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Discrete Random Variables: DRV Venn Diagram

In this activity, students are given a Venn diagram and asked to find eight different probability distributions, one for each of the eight regions in the Venn diagram. The notes give solutions for the regions that are possible.

This resource is part of the Making Stats Vital collection from Jonny Griffiths...

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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The Poisson Distribution: Raindrops onto a Paving Slab

This resource comprises a spreadsheet which models raindrops falling onto paving slabs. As the variables are adjusted associated graphs display both the experimental and theoretical results. The resource is designed to encourage discussion of how a binomial distribution can be approximated by a Poisson distribution...

The Poisson Distribution: Adding Two Poisson Distributions

In this resource, students consider whether two Poisson distributions can be added together to form a third Poisson distribution. The initial, discussion generating proposition is backed up by a proof. The resource also contains an accompanying spreadsheet on which students can run simulations to test the result....

The Normal Distribution: Parameter Gaps

In this activity students are set the challenge of finding missing values such that the mean and variance of a Poisson distribution, a Binomial distribution and a normal distribution makes sense. The solution sheet contains three possible solutions.

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

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: 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.

This resource...

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...

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...