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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The Normal Distribution: Adding Two Normal Distributions

In this activity students use the spreadsheet to simulate the generation of two normal distributions, each with different means and standard deviations. The spreadsheet models what happens when the two distributions are added together in order to explore whether the result is also normally distributed.

This...

Sampling and Hypothesis Testing using the Normal Distribution: Sampling

In this activity, students are given 100 natural numbers, all with value less than one hundred, and are asked to estimate the mean of the population by taking a number of samples, finding the mean of each sample and then finding the mean of the sample means.

This resource is part of the Making Stats Vital...

Sampling and Hypothesis Testing using the Normal Distribution: Generating Random Numbers

In this activity students are asked to challenge assumptions made surrounding the selection of random numbers. For simple random sampling every member of the population requires an equal chance of being chosen. Students are required to use this spreadsheet to investigate for numbers up to 30.

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Sampling and Hypothesis Testing using the Normal Distribution: Sample Mean Gap-Filler

In this activity, students are given a variety of normal distributions each containing missing numbers. Students are required to fit the given numbers into the correct place. This puzzle is designed to test students’ understanding of the mean and variance of the sample mean for a Normal distribution. A certain...

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