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

MA19.MM.18

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

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.

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
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