# AP Statistics Curriculum 2007 EDA Shape

(Difference between revisions)
 Revision as of 18:40, 14 June 2007 (view source)IvoDinov (Talk | contribs)← Older edit Revision as of 00:24, 28 January 2008 (view source)IvoDinov (Talk | contribs) Newer edit → Line 1: Line 1: ==[[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== - ===Measures of Shape=== + ===Definitions=== - Example on how to attach images to Wiki documents in included below (this needs to be replaced by an appropriate figure for this section)! + * A distribution is '''unimodal''' if it has one mode. Unimodal distributions include: -
[[Image:AP_Statistics_Curriculum_2007_IntroVar_Dinov_061407_Fig1.png|500px]]
+ ** 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]] - ===Approach=== + ===Examples=== - Models & strategies for solving the problem, data understanding & inference. + 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]]. +
[[Image:SOCR_EBook_Dinov_EDA_012708_Fig4.jpg|500px]]
+ + ===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. - * TBD ===Model Validation=== ===Model Validation===

## 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

• TBD

### Examples

Computer simulations and real observed data.

• TBD

### Hands-on activities

Step-by-step practice problems.

• TBD

• TBD