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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Probability: Balls in a Box

The presentation presents a box containing m white balls and n black balls. Students are asked to explore the probability that if two balls are chosen consecutively, without replacement, the two balls are the same colour. A spreadsheet simulating the situation is provided to enable students to experiment. The...

Probability: the Colin and Phil Problem

In this activity Colin and Phil take it in turns to roll a dice. The winner is the first to throw a six. Students are asked to investigate conditional probability to find the probability of each player winning and hence determine whether the game is fair. The presentation provides a complete solution before...

Probability: the Independent School

In this activity students are presented with a variety of information regarding the number of students who study mathematics and/or physics. Students are asked to use this information to complete a Venn diagram. A complete solution to the problem is explained before a series of related challenges are posed...

Probability: the Two Dominoes

Students are challenges to estimate the probability that if two dominoes are picked, at random, from a standard pack of dominoes that at least one number on each domino will match. The simulation on sheet one is then used to generate experimental results to predict whether their estimation is supported. Sheet two...

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