Statistical investigation types

Classify a statistical question as a summary, comparison, relationship, or time-series investigation, and match each investigation type to the graph or display best suited to it.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • S4-1
  • S3-1
New NZC (2026)
  • NZC26-P4-STA-DKD-K-Y9-07
  • NZC26-P4-STA-DKD-K-Y9-05
  • NZC26-P4-STA-DKD-K-Y9-03
  • NZC26-P4-STA-DKD-K-Y9-04
  • NZC26-P4-STA-DKD-K-Y9-06

Resources

Terminology

  • Summary investigation
  • Comparison investigation
  • Relationship investigation
  • Time-series investigation
  • Investigative question

Task goals

  • Name and describe each of the four investigation types: summary, comparison, relationship, and time-series.
  • Classify a given statistical question or scenario by its investigation type, and justify the classification.
  • Match each investigation type to the graph or display best suited to it (dot plot or bar graph for summary, side-by-side dot plots or box-and-whisker plots for comparison, scatter plot for relationship, time-series line graph for time-series).
  • Write a valid investigative question of a specified type for a given context.
  • Recognise that a real investigation can combine more than one type (e.g. tracking two groups over time combines time-series and comparison), and explain how this affects the display chosen.

Where this fits

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

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Statistical investigation types

Statistical investigation types

Know

A time-series investigation looks at a variable over time.

Statement▸
Year 9 · Statistics · Developing knowledge from data
NZC26-P4-STA-DKD-K-Y9-07
Know

A comparison investigation compares a variable across two clearly identified groups.

Statement▸
Year 9 · Statistics · Developing knowledge from data
NZC26-P4-STA-DKD-K-Y9-05

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