Week | Topics | Study Materials | Materials |
1 |
Introduction to Statistics: Overview of statistics and its significance.
|
|
|
2 |
Data Collection and Presentation (Part I); Methods of data collection: observational studies, experiments, and surveys, Organizing data: frequency tables and histograms.
|
|
|
3 |
Data Collection and Presentation (Part II); Graphical representations: pie charts, bar graphs, and scatterplots, basics of data quality: sources of errors, outliers, and biases.
|
|
|
4 |
Measures of Central Tendency; Mean, median, mode, Properties and applications in real-world scenarios.
|
|
|
5 |
Measures of Dispersion; Range, variance, and standard deviation, Coefficient of variation and interpretation
|
|
|
6 |
Introduction to Probability; Basics of probability, sample spaces, and events, The addition rule and multiplication rule.
|
|
|
7 |
Midterm Exam
|
|
|
8 |
Further Probability Concepts; Conditional probability and independent events, Counting principles: permutations and combinations.
|
|
|
9 |
Discrete Probability Distributions (Part I); Random variables and probability mass functions, Expected value and variance.
|
|
|
10 |
Discrete Probability Distributions (Part II); Binomial distribution: properties, mean, and variance, Poisson distribution: introduction and applications.
|
|
|
11 |
Continuous Probability Distributions (Part I); Probability density functions, The uniform distribution.
|
|
|
12 |
Continuous Probability Distributions (Part II); The normal distribution: properties and applications, Using z-scores to find probabilities and percentiles.
|
|
|
13 |
Sampling Distributions; Basics of sampling and introduction to sampling distributions, Distribution of the sample mean and the Central Limit Theorem.
|
|
|
14 |
Estimation and Confidence Intervals; Point estimation, Interval estimation for means and proportions.
|
|
|
15 |
Introduction to Hypothesis Testing; Formulating null and alternative hypotheses, Type I and Type II errors.
|
|
|
16 |
Final Exam
|
|
|