# AP Statistics Curriculum 2007 EDA Center

### From Socr

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===Measurements of Central Tendency=== | ===Measurements of Central Tendency=== | ||

- | + | There are three main features of all populations (or data samples) that are always critical in uderstanding and intepreting their distributions. These characteristics are '''Center''', '''Spread''' and '''Shape'''. The main measure of centrality are '''mean''', '''median''' and '''mode'''. | |

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- | === | + | ===Mean=== |

- | + | Suppose we are interested in the long-jump performance of some students. We can carry an experiment by randomly selecting 8 male statistics students and ask them to perform the standing long jump. In reality every student participated, but for the ease of calculations below we will focus on these eight students. The long jumps were as follows: | |

+ | |||

+ | {| class="wikitable" style="text-align:center; width:75%" border="1" | ||

+ | |+Long-Jump (inches) Sample Data | ||

+ | |- | ||

+ | | 74 || 78 || 106 || 80 || 68 || 64 || 60 || 76 | ||

+ | |} | ||

+ | |||

+ | <math>\overline{y} = {1 \over 8} (74+78+106+80+68+64+60+76)=75.75 in.</math> | ||

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===Model Validation=== | ===Model Validation=== |

## Revision as of 01:54, 28 January 2008

## Contents |

## General Advance-Placement (AP) Statistics Curriculum - Central Tendency

### Measurements of Central Tendency

There are three main features of all populations (or data samples) that are always critical in uderstanding and intepreting their distributions. These characteristics are **Center**, **Spread** and **Shape**. The main measure of centrality are **mean**, **median** and **mode**.

### Mean

Suppose we are interested in the long-jump performance of some students. We can carry an experiment by randomly selecting 8 male statistics students and ask them to perform the standing long jump. In reality every student participated, but for the ease of calculations below we will focus on these eight students. The long jumps were as follows:

74 | 78 | 106 | 80 | 68 | 64 | 60 | 76 |

### 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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