AP Statistics Curriculum 2007 EDA Shape - Revision history

Tdlee: Text replacement - "{{translate|pageName=http://wiki.stat.ucla.edu/socr/" to ""{{translate|pageName=http://wiki.socr.umich.edu/"

2020-03-03T19:25:38Z

Text replacement - "{{translate|pageName=http://wiki.stat.ucla.edu/socr/" to ""{{translate|pageName=http://wiki.socr.umich.edu/"

2014-11-07T03:08:36Z

2010-06-04T21:14:44Z

‎Definitions

2010-06-04T21:13:50Z

‎Definitions

2009-10-26T04:47:01Z

added a link to the Problems set

2008-03-14T15:46:09Z

2008-01-28T02:27:55Z

2008-01-28T01:14:24Z

2008-01-28T01:10:19Z

‎Activities

2008-01-28T01:07:52Z

← Older revision		Revision as of 19:25, 3 March 2020
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	* SOCR Home page: http://www.socr.ucla.edu		* SOCR Home page: http://www.socr.ucla.edu

−	{{translate\|pageName=http://wiki.~~stat~~.~~ucla~~.edu~~/socr~~/index.php?title=AP_Statistics_Curriculum_2007_EDA_Shape}}	+	"{{translate\|pageName=http://wiki.socr.umich.edu/index.php?title=AP_Statistics_Curriculum_2007_EDA_Shape}}

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 *** If '''mean > median''', then the distribution is right skewed
 *** If '''mean < median''', then the distribution is left skewed
 * '''Multimodal''' distributions have two or more modes. Examples of multimodal distributions are:

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 *** If '''mean < median''', then the distribution is left skewed
-* '''Multimodal''' distributions have two or more than one modes. Examples of multimodal distributions are:
+* '''Multimodal''' distributions have two or more modes. Examples of multimodal distributions are:
 ** [http://en.wikipedia.org/wiki/U-quadratic_distribution U Quadratic]
 ** [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Mixture Distributions]]

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 ** Bell shaped distributions (symmetric, Normal)
 ** Skewed right or skewed left
-** We can use the [[AP_Statistics_Curriculum_2007_EDA_Center | mean and median]] to help interpret the shape of a distribution. For a unimodal distribution we have these properties:
+** We can use the [[AP_Statistics_Curriculum_2007_EDA_Center | mean and median]] to help interpret the shape of a distribution. For an unimodal distribution we have these properties:
 *** If '''mean = median''', then the distribution is symmetric
 *** If '''mean > median''', then the distribution is right skewed

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 * [[SOCR_EduMaterials_Activities_RNG | You can generate data using the SOCR Modeler as shown here]].
 * [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Try fitting multi-model mixture models to samples of 2 Normal distributions with very different centers]]
 <hr>

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 ** [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Mixture Distributions]]
 <center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig9.jpg|500px]]</center>
 ===Examples===

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 *The amount of time spent by students on a difficult exam.
 *The grade distribution on a difficult exam.
 ===Hands-on activities===
-Step-by-step practice problems.
+* [[SOCR_EduMaterials_Activities_RNG | You can generate data using the SOCR Modeler as shown here]].
+* [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Try fitting multi-model mixture models to samples of 2 Normal distributions with very different centers]]
 <hr>

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 ===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).
+Collect data, draw the sample histogram or dot-plot and classify the shape of the distribution accordingly.  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 college students.
- Data collected on height of randomly sampled female college students.
+*Data collected on height of randomly sampled female college students.
- The salaries of all persons employed by a large university.
+*The salaries of all persons employed by a large university.
- The amount of time spent by students on a difficult exam.
+*The amount of time spent by students on a difficult exam.
- The grade distribution on a difficult exam.
+*The grade distribution on a difficult exam.
 ===Model Validation===