Misleading graphs

Identify and explain what makes a graph misleading -- truncated or broken axes, inconsistent scales, area-distorted pictograms, and other techniques -- and describe the five features of a good, honest graph.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • S4-2
New NZC (2026)
  • NZC26-P4-STA-INT-K-Y9-03
  • NZC26-P4-STA-INT-P-Y9-01
  • NZC26-P4-STA-VIS-P-Y9-02
  • NZC26-P3-STA-INT-K-Y7-04
  • NZC26-P3-STA-INT-P-Y7-03

Resources

Terminology

  • good title
  • clearly labelled axis
  • simplicity
  • clear data points
  • uninterrupted axis
  • truncated axis
  • axis break
  • area distortion

Task goals

  • Recall the five features of a good, honest graph: good title, clearly labelled axes, simplicity, clear data points, and an uninterrupted (zero-baseline) axis.
  • Identify a truncated or non-zero y-axis and explain why it exaggerates the apparent difference between values.
  • Recognise the axis-break (zig-zag) symbol and explain what it signals to a reader.
  • Identify area distortion in pictograms, where scaling an icon's linear size makes its area (and the visual impression) grow much faster than the true value.
  • Redraw or describe an honest correction of a misleading graph using the same data.
  • Critique a misleading graph in detail, using actual figures to quantify how misleading it is, and reason about the ethics and real-world impact of misleading data visualisation.

Where this fits

What leads into this objective, and where it goes next.

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Misleading graphs

Misleading graphs

Know

Data visualisations need to be critically assessed to see if they support or misrepresent the data.

Statement▸
Year 9 · Statistics · Interpretation of data
NZC26-P4-STA-INT-K-Y9-03
Do

Critically considering data visualisations, including those from contemporary media, to see if they support or misrepresent the data

Statement▸
Year 9 · Statistics · Interpretation of data
NZC26-P4-STA-INT-P-Y9-01

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