Exploring data: graphs and numerical summaries

by The Open University

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Synopsis

This Unit will introduce you to a number of ways of representing data graphically and of summarising data numerically. You will learn the uses for pie charts, bar charts, histograms and scatterplots. You will also be introduced to various ways of summarising data and methods for assessing location and dispersion.

Table of Contents

Introduction
Learning outcomes
1 0 Introducing data
1.1.1 Introduction
1.2: Nuclear power stations
1.1.3: USA workforce
1.1.4: Infants with SIRDS
1.1.5 Runners
1.1.6 Cirrhosis and alcoholism
1.1.7 Body weights and brain weights for animals
1.1.8 Surgical removal of tattoos
1.1.9 Data and questions: summary
2.3.1 Introduction
1.3.2: Pie charts: surgical removal of tattoos
1.2.3 Pie charts: Nuclear power stations
1.2.4 Bar charts: nuclear power stations
1.2.5 Bar charts: Surgical removal of tattoos
1.2.6 Problems with graphics
1.2.7 Problems with graphics: USA workforce
1.2.8 Problems with graphics: nuclear power stations
1.2.9 Pie charts and bar charts: summary
3.1 Introduction
3.2: Histograms
3.3: Scatterplots
3.4: Scatterplots: body weights and brain weights for animals
1.3.5 Histograms and scatterplots: summary
1.4.1 Introduction
1.4.2 Measures of location
4.3: The median
1.4.3.1 Beta endorphin concentration (collapsed runners)
1.4.3.2 Birth weights of infants with SIRDS
1.4.4: The mean
4.5: The mode
1.4.5.1 Chest measurements of Scottish soldiers
Waiting times between geyser eruptions
1.4.6: Measures of dispersion
4.7: Quartiles and the interquartile range
1.4.7.1 Quartiles for the SIRDS data
1.4.7.2 Quartiles when the sample size is awkward
1.4.7.3 Interquartile range for the SIRDS data
1.4.8 The standard deviation
1.4.9 Sample variance
1.4.10 A note on accuracy
4.11: Symmetry and skewness
4.12: Numerical summaries: summary
5: Summary
Next steps
Acknowledgements

 

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