Investigation types

Classify a statistical question as a summary, comparison, relationship, or time-series investigation, and classify the data involved as qualitative/quantitative, discrete/continuous, and primary/secondary.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • S4-1
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
  • Qualitative data
  • Quantitative data
  • Discrete data
  • Continuous data
  • Primary data
  • Secondary data

Task goals

  • Name and describe each of the four investigation types (summary, comparison, relationship, time-series).
  • Classify a given research scenario or statistical question by its investigation type, and justify the classification.
  • Match each investigation type to the graph or display best suited to it (single-variable display for summary, box-and-whisker/side-by-side for comparison, scatter plot for relationship, line/time-series graph for time-series).
  • Classify a given variable as qualitative or quantitative, and as discrete or continuous, explaining the reasoning (including edge cases like ordinal rating scales or measurements rounded to whole numbers).
  • Classify a data source as primary or secondary, and explain the trade-offs of using secondary data (convenience and cost vs fit and reliability).
  • 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 why choosing the wrong investigation type or display can mislead.

Where this fits

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

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Investigation types

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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