Difference between revisions of "AP Statistics Curriculum 2007 EDA Shape"
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==[[AP_Statistics_Curriculum_2007 | General Advance-Placement (AP) Statistics Curriculum]] - Measures of Shape== | ==[[AP_Statistics_Curriculum_2007 | 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: | ||
| + | ** [[http://en.wikipedia.org/wiki/U-quadratic_distribution | U Quadratic]] | ||
| + | ** [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Mixture Distributions]] | ||
| − | === | + | ===Examples=== |
| − | + | What seems like a logical choice for the shape of [[AP_Statistics_Curriculum_2007_EDA_Pics#Example | the hot dog calorie data]]? Try looking at the histogram of the calories for the [[SOCR_012708_ID_Data_HotDogs |Hot-dogs dataset]]. | |
| + | <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig4.jpg|500px]]</center> | ||
| + | |||
| + | ===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=== | ===Model Validation=== | ||
Revision as of 19:30, 27 January 2008
Contents
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:
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
References
- TBD
- SOCR Home page: http://www.socr.ucla.edu
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