Introduction to Probability, Data, Analysis and Statistics for Preservice Middle School Teachers

- Randomness and Probability
- Law of Large Numbers
- Theoretical and experimental probability
- Calculating probabilities:
- Addition and multiplication rules
- Contingency tables, tree diagrams
- Independent events, Disjoint events
- Conditional probability

- Random variables and probability models:
- Expected value
- Standard deviation and variance
- Fair and unfair games of chance

- Statistical Investigations
- Review of descriptive statistics and statistical design:
- Measures of center
- Measures of spread
- Samples and populations

- Hypothesis testing:
- Statistical questions
- Null and alternative hypotheses

- Sampling distribution models:
- Sampling distribution of a statistic
- Normal distribution
- Central Limit Theorem

- Statistical interpretation:

- Chi-Square test
- Confidence intervals

- Review of descriptive statistics and statistical design: