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Data Analysis and Probability Standard for Grades 6-8




Instructional programs from prekindergarten through grade 12 should enable all students to—  In grades 6–8 all students should— 
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them
  • formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population;
  • select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots.
Select and use appropriate statistical methods to analyze data
  • find, use, and interpret measures of center and spread, including mean and interquartile range;
  • discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots.
Develop and evaluate inferences and predictions that are based on data
  • use observations about differences between two or more samples to make conjectures about the populations from which the samples were taken;
  • make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit;
  • use conjectures to formulate new questions and plan new studies to answer them.
Understand and apply basic concepts of probability
  • understand and use appropriate terminology to describe complementary and mutually exclusive events;
  • use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations;
  • compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models.

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