MA19.7A.26

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.26

Examine a sample of a population to generalize information about the population.

Unpacked Content

Knowledge

Students know:
  • a random sample can be found by various methods, including simulations or a random number generator.
  • Samples should be the same size in order to compare the variation in estimates or predictions.

Skills

Students are able to:
  • determine whether a sample is random or not and justify their reasoning.
  • Use the center and variability of data collected from multiple same-size samples to estimate parameters of a population.
  • Make inferences about a population from random sampling of that population.
  • Informally assess the difference between two data sets by examining the overlap and separation between the graphical representations of two data sets.

Understanding

Students understand that:
  • statistics can be used to gain information about a population by examining a sample of the populations.
  • Generalizations about a population from a sample are valid only if the sample is representative of that population.
  • Random sampling tends to produce representative samples and support valid inferences
  • The way that data is collected, organized and displayed influences interpretation.

Vocabulary

  • Population
  • Sample
  • biased
  • Unbiased
  • Sampling techniques
  • Random sampling
  • Representative samples
  • Inferences

Aligned Learning Resources

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