Statistics

The pathway

Placement first. Then six levels, mastered in order.

A short placement quiz finds the level where statistics genuinely starts for your child. From there, each level ends in a mastery quiz, passed before the next level opens.

1. Placement quiz

   Finds the starting level. No assumptions from age or school year.

2. Level 1

   Year 5 standard

   Collecting data, building displays and reading them: tables, column graphs and first averages.

   • —Collect and organise data in tables and construct column and line graphs (NESA MA3-DATA-01)
   • —Identify trends and make comparisons using graphs
   • —Calculate the mean (average) and identify mode and range
   • —Make predictions based on data

3. Level 2

   Year 6 standard

   All four statistical measures and more critical reading of data, including outliers.

   • —Calculate mean, median, mode and range for real-world data sets
   • —Recognise outliers and draw conclusions from data displays
   • —Interpret and compare data displays including dot plots, column graphs and line graphs (NESA MA3-DATA-02)

4. Level 3

   Year 7 standard

   Choosing displays and interpreting measures of centre and spread for collected data.

   • —Create tables, column graphs and line graphs and choose appropriate displays
   • —Calculate mean, median, mode and range (NESA MA4-DAT-01)
   • —Interpret measures of centre and spread and draw conclusions from data

5. Level 4

   Year 8 standard

   Histograms and summary statistics applied to real data sets.

   • —Create histograms and line graphs and choose appropriate data displays
   • —Calculate and interpret mean, median, mode and range for real data sets
   • —Analyse data using summary statistics and measures of spread (NESA MA4-DAT-02)

6. Level 5

   Year 9 standard

   Bivariate data: scatter plots, correlation and comparing data sets with statistical displays.

   • —Construct histograms and scatter plots and choose appropriate displays
   • —Identify positive, negative and no correlation in scatter plots
   • —Use statistical displays and measures to compare data sets (NESA MA5-DAT-01)
   • —Interpret the results and limitations of statistical models

7. Level 6

   Year 10 standard

   Correlation strength and lines of best fit, with statistical measures used for inference.

   • —Fit and interpret a line of best fit on a scatter plot
   • —Describe the strength of correlation and interpret its meaning
   • —Apply mean, median, mode and range to draw and justify conclusions
   • —Use statistics to analyse data and make inferences (NESA MA5-DAT-02)

All topics and levels are aligned to the NSW Mathematics K–10 Syllabus (NESA). Level 1 corresponds to the Year 5 standard and Level 6 to the Year 10 standard, spanning Stages 3 to 5 of the NSW curriculum.