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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