"Course Outline & Weekly Topics"  

Section 1: Descriptive Statistics (Weeks 1-4)

1. Week 1 - Introduction to Statistics

   • Topics: Types of Data, Descriptive and Inferential Statistics, Scales of Measurement

2. Week 2 - Categorical Data

   • Topics: Frequency Distribution, Graphing Best Practices through Pie chart and Bar chart, Mode, and Median for Categorical Variables

3. Week 3 - Numerical Data

   • Topics: Frequency Tables, Pie chart and Bar chart, Measures of Central Tendency (Mean, Mode, Median) Quartiles, Percentiles, and Dispersion (Range, Variance, Standard Deviation, IQR)

4. Week 4 - Association Between Variables

   • Topics: Association between Categorical and Numerical Variables - using relative frequency in contingency tables, Association between numerical variables - Scatterplot, Covariance, Pearson, and Point Bi-serial Correlation .

Section 2: Counting & Probability (Weeks 5-8)

5. Week 5 - Principles of Counting

   • Topics: Counting Rules, Addition and Multiplication Principles, Factorials

6. Week 6 - Permutations and Combinations

   • Topics: Calculation of Permutations and Combinations for Problem Solving

7. Week 7 - Introduction to Probability

   • Topics: Definitions, Events, Properties of Probability

8. Week 8 - Conditional Probability

   • Topics: Multiplication Rule, Independence, Law of Total Probability, Bayes' Theorem

Section 3: Random Variables & Distributions (Weeks 9-12)

9. Week 9 - Random Variables

   • Topics: Random Experiments, Discrete and Continuous Variables, PMF, and CDF

10. Week 10 - Expectation and Variance

    • Topics: Expectation, Variance, and Standard Deviation of Discrete Random Variables

11. Week 11 - Binomial and Poisson Distributions

    • Topics: Bernoulli Trials, Binomial Variables, Expectation, and Variance, Poisson Distribution

12. Week 12 - Continuous Random Variables

    • Topics: Area Under the Curve, Properties of PDF, Uniform and Exponential Distributions