AP Statistics Curriculum 2007 EDA Shape

From Socr

(Difference between revisions)
Jump to: navigation, search
Line 14: Line 14:
** [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Mixture Distributions]]
** [[SOCR_EduMaterials_ModelerActivities_MixtureModel_1 | Mixture Distributions]]
<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig9.jpg|500px]]</center>
<center>[[Image:SOCR_EBook_Dinov_EDA_012708_Fig9.jpg|500px]]</center>
 +
 +
===Other Measures of Shape===
 +
[[AP_Statistics_Curriculum_2007_Distrib_MeanVar | This section also provides moment-based characterization of distribution shape]].
===Examples===
===Examples===

Revision as of 15:38, 14 March 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 or skewed left
    • We can use the mean and median to help interpret the shape of a distribution. For a unimodal distribution we have these properties:
      • If mean = median, then the distribution is symmetric
      • If mean > median, then the distribution is right skewed
      • If mean < median, then the distribution is left skewed

Other Measures of Shape

This section also provides moment-based characterization of distribution shape.

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

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 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.

Hands-on activities




Translate this page:

(default)

Deutsch

Español

Français

Italiano

Português

日本語

България

الامارات العربية المتحدة

Suomi

इस भाषा में

Norge

한국어

中文

繁体中文

Русский

Nederlands

Ελληνικά

Hrvatska

Česká republika

Danmark

Polska

România

Sverige

Personal tools