identified as a gatekeeper to careers in STEM, but little research exists on how algebra appears for practitioners in the workplace. Surveys and interviews were conducted with 77 STEM practitioners from a variety of fields, examining how they reported using algebraic functions in their work. Survey and interview reports suggest…

More college students from diverse backgrounds and disciplines are enrolling in introductory statistics courses. In these courses, active learning, collaborative projects, and relatable content can help to support student learning, belonging, and engagement. In this study, we examined the effect of student-perceived peer, faculty, and classroom…

Critical thinking is a skill that people must develop to navigate skillfully the information they receive through media channels. The cultivation of this skill must begin in the early stages of education and continue uninterrupted through the completion of academic training. For this reason, the search for tools to promote critical thinking in the…

One of the most important factors affecting the use of evidence for policy or practice is the uncertainty of study results. Furthermore, this uncertainty is compounded by our increasing awareness of heterogeneous treatment effects. Here we inform debate about the strength of study evidence by quantifying the conditions necessary to nullify an…

Current developments in the statistics community suggest that modern statistics education should be structured holistically, that is, by allowing students to work with real data and to answer concrete statistical questions, but also by educating them about alternative frameworks, such as Bayesian inference. In this article, we describe how we…

Pearson's product-moment correlation can be explained by means of the probability of concordant pairs of observations on two continuous variables (ie, the order of the observations from two randomly selected individuals is the same between the two variables). The probability of concordant pairs features relatively easy computation and offers an…

Meta-analysis is a statistical method that combines quantitative findings from previous studies. It has been increasingly used to obtain more credible results in a wide range of scientific fields. Combining the results of relevant studies allows researchers to leverage study similarities while modeling potential sources of between-study…

At present, even if the education on hard-working spirit has been emphasized increasingly as an important part of practical education in China's education policy, the reality is still far from satisfactory, because many parents do not provide their children with sufficient opportunities to do housework. Previous studies have indicated that the…