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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Sampling and Hypothesis Testing: Significance Levels

This activity is designed to deepen understanding of hypothesis testing. Students are presented with a coin which is suspected of being biased. A hypothesis test is set up. A results table is shown giving the significance of the result at different levels of significance for different outcomes. Students are...

Contingency Tables and the Chi-Squared Distribution: Test Table

During the statistics course, students will meet a range of different methods of hypothesis testing, all slightly different. The aim of this matching exercise is for students to create a table giving a variety of examples of situations in which a test may take place, the type of test which should be used in each...

Contingency Tables and the Chi-Squared Distribution: Defining the Chi-squared Distribution

In this activity students explore a spreadsheet which generates a chi-squared distribution with a specific degree of freedom. Students explore the differences in the distribution generated as the degree of freedom varies between 1 and 8. Students are required to find the mean and variance of a distribution with v...

Contingency Tables and the Chi-Squared Distribution: Chi-squared and Percentages

This activity is designed to enable students to appreciate that the chi-squared test can only be carried out using frequencies. This spreadsheet offers students the chance to play with percentages and other kinds of data to develop the understanding that the chi-squared test cannot be used with this data.

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