Probability and statistics animations made with AI

Distributions, the law of large numbers, Bayes' theorem and the central limit theorem come alive when you can watch samples accumulate. The generator builds diagrams and applies automatic layout checks; preview the result before using it.

Prompts to start from

• Animate the central limit theorem with sample means piling into a bell curve
• Show Bayes' theorem with a population grid
• Visualize expected value as the balance point of a distribution

Probability & statistics animations from the gallery

The normal distribution: the 68-95-99.7 rule

A normal distribution curve is built up with shaded bands marking one, two, and three standard deviations from…

Logistic regression: a separating line and a probability curve

Two clusters of labeled points sit on a plane while a straight line rotates and shifts, searching for the orie…

Underfitting and overfitting

Ten noisy training points and three held-out test points are fit with polynomials of degree 1, 3, and 9. The a…

Bayes' theorem: a positive test is not a diagnosis

A population of 200 people, 5% sick, is tested with a 90% sensitive, 90% specific test. The animation counts o…

The binomial distribution: heads in n coin flips

Bar charts show P(k) = C(n,k)/2^n for n = 1, 2, 3, 4, 6, 8, and 10, with heights generated directly from Pasca…

Least squares: the line with the smallest squared errors

Seven scattered points appear alongside a movable line, with vertical residuals shown as squares whose areas s…

The central limit theorem, one sample at a time

Starting from a skewed exponential population, the animation builds sampling distributions of the mean for sam…

Questions

What is in the Vismo Library?

Hand-reviewed, verified math and science animations organised by topic: calculus, algebra, geometry, trigonometry, linear algebra, probability, number theory, physics, chemistry and computer science. Every item passed the frame-by-frame layout check and a human review. Anyone can watch; paid members download the video and the Manim source file.

Can I use Library animations in my lessons and videos?

Yes. Paid plans include unlimited MP4 downloads for classroom use, plus Adapt: change the pace, colours, numbers or narration of any Library animation and create a version for your classroom or course. Adaptations show an estimate before you start and charge actual usage. Creators are credited on the Library page; no attribution is required inside your lesson.

How long does it take to generate an animation?

Generation time depends on the model, scene complexity, video length and narration. Vismo shows progress while it writes the scene, prepares speech and renders the video. Complex lessons can take several minutes.