Analysing scatter plots (i.e. bivariate) - TARSOG

Analyse bivariate scatter plots using the TARSOG framework -- describing the Trend, Association, Relationship strength, Scatter, Outliers, and Groupings present in the data.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • S5-1
New NZC (2026)
  • NZC26-P4-STA-VIS-K-Y9-03
  • NZC26-P4-STA-VIS-P-Y10-01
  • NZC26-P4-STA-INT-P-Y10-03

Resources

  • Other: (Bivariate) TARSOG - Specific WBHS worksheets TBC
  • Beta: Skills in Ex 31.01, pg 579
  • CorbettMaths - Scatter GraphsQuestions PDF · Answers

Terminology

  • scatter plot
  • trend
  • association
  • relationship
  • scatter
  • outlier
  • grouping

Task goals

  • Recall what T, A, R, S, O, and G each stand for in the TARSOG framework for scatter plots.
  • Identify the trend in a scatter plot as linear or non-linear.
  • Identify the association as positive or negative (correlation direction is correctly described as positive/negative for scatter plots, unlike time series trend).
  • Judge the relationship strength as weak, moderate, or strong from how closely points cluster around the trend.
  • Identify the scatter as constant or non-constant (whether the spread of points stays even or changes across the plot).
  • Identify outliers and groupings, and explain how each affects the reading of the overall trend and association.
  • Analyse an unfamiliar scatter plot using all six TARSOG components together, justifying each classification.

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Analysing scatter plots (i.e. bivariate) - TARSOG

Analysing scatter plots (i.e. bivariate) - TARSOG

Know

In relationship investigations: sometimes one variable is thought of as predictive of the other variable; then the response or dependent variable is on the y-axis, and the 'predictive', explanatory, or independent variable is on the x-axis; an eyeballed line or curve of best fit can be added for paired numerical data.

Statement▸
Year 9 · Statistics · Visualisation of data
NZC26-P4-STA-VIS-K-Y9-03

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