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A Level Statistics

Statistics 1 Formula AQA

Statistics 1 formula for the AQA syllabus and for the OCR syllabus. Most are included in the formula book but you must make sure you know how to use them!

Statistics 2 Formula AQA

Statistics 2 formula for the AQA syllabus.

Central Limit Theorem

Graphic demonstration of the Central Limit Theorem. Use sliders to change shapes of graphs. Two tabs - one to demonstrate non-normal distributions, one to demonstrate standard deviation of estimations of normal distributions.

Poisson Diagram

Visual diagram highlighting key maths contributory ideas to the Poisson Distribution.

Statistics Distributions

Summary document highlighting key features, criteria, examples, notation and equations of the binomial, normal, poisson and geometric distributions.

Graphs of Distributions

Dynamic graphs of the binomial, normal and poisson distributions. Use sliders to change values and shapes.

Product Moment Correlation Coefficient

Scattergraph vs PMCC vs sentence, in ascending order.

Least Squares Regression Lines

In this task students begin with recapping scatter diagrams before continuing on to find the equation of a least squares regression line. The intention being to make the link as explicit and direct as possible. Answers included. Pdf version.

Identifying the Reference Distribution

Notes on features to consider when deciding which distribution to use for hypothesis testing. Pdf version. Tree Diagram.

Hypothesis Testing Terminology

Notes and examples of common hypothesis testing terminology. Pdf version.

Chi-Squared Concept Questions

A set of questions designed to assess students understanding of the chi-squared hypothesis test. These questions all involve 'single' sets of data, in preparation for contingency tables later on.

Trying to be Random

Imagine rolling the die 40 times, what may the results be? Then carry out a chi-squared test to assess your randomness.

Independent Vs Non-Independent

Two tree diagrams to illustrate the difference between probabilitiest of independent events and non-independent events.

Probability Ofsted

Pupils use logic and combinations to find the probability of extra planning for lessons when Ofsted visits a school. Not easy - most able students only - and definately an open-ended task that Ofsted would enjoy should they visit the lesson!

Statistics Question Types

Zip file of 4 exam papers plus an Excel file (answer grid) detailing each type of question. Good activity for students familiarise themselves with recognising the types of question.

Print out the exam papers (on different coloured card), cut up each question and ask pupils to match up all the binomials, geomatrics, perms & combs, prob dists, Spearmans ranks etc.

Cakes & Celebrities

A great starter to introduce Spearmans Rank Correlation Coefficient. Print out two sets of cards, cut up and ask two pupils to order them according to preference. Compare pupils orders using Spearmans Rank. For the celebrities suggest 'who would they most prefer to go to dinner with'.

Autograph File: Linear Regression

A nice starter example and then the main activity is four sets of data for pupils to plot scatter diagrams and discover if positive, negative, weak strong or no correlation. This is a great activity if used on Autograph as pupils can then add a least squares regression line and find the equation of etc.

Completed Autograph files of each set are here: 1, 2, 3, 4. Or everything as a is zip file.

Notes for doing this activity.

Variance Formula

Variance formula, typed out neatly so you don't have to write it!

Combinations

How many ways to choose 0, 1, 2 or 3 from 3 cards. Or 0-4 from 4 cards, or even 5! (An introduction to Pascals).

Perms & Combs

Crib sheet for Stats 1 - Permutations and Combinations

Pack of Cards

To download images of a pack of cards as a single zip file.