Statistics

Statistics for machine learning and data science, continuing from the Probability section.

Topics

Statistics for machine learning and data science, continuing from the Probability section.

Notes

Populations and Samples
statistics

Statistics is all about drawing conclusions from data. But here is the key challenge: we almost never have access to all the data. Instead, we work…

Jun 27, 2026

Sample Variance
statistics

Variance measures how spread out your data is. It is related to how far data points are from their mean. In the probability section, you learned the…

Jun 27, 2026

Central Limit Theorem
statistics

The normal distribution appears in a lot of places. Here is one that perhaps you did not expect.

Jun 28, 2026

Point Estimation and Maximum Likelihood
statistics

In the previous lessons, you learned how to compute sample statistics (mean, proportion, variance) and how the Law of Large Numbers and Central Limit…

Jun 29, 2026

MLE and Linear Regression
statistics

In the previous section, you learned MLE for estimating parameters of Bernoulli and Gaussian distributions. Now we will see how MLE connects to…

Jun 29, 2026

Bayesian Statistics
statistics

In the previous sections, MLE picked the model that made the data most likely. But likelihood is not the whole story. Sometimes the most likely…

Jul 1, 2026

Lab: Linear Regression and World Happiness
statistics
lab

In this lab you will use the World Happiness Report dataset to explore linear regression. You will fit models to predict a country’s happiness score…

Jun 27, 2026

Confidence Intervals
statistics

You have seen how to take samples from a population and compute a sample mean to estimate an unknown population mean . You know that good sampling…

Jul 1, 2026

Hypothesis Testing
statistics

In the previous section on confidence intervals, you learned how to estimate a population parameter and build a range of plausible values around it….

Jul 2, 2026

t-Distribution and t-Tests
statistics

In the confidence intervals section, you first encountered the t-distribution as a replacement for the normal distribution when the population standard…

Jul 2, 2026

Comparing Two Populations
statistics

So far, all the hypothesis testing you have done involves a single sample from one population. But what happens when you want to compare two different…

Jul 3, 2026

Lab: Confidence Intervals and Hypothesis Testing
statistics

In this lab, you will apply the ideas from confidence intervals and comparing two populations to a real dataset: Chicago rideshare trips from 2022. You…

Jul 2, 2026
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