AP Statistics Curriculum 2007 EDA Center

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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:

Long-Jump (inches) Sample Data
74 78 106 80 68 64 60 76

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


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



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