# Sigma Statistics Workbook: NCEA Level 3 (4e)

##### Description

The **Sigma Statistics Workbook** follows the sequence of the seven NCEA Achievement Standards for Level 3 Statistics. Each exercise links to a corresponding exercise in Sigma Statistics. This makes it easy to find revision or extra practice material that directly matches the work covered in class.

The workbook offers brief worked examples, content summaries and hundreds of carefully-graded ‘in context’ problems that help students to develop understanding and explain statistical concepts in plain language.

It features comprehensive ‘write-on’ coverage of the new statistical concepts introduced at secondary level – including bootstrapping to obtain informal confidence intervals, randomisation to assess the significance of sample results, and experimental design (treatment and response variables, allocation of treatments, factorial design, controls, blocking, confounding, and more) – as well as new tools for interpretation, such as main effects plots and interaction analysis.

There is also new material on deterministic versus probabilistic models, and expanded coverage of risk and relative risk.

The Sigma Statistics Workbook features a **Student CD** that can be used on computers at home or at school. The CD contains:

- all the worked examples in Sigma Statistics
- all the spreadsheets referred to in the main text and this workbook – data sets, simulations, and answers
- links to internet websites that illustrate statistical concepts
- a formula summary
- statistical probability tables.

Click here to browse sample pages online

##### Table of contents

** Contents
3.8 Time series
**1 Features of time series

2 Time series analysis

3 Seasonal adjustments and index numbers

**3.9 Bivariate measurement data**

4 Analysing bivariate data

5 Bivariate relationships

**3.10 Statistical inference – making comparisions**

6 Exploratory data analysis

7 Sampling variability

8 Differences between samples

**3.11 Statistical experiments**

9 Types of statistical experiment

10 Experimental procedures

**3.12 Statistically based reports**

11 Reading for understanding

12 Data sources

13 Using data: analysis and inference

14 Interpreting statistical reports

**3.13 Probability concepts**

15 Probability and events based on chance

16 Probability techniques

17 Conditional probability

18 Arrangements and selections

**3.14 Probability distributions**

19 Discrete random variables

20 Using distributions to model probability

21 Binomial distribution

22 Poisson distribution

23 Normal distribution

24 Simulation

25 Combining distributions and random variables

**Answers**

**The same month**

Puzzles

__Extra activities__Puzzles

Fair die

Who’s at home?

ZIP codes

A mean puzzle

The St Petersburg paradox

**Investigations**

History and growth of the internet

Holes-in-one

Vending machines and counterfeit coins

Random walk

Paper, scissors, stone

##### Author biography

**David Barton** is a well-known mathematics author of over 50 best-selling texts and workbooks. Find out more about his mathematics books here and at mathematics.co.nz

**Claire Laverty** teaches in Dunedin. She is the author of the Practice Assessments for Level 1 and 2 NCEA Mathematics and Statistics. These are included in the Theta Mathematics and Gamma Mathematics Teaching Resources.

##### Supplement URL

Find out more about Barton Mathematics.

Visit David Barton's website for additional links for each text, spreadsheets, statistics resources and more.