This Making Statistics Vital collection consists of forty independent activities covering the topics of exploring data, data presentation, measures of centre and spread, probability, discrete random variables, binomial distribution, the Poisson distribution, the normal distribution, sampling and hypothesis testing using the normal distribution, contingency tables and the Chi-Squared distribution, bivariate data, regression and correlation and Markov chains. Students have practical opportunities to explore and develop further their knowledge and understanding of statistical measures and their application.

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Bivariate Data, Regression and Correlation: Ten-Point PMCC

In this activity, students are challenged to produce a scatter diagram consisting of ten points that give a product moment correlation coefficient of exactly 0.99. Students are expected to appreciate that the points will lie almost exactly on a straight line with at least one point being slightly out. The answer...

Bivariate Data, Regression and Correlation: Residuals

In this activity the goal is for students to understand how the regression line is chosen. Autograph has a built-in facility for showing the squares of the residuals and is required to make this task work. Students are asked to explore what the lines that give the sum of the y-on-x residuals equal to zero have in...

Markov Chains

A Markov chain is a mathematical system that undergoes transitions from one state to another, between a finite number of states.

This resource comprises a spreadsheet which allows students to enter values into the transition matrix and the initial state matrix of 2x2 and 3x3 matrices then perform a number of...

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