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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Discrete Random Variables: DRVs from a Bag

This exercise is designed to ensure that students know how to find the expected value, E(X), and the variance, Var(X) for a discrete random variable, and that the probabilities in a probability distribution always add to one. Students are given a selection of numbers and are challenged to establish those...

Discrete Random Variables: Double or Add?

In this activity students examine how rolling a dice and doubling the score produces a different probability distribution from rolling two dice and adding the scores on the two die. This activity can be conducted experimentally, with the simulation on sheet two of the spreadsheet producing many trials with...

Discrete Random Variables: the Four-Sided Dice

In this activity students are asked to investigate whether it is possible for a four-sided dice, with positive integer faces including odd numbers, to ever have expectation and variance the same. Sheet two carries a simulation with sheet three providing a search programme to find all possible solutions.

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Binomial Distribution: Most Likely Value

In this activity, students apply their knowledge of the binomial distribution to establish whether each of three rules, regarding the most likely outcome and the expected value, are true. The presentation contains a link to an applet which allows experimentation, and shows the binomial probabilities for various n...

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