Information - Exercises - Solutions - Quizzes.

These lesson details include:

- outlines of the concepts to be delivered in each block of lessons
- references for resources to use in the teaching process
- exercises for pupils to practise the techniques
- notes of items to emphasise
- URL links to You Tube videos of selected explanations and proofs

*All of the resources are offered here without any warranty or guarantee of their accuracy, although every effort has been made to make them as error-free as possible.*

CIMT Statistics eBook, with solutions and Excel data files.

CIMT Further Statistics eBook, with solutions and Excel data files.

These two eBooks are from the University of Plymouth's 'Centre for Innovation in Mathematics Teaching' (CIMT) and were originally written for A-Level Statistics and A-Level Further Statistics. They cover most of the content in the SQA Advanced Higher Statistics course and permission has been generously granted to host them here.

Each download .zip file contains:

- a single pdf copy of the eBook
- hand-written worked solutions to all relevant exercises and questions
- an Excel file with (nearly) all of the data sets

In the eBooks, a red line next to a question's printed data set means that the numbers are in the Excel file.

The parts of the course that are not included in the CIMT eBooks are covered by the next downloadable .zip file:

AH Statistics Worksheets and Teaching Materials.

This includes worksheets for:

- support materials for non-parametric tests
- normal approximations for non-parametric tests
- two sample proportion tests
- ... and many more!
- full worked solutions for all exercises

Multiple TI-Nspire documents have been authored to support delivering the SQA AH Statistics course content.

TI-Nspire Computer Software [Free 30 day trial].

TI-Nspire .tns files for CIMT eBooks, teaching resources and widgets

The download .zip file contains:

- .tns files of all data sets from both of the CIMT eBooks
- .tns files for demonstrating and simulating selected concepts from the course
- .tns 'Widget' files that can be installed in the 'MyWidgets' folder on a TI-Nspire Handheld. These Widgets provide extra functionality to support the teaching and checking of the course content. Note that when the handheld is in 'Press-to-Test' mode, these Widgets are disabled.

In addition, there are three pdf guides:

- 'Sampling Procedures using TI-Nspire OS4.2.pdf' shows how to simulate:
- Simple Random Sampling
- Systematic Sampling
- Stratified Random Sample
- 'Simple Coding of Statistical Simulations.pdf' shows how to simulate a wide variety of probability simulations
- 'Simulation of Chi-Squared Contingency Table.pdf' details the design of the .tns file 'ChiSquared Simulation RxC.tns'

TI-Nspire video solutions to various Past SQA Statistics exam papers are here

Below is a list of all the .tns teaching files, by conceptual category:

General Background

- Statistician Timeline v1.tns

Probability

- Tree Diagrams.tns

Measures of Dispersion

- IQR vs StDev.tns
- Mean + Median + StDev.tns
- Standard Deviation Concept.tns
- Standard Deviation Divisor HH.tns
- Widget: StemAndLeaf.tns

Random Variables

- Binomial Distn.tns
- Normal Distn.tns
- Norm appx to Binomial.tns
- Poisson Distn.tns
- Poisson Simulation v3.tns
- Students t Distn.tns
- Sum of Normal RVs.tns
- Skewed Normal Distribution v2NH.tns
- Laws of Expectation and Variance.tns

Samples

- Normal Sample Boxplots.tns
- Stratified Random Sampling v2.tns
- Samples - Binomial.tns
- Samples - Normal.tns [for demonstrating normal sample mean is normally distributed]
- Samples - Uniform.tns [for demonstrating Central Limit Theorem]

Hypothesis Testing & Inference

- NonParametric Assumptions.tns
- Widget: MannWhitneyTest.tns
- Widget: Wilcoxon1Test.tns
- Widget: Wilcoxon2Test.tns
- Normal Approx to MW and Wilcoxon.tns
- Chi Squared Contingency Table.tns
- Chi Squared GOF.tns
- ChiSquared Simulation RxC.tns
- Confidence Intervals v2.tns

Bivariate Analysis

- Bivariate - Limitations.tns
- Bivariate - P and C Intervals.tns
- Bivariate - Regression Line.tns
- Bivariate - Residual Plots 1.tns
- Bivariate - Residual Plots 2.tns
- Bivariate - Sampling.tns
- Bivariate - Sxx Syy Sxy r.tns

The download .zip file contains:

- Quick Sampling Quizzes
- 8 multiple choice homework quizzes, each of 10 questions
- issue to pupils roughly one every 1 or 2 weeks, after the teaching of sampling methods
- supports pupils consolidating their understanding of sampling techniques
- Which Test Quizzes
- 8 multiple choice quizzes, each of 4 scenarios
- designed to be used over 8 consecutive lessons, after all hypothesis testing methods have been taught.
- issue to individual pupils at the start of a lesson and discussed in that lesson
- pupils have to decide which analysis technique they'd likely use for each situation
- some situations have more than one answer, depending on the assumptions that are made!
- Quick Revision Quizzes
- 8 multiple choice revision quizzes, each of 10 questions.
- all questions originally sourced from multiple USA AP Statistics Past Exam Papers
- issue to pupils at the end of the course
- use alongside other revision materials
- the short questions can be done alongside longer SQA past exam paper questions, to keep things varied.
- good for consolidating knowledge of technical details

Answers to these quizzes may be requested by sending an email to: statistics AT nhost DOT uk

SQA Advanced Higher Statistics course (Official SQA website)

SQA Advanced Higher Statistics Past Exam Papers (Unofficial, hosted by 'national5maths.co.uk')

SQA AH Statistics Google Group (Unofficial)

Not Awful and Boring Ideas for Teaching Statistics

Teaching Statistics is Awesome

Statisticians want to abandon science's standard measure of 'significance'

The likelihood of encountering two identical packs of Skittles

The Royal Statistical Society Schools Lecture 2004: 'Lies and Statistics', Part 1

The Royal Statistical Society Schools Lecture 2004: 'Lies and Statistics', Part 2

Should we worry that half of Americans trust their gut to tell them what's true?

How To Use Statistics To Improve Your Love Life

What Transport for London Learned From Tracking Your Phone On the Tube

Costly Casino Mistakes: The Sic Bo Incident

Of Poohsticks and pâValues: Hypothesis Testing in the Hundred Acre Wood

How 'random' is Ryanair's seating allocation?

When U.S. Air Force discovered the Flaw of Averages

The shock of the mean: a missing element

How the Central Limit Theorem began

Heart surgery survival chances 'better in the afternoon'

When the normal approximation for Student t isn't good enough

Why You Should Love Statistics [TED talk 12m49s]

Statistical Hypothesis Test Mistakes [You Tube 6m00s]

How Juries are fooled by Statistics [TED talk 21m17s]

Hans Rosling: The best stats you've ever seen [TED talk 19m46s]

Hans Rosling: New insights on poverty [TED talk 18m54s]

Cambridge Mathematics (...how to teach Statistics)

Royal Statistical Society (Teaching Statistics Special Interest Group)

This is Statistics (by the American Statistical Association)

Significance (by Royal Statistical Society)

Royal Statistical Society Significance Magazine

StatLect (a digital textbook on probability and statistics)

Open Middle (challenging stats problems worth solving)

Resourceaholic (Statistics Compilation)

Data Science in a Box (using R)

TI-Nspire Computer Software (Free 30 day trial)

Dilbert Cartoon "Accurate Studies"

Dilbert Cartoon "Bad Data"

Dilbert Cartoon "Test Data"

Dilbert Cartoon "Intuition"

Q: Why does this website exist?

A: The intention was for this collection of resources to support AH Statistics Teachers around Scotland in delivering the course, using free resources that are tailored to the course content. Currently, no single published textbook offers this.

Q: I have found a mistake in one of the resources - can it please be fixed?

A: Yes! Just send an email with as much detail as possible to: statistics AT nhost DOT uk

Q: Can I please obtain the original Word documents for the some of the worksheets?

A: That should be possible. Just send a nicely worded email to: statistics AT nhost DOT uk

Q: Who is the author of this website?

A: It's Nevil Hopley. He has been teaching Statistics in Secondary Schools since 1996. This website is not affiliated to any organisation.

Q: Does this site use any cookies?

A: No. The only data that is recorded from your visit is your IP address along with the date and time of what navigation tabs you clicked on or files that you downloaded.