Data Science
52 weeks
1. Statistics and Probability
(Week 1 to Week 6)
Week 1: Descriptive Statistics
Intro to Descriptive Statistics
Another Intro to Descriptive Statistics
Measures
Central Tendency
Mode
Unimodal / Bimodal / Multimodal
Median (50th percentile)
Mean (Average) μ
Dispersion (or Variability)
The Absolute Deviation from Mean, also called Mean Absolute Deviation (MAD)
Variance σ²
Standard Deviation σ
Standard deviation in a normal distribution
Population and sample standard deviation review
Range
Quartiles
Interquartile range (IQR)
Skewness
Positive / Zero / Negative
Kurtosis γ₂
Platykurtic / Mesokurtic / Leptokurtic
Summarizing quantitative data
KhanAcademy unit
Week 2: Probability
Probability
KhanAcademy unit
Week 3: Combinations and Permutations
Counting, permutations, and combinations
KhanAcademy unit
Week 4: Normal Distribution and Sampling Distributions
Z Score – Definition and How to Use
Normal Distribution cdf calculator
Modeling data distributions
KhanAcademy unit
Sampling distributions
KhanAcademy unit
Sampling distribution of a sample proportion
Sampling distribution of a sample mean
Differences of sample proportions
Week 5: Confidence Intervals
Confidence intervals
KhanAcademy unit
T Score
T distribution with Critical Regions
Week 6: Hypothesis Testing
Significance tests (hypothesis testing)
KhanAcademy unit
Introduction to Type I and Type II errors
When to use z or t statistics in significance tests
2. Mathematics
(Week 7 to 12)
Week 7: Vectors and Spaces
Vectors and spaces
KhanAcademy unit