AQR.MATH.4.K

Describe strengths and weaknesses of sampling techniques, data and graphical displays, and interpretations of summary statistics and other results appearing in a study, including reports published in the media.

Advanced Quantitative Reasoning · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
strengthsweaknessessampling techniquesdatagraphical displaysinterpretationssummary statisticsresultsstudyreportsmedia
Skills
  • describe (strengths of sampling techniques, data, graphical displays, interpretations of summary statistics and results in studies) #dok2
  • describe (weaknesses of sampling techniques, data, graphical displays, interpretations of summary statistics and results in studies) #dok2
  • analyze (sampling techniques and representations in media reports) #dok3
  • evaluate (validity and reliability of statistical interpretations in published studies) #dok3
Learning Targets
  • I can identify strengths of sampling techniques, data, or graphical displays in a study. #dok1
  • I can identify weaknesses of sampling techniques, data, or graphical displays in a study. #dok1
  • I can describe how sampling techniques influence the validity of a study. #dok2
  • I can describe how graphical displays and summary statistics affect interpretations of results. #dok2
  • I can analyze the validity of interpretations or statistical methods used in media reports. #dok3
  • I can evaluate whether a data presentation gives an accurate and fair summary of a study's results. #dok3
Big Ideas
  • The quality of statistical studies and reports depends on the appropriateness of sampling methods, data collection, and representations.
  • Understanding both strengths and weaknesses in how studies summarize and display data helps consumers evaluate the credibility of statistical information.
Essential Questions
  • Why is it important to examine the sampling technique used in a statistical study?
  • How do different graphical displays influence how we interpret statistical results?
  • What are the potential weaknesses in how summary statistics are reported in studies published in the media?
  • How can we determine whether the conclusions drawn from a statistical study are reasonable and reliable?
  • In what ways might a study’s methodology affect the strength or weakness of its reported results?