MA19.MM.18

Mathematics (2019) Grade(s): 09-12 - Mathematical Modeling

MA19.MM.18

Construct a probability distribution based on empirical observations of a variable.

Unpacked Content

Knowledge

Students know:

  • Techniques for conducting randomized experiments.
  • Techniques for conducting simulations of randomized experiment situations.

Skills

Students are able to:

  • Design and conduct randomized experiments with two treatments.
  • Draw conclusions from comparisons of the data of the randomized experiment.
  • Design, conduct, and use the results from simulations of a randomized experiment situation to evaluate the significance of the identified differences.

Understanding

Students understand that:

  • Differences of two treatments can be justified by a significant difference of parameters from a randomized experiment.
  • Statistical analysis and data displays often reveal patterns in data or populations, enabling predictions.

Vocabulary

  • Randomized experiment
  • Significant
  • Parameters

COS Examples

Example: Record the number of student absences in class each day and find the probability that each number of students will be absent on any future day.

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