AP Statistics Curriculum 2007 EDA Shape

General Advance-Placement (AP) Statistics Curriculum - Measures of Shape

Definitions

• A distribution is unimodal if it has one mode. Unimodal distributions include:
  • Bell shaped distributions (symmetric, Normal)
  • Skewed right
  • Skewed Left
• Multimodal distributions have two or more than one modes. Examples of multimodal distributions are:
  • U Quadratic
  • Mixture Distributions

Examples

What seems like a logical choice for the shape of the hot dog calorie data? Try looking at the histogram of the calories for the Hot-dogs dataset.

Activities

Classify and draw a sketch each of the following scenarios with respect to mode. Also, if unimodal, classify symmetry (symmetric, skewed right or skewed left).

Data collected on height of randomly sampled college students.
Data collected on height of randomly sampled female college students.
The salaries of all persons employed by a large university.
The amount of time spent by students on a difficult exam.
The grade distribution on a difficult exam.

Model Validation

Checking/affirming underlying assumptions.

• TBD

Computational Resources: Internet-based SOCR Tools

• TBD

Examples

Computer simulations and real observed data.

• TBD

Hands-on activities

Step-by-step practice problems.

• TBD

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References

• TBD

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• SOCR Home page: http://www.socr.ucla.edu

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