Learning Goal
Develop an empirical probability distribution
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**HSS.MD.A.4**: (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?
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HSS.MD.A.4: (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. For example, find a current data distribution on the number of TV sets per household in the United States, and calculate the expected number of sets per household. How many TV sets would you expect to find in 100 randomly selected households?
What you'll learn
- Develop an empirical probability distribution by converting observed counts or frequencies into relative-frequency probabilities
- Verify the developed distribution sums to approximately 1 (handling rounding) and graph it as a probability histogram
- Compute the expected value of an empirically developed distribution, including handling an open-ended category with a stated representative value
- Scale an expected value to a population total using n*E(X)
- Explain how an empirical distribution differs from a theoretical one and how sample size and representativeness affect the quality of the estimate
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
Empirical distribution and graphing
✓ Start hereExpected value and scaling
Practice
Try it on your own