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