Y9 Data Representation and Interpretation

Aus Curriculum

Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources (ACMSP228)


  • comparing the annual rainfall in various parts of Australia, Pakistan, New Guinea and Malaysia

Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (ACMSP282)


  • using stem-and-leaf plots to compare two like sets of data such as the heights of girls and the heights of boys in a class


  • describing the shape of the distribution of data using terms such as ‘positive skew’, ‘negative skew’ and 'symmetric' and 'bi-modal'

Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283)


  • comparing means, medians and ranges of two sets of numerical data which have been displayed using histograms, dot plots, or stem and leaf plots

Back-to-back stem and leaf plots

Textbooks

Cambridge

Maths Quest

Summarising data: measures of centre

Stem and leaf plots

Grouped data (percentage frequencies and histograms)

Measures of spread (outliers, quartiles, IQR)

Box plots

Sampling, types of data

Collecting data (dot plots, stem plots, frequency tables)

Collecting data (different displays, histograms, frequency polygons, back-to-back stem and leaf plots)

measures of central tendency (mean and median formulas, grouped data, displays)

measures of spread (incl quartiles, standard deviation, shapes of distributions)

Review measures of centre and spread

Measures of centre for grouped data

Compare data sets using measures of centre and spread

Shape of distributions (skewness, modality)

Compare histograms

Compare dot plots

Data sources (categorical, numerical)

Primary and secondary data in research

review sampling

comparing histograms

EP Outline

  1. Review

Frequency Tables

Measures of centre and spread (incl. displays)

  1. Data Sources

Primary and secondary data

Types of data (numerical, categorical, etc)

  1. Shape and Spread in Data

Sampling

Modal, bi-modal

Skewness, symmetry

  1. Comparing Data

Back-to-back stem and leaf plots

Compare histograms

Compare data sets

Compare dot plots

Quartles

Box and Whisker Plots

Measures of centre for grouped data