Difference between revisions of "AP Statistics Curriculum 2007 EDA Center"
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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: | |
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| + | {| 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 21:00, 27 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 |
\(\overline{y} = {1 \over 8} (74+78+106+80+68+64+60+76)=75.75 in.\)
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
- SOCR Home page: http://www.socr.ucla.edu
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