Repeated Sampling as a step towards Informal Statistical Inference

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Recent literature suggests that secondary school students should learn about informal statistical inference (ISI) as preparation for formal statistical inference. Not enough is known, however, how to realize this. The design study reported here aimed at developing a theoretically and empirically grounded learning trajectory (LT) on ISI for 9th-grade 14-year-old students. The LT focused on sampling, the frequency distribution of results from repeated samples, and sampling distribution. The current paper reports on the part of the LT on using the frequency distribution of repeated samples as tested with twenty students. The results showed that these students could imagine and sketch the frequency distribution of repeated samples, which indicates a step forward in their understanding of variation and uncertainty in drawing informal statistical inferences.
Original languageEnglish
Title of host publicationLooking back, looking forward.
Subtitle of host publicationProceedings of the Tenth International Conference on Teaching Statistics
EditorsM.A Sotos, A. White, L. Guyot
Place of PublicationVoorburg
PublisherInternational Statistics Institute
Number of pages4
Publication statusPublished - 1 Sept 2018
EventICOTS10: 10th International Conference on Teaching Statistics - Kyoto, Japan
Duration: 8 Jul 201813 Nov 2018
Conference number: 10


Internet address


  • Statistics education
  • Repeated sampling
  • Statistical Inference
  • TinkerPlots
  • Learning Trajectory


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