Crash Course
Science Journalism - Crash Course Statistics
We’ve talked a lot in this series about how often you see data and statistics in the news and on social media - which is ALL THE TIME! But how do you know who and what you can trust? Today, we’re going to talk about how we, as consumers,...
3Blue1Brown
Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2
Introduction to probability density functions.
TED-Ed
TED-Ed: Can you solve the Leonardo da Vinci riddle? - Tanya Khovanova
You've found Leonardo da Vinci's secret vault, secured by a series of combination locks. Fortunately, your treasure map has three codes: 1210, 3211000, and. . . hmm. The last one appears to be missing. Can you figure out the last number...
TED-Ed
TED-Ed: Is math discovered or invented? - Jeff Dekofsky
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient...
Crash Course
Geometric Distributions and The Birthday Paradox - Crash Course Statistics
Geometric probabilities, and probabilities in general, allow us to guess how long we'll have to wait for something to happen. Today, we'll discuss how they can be used to figure out how many Bertie Bott's Every Flavour Beans you could...
TED-Ed
TED-Ed: Why do honeybees love hexagons? - Zack Patterson and Andy Peterson
Honeybees are some of nature's finest mathematicians. Not only can they calculate angles and comprehend the roundness of the earth, these smart insects build and live in one of the most mathematically efficient architectural designs...
Crash Course
When Predictions Succeed - Crash Course Statistics
In our series finale, we're going to take a look at some of the times we've used statistics to gaze into our crystal ball, and actually got it right! We'll talk about how stores know what we want to buy (which can sometimes be a good...
Crash Course
Regression - Crash Course Statistics
Today we're going to introduce one of the most flexible statistical tools - the General Linear Model (or GLM). GLMs allow us to create many different models to help describe the world - you see them a lot in science, economics, and...
Crash Course
Sampling Methods and Bias with Surveys - Crash Course Statistics
Today we’re going to talk about good and bad surveys. From user feedback surveys, telephone polls, and those questionnaires at your doctors office, surveys are everywhere, but with their ease to create and distribute, they're also...
Crash Course
Playing with Power P-Values Pt 3 - Crash Course Statistics
We're going to finish up our discussion of p-values by taking a closer look at how they can get it wrong, and what we can do to minimize those errors. We'll discuss Type 1 (when we think we've detected an effect, but there actually isn't...
TED-Ed
TED-Ed: Can you solve the locker riddle? - Lisa Winer
Your rich, eccentric uncle just passed away, and you and your 99 nasty relatives have been invited to the reading of his will. He wanted to leave all of his money to you, but he knew that if he did, your relatives would pester you...
3Blue1Brown
The determinant | Essence of linear algebra, chapter 6
The determinant has a very natural visual intuition, even though it's formula can make it seem more complicated than it really is.
TED-Ed
TED-Ed: Can you solve the fish riddle? - Steve Wyborney
As the cargo director on the maiden voyage of the S.S. Buoyant, you've agreed to transport several tanks containing the last specimens of an endangered fish species to their new aquarium. Unfortunately, the boat is battered by a fierce...
3Blue1Brown
Why slicing a cone gives an ellipse
A beautiful proof of why slicing a cone gives an ellipse.
Crash Course
You Know I’m All About that Bayes - Crash Course Statistics
Today we’re going to talk about Bayes Theorem and Bayesian hypothesis testing. Bayesian methods like these are different from how we've been approaching statistics so far, because they allow us to update our beliefs as we gather new...
TED-Ed
TED-ED: The mathematics of sidewalk illusions - Fumiko Futamura
Have you ever come across an oddly stretched image on the sidewalk, only to find that it looks remarkably realistic if you stand in exactly the right spot? These sidewalk illusions employ a technique called anamorphosis - a special case...
Crash Course
How P-Values Help Us Test Hypotheses - Crash Course Statistics
Today we're going to begin our three-part unit on p-values. In this episode we'll talk about Null Hypothesis Significance Testing (or NHST) which is a framework for comparing two sets of information. In NHST we assume that there is no...
3Blue1Brown
Exponential growth and epidemics
A primer on exponential and logistic growth, with epidemics as a central example
3Blue1Brown
The quick proof of Bayes' theorem
A short explanation of why Bayes' theorem is true, together with discussion on a common misconception in probability
Crash Course
P-Value Problems - Crash Course Statistics
Last week we introduced p-values as a way to set a predetermined cutoff when testing if something seems unusual enough to reject our null hypothesis - that they are the same. But today we’re going to discuss some problems with the logic...
Crash Course
Measures of Spread - Crash Course Statistics
Today, we're looking at measures of spread, or dispersion, which we use to understand how well medians and means represent the data, and how reliable our conclusions are. They can help understand test scores, income inequality, spot...
TED-Ed
TED-Ed: Can you solve the Mondrian squares riddle? - Gord Hamilton
Dutch artist Piet Mondrian's abstract, rectangular paintings inspired mathematicians to create a two-fold challenge. Can you solve the puzzle and get to the lowest score possible? Gordon Hamilton shows how.
Crash Course
Charts Are Like Pasta - Data Visualization Part 1 - Crash Course Statistics
Today we're going to start our two-part unit on data visualization. Up to this point we've discussed raw data - which are just numbers - but usually it's much more useful to represent this information with charts and graphs. There are...
3Blue1Brown
Ever wondered why slicing a cone gives an ellipse? It’s wonderfully clever!
A beautiful proof of why slicing a cone gives an ellipse.